If a constant force of 85 lb is used to pull a cart a distance of 220 ft. Then the work done W is 18700 ft-lb.
Work is the amount of energy transferred when a force is applied over a distance. In this case, a constant force of 85 lb is used to pull a cart a distance of 220 ft. To find the work done, we can use the formula W = Fd, where F is the force and d is the distance. Plugging in the values, we get W = 85 x 220 = 18700 ft-lb. This is the amount of work done by the force to move the cart a distance of 220 ft.
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If the ratio of distance from the epicenter to S-P lag time is 10 to 1, what would the distance be if the S-P lag time is 23.2 minutes?
In an experiment in space, one proton is held fixed
and another proton is released from rest a distance
of 2.00 mm away.
What is the initial acceleration of the proton after it is released?
The proton's initial acceleration after being emitted is discovered to be 3.449 x 104 m/s².
When does a proton leave the body?because there is no magnetic force acting on a charged particle while it is at rest. The proton won't move or experience electric force unless it is forced out of its resting place. The direction of application of the electric force will match that of the acceleration.
One coulomb weighs how much?In coulombs, the SI's measuring unit for electric charge, it is determined how much charge is transported by a flow of one amp for one second. The ability of a chemical to cause electrical and magnetic effects could potentially be one of its properties.
According to the given information:F = Kq1 q2 / r²
Charge of a proton = 1.6022 x 10⁻¹⁹ c
Mass of a proton = 1.6726 x 10⁻²⁷ kg
r= 2mm => 2 x 10⁻³m
k= 8.99 × 10⁹ N ⋅ m² /C².
F= 8.99 × 10⁹ x (1.6022 x 10⁻¹⁹)² / (2 x 10⁻³)²
=> 5.769 x 10⁻²³N
F = M x a
5.769 x 10⁻²³ = 1.6726 x 10⁻²⁷ x a
=> Acceleration = 3.449 x 10⁴m/s²
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The net force on a box is in the positive x direction. Which of the following statements best describes the motion of the box? Its velocity is parallel to the x axis Neither its velocity or its acceleration need be parallel to the x axis Both its velocity and its acceleration are parallel to the x axis Its acceleration parallel to the x axis
The statement "Both its velocity and its acceleration are parallel to the x axis" best describes the motion of the box when the net force on the box is in the positive x direction.
If a net force acts on an object in the positive x direction, the object experiences an acceleration in the positive x direction. According to Newton's second law of motion, the acceleration of an object is proportional to the net force acting on it and inversely proportional to its mass. As a result, the object will move in the positive x direction with a continually increasing velocity. Therefore, both the velocity and acceleration of the box are parallel to the x axis.
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is the vertical component of velocity ever zero? if so, where?
a. yes, it is zero at points a and e. b. yes, it is zero at all points.
c. yes, it is zero at point c. d. no, it is never zer
c. Yes, it is zero at point c. The vertical velocity component can become zero when the projectile reaches its maximum altitude.
At the highest point of the projectile, its vertical component is instantaneous before it changes direction and the object begins to fall under the influence of gravity.
What Is that projectile motionProjectile motion is motion with a curved path in the form of a parabola curve. Due to this curved trajectory, the projectile's motion is included in two-dimensional motion. The meaning of two-dimensional motion is that the motion of objects can be projected in horizontal and vertical directions.
In physics, in the horizontal direction, there is no force affecting it so that the object moves at a constant speed. Conversely, in the vertical direction, the gravitational force pulls the object down so that the object moves at a constant speed.
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What are the major energy transformations that occur between when energy starts from a primary energy source, becomes a piece of wood, which is then burned in a fire?
Sunlight to chemistry energy conversion, energy transfer as from sun to plants, kinetic energy is created by converting thermal energy. when wood is burned, mechanical energy is converted to thermal energy.
What are the primary six energy forms?Chemical, electrical, infrared, mechanical, thermal, et nuclear energy are the six main types of energy. Different research may focus on other forms, such as electric, acoustic, electromagnetic, and some others.
What is an indication of an energy revolution?Energy transition describes the change in the global energy industry away from fossil-based methods of hydropower, such as oil, natural gas, and coal, and toward rechargeable batteries with renewable sources of electricity like wind and solar.
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A ball is dropped from the top of a 93-m-high building. What speed does the ball have in falling 3.3 s?
Answer:
32.34 m/s
Explanation:
refer to the attachment
hope this helps
To construct an oxygen-hemoglobin dissociation curve in lab, you will use the spectrophotometer to measure the absorbance of hemoglobin samples at which of the following wavelengths?525nm550nm620nm660nm
The 660 nm wavelength light is absorbed more by the hemoglobin and can be measured using the spectrophotometer.
The strength with which oxygen binds to hemoglobin is affected by several factors and can be expressed as a left or right shift in the oxygen dissociation curve. Shifting the curve to the right indicates that hemoglobin has a reduced affinity for oxygen, so oxygen is actively pumped out. Oxygen-hemoglobin saturation/dissociation curves are affected by pH, temperature, and 2,3-bisphosphoglycerate (BPG). The oxygen dissociation curve is a graph with oxygen partial pressure on the horizontal axis and oxygen saturation on the vertical axis, showing an S-shaped relationship. Oxygen and carbon dioxide are carried in the blood as a result of changes in blood pressure
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The acceleration due to gravity at a given location is affected in what way as that locations distance from the planets center is doubled
The relation between, the acceleration due to gravity at a given location and when that locations distance from the planets center is doubled, in that case acceleration due to gravity will be 4 times less than at given location.
What is acceleration ?Acceleration is a vector quantity that describes the rate at which an object changes its velocity. It is the rate at which the velocity of an object changes in magnitude or direction, or both. In other words, it tells us how quickly an object is speeding up or slowing down. Acceleration has units of meter per second squared (m/s²) and its direction is the same as the direction of the change in velocity.
The acceleration due to gravity decreases as the distance from the center of the planet is doubled.
The formula for gravitational acceleration is given by:
g = G x M / r^2,
where G is the gravitational constant, M is the mass of the planet, and r is the distance from the center of the planet.
As r doubles, the value of g decreases by a factor of 4.
Hence, the acceleration due to gravity will 4 times less.
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Consider the spectra shown below. The top spectrum shows hydrogen lines observed at rest in a laboratory. The other three show the hydrogen lines from three different stars.
*DUE TOMORROW (2/7) NEED ANSWER TODAY (2/6
a.) For each star, determine whether it is moving toward or away from us.
b.) Which star is moving the fastest? How do you know?
(a) Star B are moving towards the earth while star A and C are moving away from Earth.
(b) The star that is moving the fastest star C because its wavelength is the highest.
What is the speed of an object?
The speed of an object like star is measured from the speed and wavelength of the corresponding star.
Mathematically, the relationship between speed and wavelength of a particle is given as;
v = fλ
where;
f is the frequency of the particleλ is the wavelength of the particlev is the speed of the particleIf a star is moving towards Earth, it appears to emit light that is shorter in wavelength compared to a source of light that isn't moving.
So star B are moving towards the earth while star A and C are moving away from Earth
The star that is moving the fastest will have the highest wavelength, hence star C is the fastest.
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34) two points on a transverse wave that have the same magnitude of displacement from equilibrium are in phase if the points also have the
If two transverse wave points which have the identical magnitude of departure from equilibrium share the same orientation of departure and motion, the points are said to be in phase.
Describe the magnitude.In theoretical particle physics, magnitude is just "distance or quantity." It demonstrates the size, direction, and speed of an item in both relative and absolute terms. It's a term for describing the size or breadth of something.
Is magnitude a component of direction?Vectors contain quantities that include both both magnitude and direction. The terms force, momentum, displacement, and velocity are all examples of vector quantities. We refer to something like a vector's length as its absolute value. Only if the measured values of two vectors are equal can we draw the conclusion that they are similar.
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write two different between pascals law and archimedes principles
Answer:
Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. ... Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.
A investigation was done, wrapping copper wire around the nail and sticking it with a tape to the battery, im measuring the number of pins which could pick up, what can be the control variable?
The number of pins that can be lifted depends on the potential difference of the battery.
What is electromagnetic induction?You may create a weak magnet by coiling some copper wire and attaching the ends to a small battery. Coil your copper wire around an enormous iron nail to create an even more powerful electromagnet. Magnetic induction causes the nail to become into a magnet, strengthening the entire structure.
An investigation was done, wrapping copper wire around the nail and sticking it with tape to the battery.
The magnetic force depends on the potential difference of the battery.
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calculate the theoretical density of ge assume ge has the diamond cubic structure the atomic radius is 1.225 a and the atomic mass is 72.59 use avo
According to the problem This gives us a theoretical density of 6.1 g/cm^3.
What is theoretical density?Theoretical density is a calculation of the maximum amount of matter that a substance is able to contain in a specific amount of space, usually expressed in terms of grams per cubic centimeter.
The density of a material can be determined using Avogadro's number, which is[tex]6.02 x 10^23[/tex]mol^-1. The atomic mass of Ge is 72.59 g/mol, and the atomic radius of Ge is 1.225 Å.
To calculate the density, we must first calculate the volume of a single Ge atom. This can be done using the atomic radius, which gives us a volume of[tex]7.23 x 10^-23 cm^3.[/tex]
Next, we can calculate the number of atoms per unit volume by dividing Avogadro's number by the volume of a single atom. This gives us[tex]8.38 x[/tex][tex]1[/tex][tex]0^22 atoms/cm^3.[/tex]
Finally, we can calculate the density by multiplying the number of atoms per unit volume by the atomic mass. This gives us a theoretical density of 6.1 g/cm^3.
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In compressing the spring in a toy dart gun, 4 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.02 kg. a. What is the dart's kinetic energy as it leaves the gun?
b. What is the dart's speed?
c. The ceiling of an arena is 19.8 m above the floor. What is the minimum speed that a thrown ball would have to have to reach the ceiling?
The kinetic energy of the dart as it leaves the gun is 4 Joules, the dart speed is 10 m/s, and the minimum speed that a thrown ball would have to reach the ceiling is 19.8 m/s.
The kinetic energy of the dart can be calculated using the formula:
KE = PE
where PE is the potential energy stored in the spring, and KE is the kinetic energy of the dart.
Since 4 J of work was done in compressing the spring, the potential energy stored in the spring is 4 J. The kinetic energy of the dart can then be calculated as:
KE = PE = 4 J.
Therefore the kinetic energy of the dart as it leaves the gun is 4 Joules.
The speed of the dart can be calculated using the equation of kinetic energy:
KE = 0.5 × m × v²
where m is the mass of the dart and v is its speed. Substituting the values, we get:
4 J = 0.5 × 0.02 kg × v²
v² = (4 J) / (0.5 × 0.02 kg)
v = √((4 J) / (0.5 × 0.02 kg))
v = √400
v = 20 m/s.
Therefore, the speed of the dart is 20 m/s.
The minimum speed that a ball would have to have to reach the ceiling can be calculated using the equation of vertical motion:
v² = v_0² + 2 × a × h
where v is the final speed, v_0 is the initial speed (assumed to be 0), a is the acceleration due to gravity (9.8 m/s²), and h is the height of the ceiling (19.8 m).
v = √(2 × 9.8 × 19.8)
v = √(394.4)
v = 19.8 m/s.
So, the minimum speed that a ball would have to have to reach the ceiling is 19.8 m/s.
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round around the sun. earth. satellite is a satellite that cebits the equator with the same angalar velocity a Part Two: Match the items ander column "B" with the items under column "A" as related A B 9. Friction charges 10. Loss electrons 11. Like charges A Repel forces B. Positive charges C. Charging by rubbing D. Attracting forces E 12. Unlike charges 13. Neutral charges E. Charging by induction Part Three: Choose the correct answer from the given alternatives. 14. If Charge Ql attracts Q2 and charges Q2 repels charge Q3. Which of the following is correct their signs? A. D.- 13. The electric field strength at a point is defined by the force of A. Source charges B. Test charge C. An electron D. Proton C B 6. Orbital velocity of a satellite does not depend on: A. Mass of earth B. Mass of satellite C Radius of earth D. Acceleration due to gravity 7. When a planet moves around the sun: A the angular moment remains conserved. B. The angular speed remains constant. C. The linear momentum remains constant. D. The linear velocity remains constant. - Kepler's law of area is consequence of A. conservation energy. B. conservation of mass. C. conservation of linear momentum. D. conservation of angular momentunt. A current of 4A flows through 2011 resistors. How much power is lost in the resistor? A. 320w B. 80w C. 24w D. 60 A boy observed that a pen rubbed on his dry hair attracted a nearby neutral piece of paper cause of the attraction? A. Magnetic forces B. Nucleus forces C. Gravitational forces D. Electrostatic forces What will happen to the electric potential at a point in the field if the distance from the c Decrease by half B. Increase two times C. Increase four times D. Decrease to he distance between plates of a parallels plate capacitor is 1cm. If the electric field st at is the potential difference between the plates of the capacitor? B. 0.13/c Die C. 10J/c D. 0.013/c
The matchup are given below
9. Friction charges: Charging by rubbing (C)
10. Loss electrons: Positive charges (B)
11. Like charges: Repel forces (A)
12. Unlike charges: Attracting forces (D)
13. Neutral charges: Charging by induction (E)
14. If Charge Q1 attracts Q2 and charges Q2 repels charge Q3, the correct sign of their charges is: Unlike charges (D)
15.The electric field strength at a point is defined by the force of: Test charge (B)
16. Orbital velocity of a satellite does not depend on: Mass of earth (A)
17. When a planet moves around the sun: The angular moment remains conserved (A)
18. Kepler's law of area is a consequence of: conservation of angular moment (D)
18. If a current of 4A flows through a 2011 ohm resistor, the power lost in the resistor is: 80W (B)
20. If a boy observed that a pen rubbed on his dry hair attracted a nearby neutral piece of paper, the cause of the attraction is: Electrostatic forces (D)
21. If the distance from a point in the electric field is decreased by half, the electric potential at that point will: Increase four times (C)
22. The potential difference between the plates of a parallel plate capacitor with a distance of 1cm between plates and electric field strength of 10J/c is: 0.13V/c (B)
What are the statements about?The term "Friction charges" refers to the process of charging an object by rubbing it against another material. When two materials are rubbed together, electrons can be transferred from one material to the other, creating a static electric charge. The resulting charge on the object is referred to as "friction charges."
Therefore, in terms of Loss electrons: The term "Loss electrons" refers to a situation in which an object loses electrons and becomes positively charged. This can occur when electrons are transferred from the object to another material through a process such as friction charging or electrical discharge. When an object loses electrons, it has a surplus of positively charged particles and is said to have a positive charge.
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much of tibet lies at altitudes over 18,000 feet where the pressure is about 500 mb. at such altitudes, the tibetans are above roughly
A. 10% of the air molecules in the atmosphere
B. 25% of the air molecules in the atmosphere
C. 50% of the air molecules in the atmosphere
D. 75% of the air molecules in the atmosphere
The air molecules are at least 75% of the air molecules at sea level.
What is air molecules?Air molecules are microscopic particles of matter that make up the atmosphere. They are composed of two atoms of oxygen and two atoms of nitrogen, which are held together by covalent bonds.
The atmospheric pressure at sea level is about 1,000 mb, which is equivalent to the weight of the air column over a given area. Since the atmospheric pressure in Tibet is 500 mb, this means that the air molecules at this altitude make up about half of the air molecules at sea level. This means that at 18,000 feet, the air molecules are at least 75% of the air molecules at sea level.
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use the results from parts b and c in the product rule of differentiation to find a simplified expression for the vertical velocity of the car,
The car's vertical velocity must be determined using the differentiation chain. When f(x) be only a function over g(x), or if g(x) is scaled by a derivative of f, so the derivative of a function is equal to the deduction (x).
How can I calculate velocity?The object's beginning velocity may be calculated by dividing the total distance traveled by the time period it took the object to go a specific distance. In the formula V = d/t, V is the speed, d speed distance, and t the time.
A velocity vector, does it have a direction?Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity.
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To find the 65th percentile, first find the location in the ordered data this value will occur. Recalling that n = 8, find 165: sp p (n + 1) 100 L65 (8 + 1) 100
The 65th percentile can be found by using the formula: p(n + 1) = 65/100 * (8 + 1) = 65/100 * 9 = 5.85
So, the location of the 65th percentile in the ordered data set is approximately 5.85. This means that approximately 5 of the 8 values are below the 65th percentile, and the other 3 values are above it. To get an exact value, you would need to interpolate between the 5th and 6th values in the ordered data set.
Interpolation is a method of estimating values between two known values. To interpolate the value of the 65th percentile, you can use the following formula: value = (5.85 - 5) / (6 - 5) * (value at position 6 - value at position 5) + value at position 5
In this formula, "value at position 5" refers to the 5th value in the ordered data set, and "value at position 6" refers to the 6th value in the ordered data set. By substituting these values into the formula, you can find an estimate for the value of the 65th percentile.
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A person pushes a 16.0-kg shopping cart at a constant velocity for a distance of 22.0 m. She pushes in a direction 29.0� below the horizontal. A 48.0-N frictional force opposes the motion of the cart. (a) What is the magnitude of the force that the shopper exerts? Determine the work done by (b) the pushing force, (c) the frictional force, and (d) the gravitational force.
The force that the shopper exerts is equal to the frictional force of 48.0 N in the opposite direction.
The work done by the pushing force is equal to the force multiplied by the distance, W = Fd = (48.0 N)(22.0 m) = 1056 J. The work done by the frictional force is equal to the opposite of the work done by the pushing force, W = -1056 J.
The work done by the gravitational force is zero since the gravitational force is in the opposite direction of the displacement and the object is not moving up or down, it is moving horizontally.
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A one-fifth scale model of a parachute has a drag of 450 lbs when tested st 20 ft/s in a water tunnel. If Reynolds No effects are negligible (drag coefficient is a constant), estimate the terminal fall velocity at 5000 ft if the weight of chute and chutes is 160 lbs Neglect drag on woman (only consider chute).
When evaluated at 20 feet per second in a water tunnel, a parachute model that is one-fifth the size does have a drag of 450 pounds. When Reynolds Negligible consequences don't exist.
Describe a scale?Something graded, especially if used as a benchmark or guideline, such as to show how far points on a map are from their corresponding real-world distances.
A thermometer is what?It was created to measure the body temperature of people. It has a mercury-filled bulb at the end of a long, narrow glass tube. The average body temperature of a person might vary between these ranges. Hence, the selection of clinical thermometers.
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How much work is required to lift a 7.1-kg backpack 1.2 m to put it on?
Answer:
it requires approximately 83.5812 Joules of work to lift the 7.1-kg backpack 1.2 m.
Explanation:
The work done to lift the backpack can be calculated using the formula:
Work = Force x Distance x cos(theta)
where Force is the weight of the backpack, Distance is the height it is lifted, and theta is the angle between the direction of the force and the direction of the displacement.
The weight of the backpack can be calculated as:
Weight = mass x gravity
where mass is 7.1 kg and gravity is the acceleration due to gravity, which is approximately 9.81 m/s^2.
Weight = 7.1 kg x 9.81 m/s^2
Weight = 69.651 N
The distance the backpack is lifted is 1.2 m.
The angle between the direction of the force and the direction of the displacement is 0 degrees, since the force and displacement are in the same direction.
Therefore, the work done to lift the backpack is:
Work = 69.651 N x 1.2 m x cos(0°)
Work = 83.5812 Joules (J)
So, it requires approximately 83.5812 Joules of work to lift the 7.1-kg backpack 1.2 m.
The work required to lift a 7.1-kg backpack 1.2 meters is approximately 83.5 Joules. This is calculated using the physics equation for work, which is Work = Force x Distance, where Force is the weight of the object.
Explanation:In physics, the work done to lift an object is calculated by the equation Work = Force x Distance. The force required to lift an object is its weight, which is calculated by multiplying its mass by the gravitational acceleration (the approximate value is 9.8 m/s² on Earth).
So, to calculate the work done in lifting a 7.1-kg backpack 1.2 m, we would first calculate the force (or weight) required to lift the backpack: Force = Mass x Gravitational acceleration = 7.1 kg x 9.8 m/s² = 69.58 N.
Then we multiply this force by the distance the backpack is lifted: Work = Force x Distance = 69.58 N x 1.2 m = 83.5 Joules.
So the work required to lift the backpack is approximately 83.5 Joules.
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What is differential equation for the velocity of a falling object of mass m if the magnitude of the drag force is proportional to the square of the velocity and its direction is opposite to that of the velocity?
The differential equation that describes the velocity of a falling object of mass "m" under the influence of a drag force proportional to the square of the velocity and opposite in direction is dv/dt = -(b/m) × v².
The equation for the velocity of a falling object under the influence of drag force is described by a second-order ordinary differential equation. The drag force is proportional to the square of the velocity, and its direction is opposite to that of the velocity, which gives the equation:
F_drag = -bv²
where b is a constant of proportionality and v is the velocity of the object.
Newton's second law of motion states that the net force acting on an object is equal to its mass multiplied by acceleration, or:
F_net = m × a
Combining these two equations, we have:
m × dv/dt = -bv²
Rearranging the equation we have:
dv/dt = -(b/m) × v².
This is the ordinary differential equation that describes the velocity of a falling object under the influence of a drag force proportional to the square of the velocity and opposite in direction. To solve this equation, we would need to specify initial conditions for the velocity and position of the object, as well as the value of the constant b.
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Economics affects nearly everything we do in some way. Someone else has produced most items we consume, or use, in our daily lives, from food to clothes to music to gas for our cars. Chances are, when we purchase these daily items, we don't question the price with the producer. But in the United States, the interactions between the consumers and producers determine quite a lot in terms of business and economics.
Think about the items and services that you and your family buy or consume. What causes you to pay the prices that you do for these goods and services? What determines the price that's on the price tag? What goes into determining, or setting, that price? Consider all the possible elements that could influence the prices you pay.
We consume a variety of goods and services, including groceries, toothpaste, internet access, cars and gas, fruits, and many more. They are likely to purchase an item if the price is low and it appears to be what they need or want.
Describe the relationship between a consumer and a producer.
People are producers when they create products and services—goods and services, goods and services, goods and services. They are consumers when they use the products that have been produced, the products that have been produced, the products that have been produced.
We pay costs for these products since we use them constantly and we need them in our daily life. We purchase groceries and fruits because we must eat food. Usually, the price of a thing is determined by the demand for it. Then, you can consider market competition, inflation rates, the standard of the goods, where they are available, how much it costs to produce them, as well as numerous government regulations and taxes.
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which of the following bicycle masses will likely accelerate to 12 m/s the fastest assuming the mass of the rider is the same for all? A. 8 kg B. 12 kg C. 15 kg D. 24 kg
8 kg of the following bicycle masses will likely accelerate to 12 m/s the fastest assuming the mass of the rider is the same for all as lower the mass faster the acceleration will be. Thus, option A is correct
What is mass?Mass is the physical property of a body which determines its resistance to acceleration when a net force is applied. It is measured in kilograms (kg) or pounds (lbs) and is proportional to the amount of matter the body contains. Mass is an intrinsic property of matter, meaning it cannot be altered by changing the shape, size or temperature of a body. Mass is often confused with weight, which is the measure of the gravitational force on an object, and should not be used interchangeably.
The total mass of the graduated cylinder and the water for the three measurements would depend on the individual masses of each measurement. For example, if the measurements were 10mL, 20mL, and 30mL of water respectively, the total mass of the graduated cylinder and the water would be the sum of the individual masses. Assuming the density of the water is 1g/mL, the total mass of the graduated cylinder and the water for the three measurements would be 40g. If the measurements were 20mL, 40mL, and 60mL of water respectively, the total mass of the graduated cylinder and the water for the three measurements would be 120g.
a = F/m
Let F be 10
a = 10/m
When m = 1
a = 10/1
= 10
When m = 10
a = 10/1
= 10/10
= 1
Thus, lower value of mass will give higher value of acceleration.
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An automobile tire has a volume of 0.0185 m 3 3 . At a temperature of 294 K the pressure in the tire is 212 kPa. How many moles of air must be pumped into the tire to increase its pressure to 252 kPa, given that the temperature and volume of the tire remain constant?
The number of moles of the air will be 1.6.
What is an ideal gas equation?The equation of state for a fictitious ideal gas is known as the ideal gas law, also known as the general gas equation. Although it has some restrictions, it is a good approximation of the behaviour of many gases under various circumstances.
Given that an automobile tire has a volume of 0.0185 m ³. At a temperature of 294 K, the pressure in the tire is 212 kPa.
Calculate the volume at pressure P₂,
P₁V₁ = P₂V₂
V₂ = ( P₁V₁ ) / P₂
V₂ = ( 212 x 0.0185 ) / 252
V₂ = 0.0155 m³
The number of the moles will be calculated as:-
PV = nRT
n = ( P₂V₂ / RT)
n = ( 252 x 0.0155 x 1000 ) / ( 8.3145 x 294 )
n = 1.6 moles
Therefore, there will be 1.6 moles in the air.
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A 6.30 m length of 2.3 mm diameter wire carries a 790 mA current when 25.0 mV is applied to its ends.(a) Determine the resistance of the wire.(b) Determine the resistivity.(c) If the drift speed is 1.8×10−5 m/s1.8×10−5 m/s, determine the number of free electrons per unit volume.
The resistance, resistivity and the drift speed of electrons are as follows:
What is resistance?
Resistance is a measure of how difficult it is for electric current to flow through a material. It is defined as the ratio of the voltage across the material to the current passing through it. Mathematically, resistance can be expressed as R = V/I, where R is the resistance, V is the voltage, and I is the current.
a) To determine the resistance of the wire, we can use Ohm's law, which states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor:
V = I × R
We have the voltage (V) and current (I) values, so we can calculate the resistance as follows:
R = V / I
R = 25.0 mV / 790 mA
R = 0.03175 Ω
b) The resistivity of a material is a measure of its resistance to the flow of electrical current. It is a property of the material and is independent of the size and shape of the conductor. The formula for resistivity is given by:
ρ = R × A / l
Where R is the resistance, A is the cross-sectional area of the wire, and l is its length. We have the resistance value, so we can calculate the resistivity as follows:
ρ = R * A / l
[tex]\mathrm{\rho = 0.03175 \Omega \times \pi \times \dfrac{ (2.3 mm / 2)^2 }{ 6.3 m} }[/tex]
ρ = 1.57 × 10⁻⁸ Ω m
c) The drift speed of electrons in a conductor is a measure of the average speed of the free electrons in the conductor. It is given by:
[tex]\mathbf{v_d}[/tex] = I / (nₑ × A)
Where I is the current, ne is the number of free electrons per unit volume, and A is the cross-sectional area of the wire. We have the drift speed and current values, so we can calculate the number of free electrons per unit volume as follows:
nₑ = I / ([tex]\mathrm{v_d}[/tex] × A)
[tex]\mathrm{n_e = \dfrac{790 mA}{ 1.8 \times 10^{-5} m/s \times \pi \times (2.3 mm / 2)^2} }[/tex]
nₑ = 1.05 × 10²⁸ m⁻³
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Prove that if P and Q are two longest paths in a connected graph then P and Q have at least one vertex in common. (b) Prove or disprove: Let G be connected graph of diameter k If P and Q are two geodesics of length k in vertex in G, then P and Q have at least one common.
If P and Q are two longest paths in a connected graph then P and Q must have at least one vertex in common.
Let P and Q be two longest paths in a connected graph G. Assume for contradiction that P and Q have no vertices in common. Without loss of generality, let P start from vertex u and end at vertex v, and let Q start from vertex w and end at vertex x.
Since G is connected, there exists a path between u and w and a path between v and x. Let's consider the path between u and w first. By definition, both P and the path between u and w have u as a common vertex. If the path between u and w is longer than P, then it contradicts that P is the longest path. Hence, the path between u and w is shorter than P.
Similarly, the path between v and x must also be shorter than Q.
So, we have two paths of length less than the length of P and Q connecting vertices that are not on P or Q, which means that the concatenation of these two paths along with P and Q form a cycle. The length of this cycle must be longer than P and Q, which again contradicts the assumption that P and Q are the longest paths in G.
(b) Disprove: The statement is false. Consider a cycle of length k in the graph G. The two diametrically opposite vertices are two geodesics of length k, but they do not have any common vertices. This shows that the statement "If P and Q are two geodesics of length k in vertex in G, then P and Q have at least one common" is not always true.
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In an experiment a negatively charged balloon (balloon X) is repelled by another charged balloon Y. However, an object Z is attracted to balloon Y. Which of the following can be the charge on Z? Select two answers. a. negative b. positive c. neutral d. cannot be determined
In this scenario, if balloon X is negatively charged and is repelled by balloon Y, then it is most likely that balloon Y is positively charged. If an object Z is attracted to balloon Y, then it is most likely that object Z is either negatively charged or neutral. Therefore, the charge on object Z could be either option a or c, which are negative or neutral respectively.
In the given scenario in this question, balloon X has a negative charge and is repelled by balloon Y. This suggests that balloon Y has a positive charge. The attraction of object Z to balloon Y indicates that it is either negatively charged or neutral.
Therefore, the charge on object Z is either negative or neutral, but not positive or indeterminate. This is due to the fundamental principle of electrical charges, where opposite charges attract each other and similar charges repel each other.
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Which of the following statements is not correct per Article 100 definition?
a. Branch-circuit overcurrent protective devices are capable of being able to provide a full range of overcurrent protection from rated current to its interrupting rating.
b. Branch-circuit overcurrent protective devices are intended for protection of a service, feeder or branch circuit of an electrical system.
c. Branch-circuit overcurrent protective devices must be listed in combination with the specific device it is intended to protect.
d. Branch-circuit overcurrent protective devices must have interrupting rating sufficient for the application, but not less than 5 kA.
C. Branch-circuit overcurrent protective devices must be listed in combination with the specific device it is intended to protect.
About Branch-circuitThe circuit consists of wires that connect the power source to fuses, switches and loads. Loads are devices that consume energy flowing through a circuit, like a light bulb in a lamp.
Branch circuits are a particular type of circuit that runs from the circuit breaker panel to the devices in the building. Branch circuits are classified as general purpose, equipment, or individual circuits depending on their function.
Every building that is connected to electricity has a circuit breaker panel. These panels are usually metal boxes or cabinets filled with switches and mounted on the wall. Every switch is connected to an electrical circuit in the house and can cut off the power to that circuit if it is turned off.
Branch circuits run from every switch to the receptacles, lights and equipment in the building.
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which of the following spectrums are used by wireless networks? [choose all that apply] 2.4 ghz 5 ghz 3.6 ghz 1.2 ghz
The 2.4 to 5 GHz band is used by a variety of wireless networks. Also, the speed that each sort of wireless network offers varies.
What is the spectrums are used by wireless networks?Seconds per meter Miles per hour, kilometres per hour, and meters per second (m/s) are the most popular speed measurement units (mph). An object's speed is the distance it travels in a predetermined length of time. The speed equation is defined as speed = distance x time.
If you know how far an object travels in a certain amount of time, you can calculate its speed. For instance, if a car travels 70 miles in an hour, it is going at a speed of 70 miles per hour.
Depending on where and how you use your Wi-Fi connection the most, you should choose between 2.4 GHz and 5 GHz.
Therefore, while a 5 GHz connection offers greater speeds at closer distances, a 2.4 GHz connection travels farther at slower speeds.
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