Work done on an object- Measure of energy transfer when an object is moved over a distance by an external force, at least some of which is applied in the displacement direction.
a. When the road exerts a friction force on a speeding car skidding to a stop, the work done by the friction force is negative. This is because the friction force opposes the motion of the car and slows it down. When the force is in the opposite direction of the motion of an object, the work done by the force is negative.
b. When a rope exerts a force on a bucket as it is raised up a well, the work done by the rope is positive. The force of the rope is in the same direction as the displacement of the bucket, so the work done by the rope is positive. When the force is in the same direction as the motion of an object, the work done by the force is positive.
c. When air exerts a force on a parachutist as they fall to Earth, the work done by the air is negative. The force of air resistance opposes the motion of the parachutist and slows them down, so the work done by the air is negative.
Comparison of work done:
The work done by a force is defined as the product of the force and the distance traveled by an object.
If a neighbour pushes a lawnmower four times as far as you do but exerts only half the force, neighbour does more work. The work done by neighbour is four times the distance traveled by the lawnmower multiplied by half the force exerted .
To find the exact difference in the amount of work done, calculate the product of the distance traveled by the lawnmower and the difference in the force exerted by each person. Assuming that person pushed the lawnmower a distance of d units and exerted a force of f units. Then, neighbour pushed the lawnmower a distance of and exerted a force of
The work done by person is given by the equation
The work done by neighbour is given by the equation
The difference in the amount of work done is given by the equation W2 -
So, neighbour did units more work than the person has done.
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the weight exerts a moment of 1826 in.lb on his elbow at point e. what is the moment exerted by the same weight on his shoulder at point s?
The moment should exerted by the weight on his shoulder at point s is also 1826 in.lb.
This means that the weight exerts the same amount of torque on the shoulder as it does on the elbow.
The moment of a force is calculated by multiplying the force by the perpendicular distance between the force & the point where the moment is measured. Since the weight remains the same and the perpendicular distance between the weight and the shoulder and elbow are the same: the moment exerted by the weight on both points is equal. This is important information for understanding the mechanics of the body and how forces affect different points.
No picture is provided. However, the answer might still be relevant.
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What is a major impact of climate change for fish species? (1 point)
O shifting ocean currents
O too much carbon dioxide in water
O food toxicity
O changes in ocean habitat
Answer:
Changes in ocean habitat.
Explanation:
Climate change has a major impact on fish species by changing the conditions of the oceans where they live.
the planet Mars may be considered to be an isolated sphere of diameter of 6.79×10^6m with it's mass of 6.42×10^23 kg concentrated at its center. A rock of mass 1.40kg rests on the surface of Mars.
(assume that the dimensions of the rock are negligible compared to the radius of Mars)
(I) determine the weight of the rock on Mars
(ii) show that the gravitational potential energy of the rock is -1.77×10^7J
The weight of the rock on Mars is 5.18 N.
The gravitational potential energy of the rock is indeed -1.77×10⁷J
How to find weight and potential energy?(I) To determine the weight of the rock on Mars, use the formula for weight, which is given by:
Weight = Mass x Acceleration due to gravity
The acceleration due to gravity on Mars can be calculated using the formula:
Acceleration due to gravity = (Gravitational constant x Mass of Mars) / (Radius of Mars)²
Plugging in the given values:
Acceleration due to gravity = (6.67 x 10⁻¹¹ Nm²/kg²) x (6.42 x 10²³ kg) / (3.395 x 10⁶ m)²
= 3.71 m/s²
The weight of the rock can now be calculated as:
Weight = 1.40 kg x 3.71 m/s²
= 5.18 N
(ii) To find the gravitational potential energy of the rock, use the formula:
Gravitational potential energy = -(Gravitational constant x Mass of Mars x Mass of rock) / Distance between the center of Mars and the rock
The distance between the center of Mars and the rock is equal to the radius of Mars, which is given as:
Radius of Mars = 3.395 x 10⁶ m
Plugging in the values:
Gravitational potential energy = -(6.67 x 10⁻¹¹ Nm²/kg²) x (6.42 x 10²³ kg) x (1.40 kg) / (3.395 x 10⁶ m)
= -1.77 x 10⁷ J
Thus, the gravitational potential energy of the rock on Mars is -1.77 x 10⁷J.
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A skater glides off a frozen pond onto a patch of ground at a speed of 2.9 m/s. Here she is slowed at a constant rate of 3.00 m/s2 . How fast is the skater moving when she has slid 0.38 m across the ground?
The skater 3.27 m/s is sliding 0.38 across the ground with a speed of 3.27 m/s. The result is obtained by using the formula for acceleration.
Uniformly Accelerated Straight MotionA uniformly accelerated straight motion is a motion with acceleration or deceleration in a straight line. In this motion, the equations apply in horizontal dimension are
v₁ = v₀ + at
v₁² = v₀² + 2ax
x = v₀t + ½ at²
Where
v₀ = initial velocityv₁ = final velocitya = accelerationt = timex = distanceA skater glides off a frozen pond onto a patch of ground.
v₀ = 2.9 m/sa = 3.00 m/s²Find how fast is the skater moving when she has slid 0.38 m across the ground! (s = 0.38 m).
Using the formula above, the skater will move with a speed of
v₁² = v₀² + 2ax
v₁² = 2.9² + 2(3.0)(0.38)
v₁² = 10.69 m
v₁ = 3.27 m/s
Hence, the skates moves slower at a rate of 3.27 m/s.
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state two precautions taken in an experiment of an extension spiral spring
Answer:
1. Control of External Factors: One precaution that should be taken when conducting an experiment with an extension spiral spring is to control external factors that may affect the accuracy of the results. This can include controlling temperature, humidity, and air pressure to minimize any environmental changes that may affect the spring's behavior.
2. Proper Measurement Techniques: Another precaution to take is to use proper measurement techniques. This can include using accurate and precise measuring instruments, such as a ruler or caliper, and properly measuring the length and force of the spring's extension.
a tennis ball bounces on the floor. during each bounce, it loses 31 % of its energy due to heating. how high does the ball reach after the third bounce, if it is initially released 4 m from the floor?
The ball reaches a height of 1.38 m after the third bounce, if it is initially released 4 m from the floor.
What is height?
Height is a measurement of vertical distance or elevation. It is usually defined as the distance from a reference point, such as the ground or sea level, to a point of interest, such as the top of a building, a mountain, or an object. Height can be measured in various units, including meters, feet, and inches.
To find the height of the ball after the third bounce, we can calculate the height of the ball after each bounce and multiply by a factor that takes into account the loss of energy due to heating.
After the first bounce, the ball will lose 31% of its energy, so it will have only 69% of its initial energy. We can calculate the height of the ball after the first bounce by assuming that the ball's potential energy is equal to its initial height multiplied by its weight and subtracting the energy loss due to heating:
PE = mgh
h = PE / (mg)
h = (0.69 * 4 m * 9.8 m/s^2) / (0.06 kg * 9.8 m/s^2) = 2.86 m
After the second bounce, the ball will lose another 31% of its energy, so it will have only 69% of its energy after the first bounce. We can calculate the height of the ball after the second bounce using the same process:
h = (0.69 * 2.86 m * 9.8 m/s^2) / (0.06 kg * 9.8 m/s^2) = 2.01 m
After the third bounce, the ball will lose another 31% of its energy, so it will have only 69% of its energy after the second bounce. We can calculate the height of the ball after the third bounce using the same process:
h = (0.69 * 2.01 m * 9.8 m/s^2) / (0.06 kg * 9.8 m/s^2) = 1.38 m
So, the ball reaches a height of 1.38 m after the third bounce, if it is initially released 4 m from the floor.
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the rotating drum in a clothes-dryer has a radius of 0.37 m. if the acceleration at the rim of the drum is 31 m/s2, what is the tangential speed of the rim?
So, tangential speed for the rotating drum of the rim is 3.27 m / s. Each item traveling in a circle experiences tangential velocity, which is the rate at which it moves linearly.
Compared to a point close to the center, a point on the turntable's outer edge travels farther throughout one full spin. Tangential speed is the pace at which a point on the surface of a spinning object moves relative to the angular speed, which is measured in radians per second (tangent to the trajectory).
The circle radius and tangential speed are perpendicular as vectors.
We know that a = v^2 / R
So V^2 = a R
Or V = √a x R
Or V = √29 m/s^2 x 0.37 m
Or V = √10.73 m^2 / s^2
So V = 3.27 m / s
So the tangential speed of the rim is 3.27 m / s
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the voltage across a membrane forming a cell wall is 76 mv and the membrane is 7.75 nm thick. show answer no attempt what is the electric field strength in the cell wall, in volts per meter?
In terms of volts per metre, the electric field strength in the cell wall is 9.8 105V/m.
What exactly is a "electric field"?When charge is present in any form, a point in space has an electric field that is connected to it. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
voltage v= 76 mV
Membrane thickness d=7.75 nm
To find
Electric field strength E=?
Electric field strength =voltage/Membrane thickness
E = v/d
E = 76×10⁻³/7.75×10⁻⁹
E = 76×10⁷/775
E = 7600ₓ10⁵/775
E = 9.8×10⁵V/m
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Help please!!! Are forests a renewable resource? Are they ordinarily used in a renewable way? How can forests be more sustainably?
the constant potential difference across a 2 ohm resistor is 20 volts. how many watts of power are dissipated by this resistor?
A 2 ohm resistor loses 200 watts of electricity when the steady potential difference across everything is 20 volts, in accordance with the equation Power = V2/R.
What does an electrical volt mean?Volts are units used to express the intensity of either an electric potential difference and or force that propels electrons across a circuit. Electric current is measured in amps. Its quantity of electrons passing across a circuit is measured in terms of current.
What is a volt used to measure?Its difference potential energy that occurs between two points is measured in volts (symbol V). Alessandro Volta, the man who created the battery, is therefore honored by the name of the volt.
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how do you earn muscle to go on monkey bars
All you need is to be able to pull your weight up and you can use to monkey bars
Explanation:
as you stand near a railroad track, a train passes by at a speed of 34.5 m/s while sounding its horn at a frequency of 219 hz. what frequency do you hear as the train approaches you? what frequency do you hear while it recedes? use 344 m/s for the speed of sound in air.
The train approaches you, you hear a frequency of 255.3 Hz and as it recedes, you hear a frequency of 185.2 Hz.
The frequency of sound that you hear is affected by the relative velocity between the source of the sound (the train) and the observer (you). This effect is known as the Doppler effect. The Doppler effect causes the frequency of a sound wave to change as the source of the sound moves towards or away from the observer.
When the train is approaching you, the relative velocity between the train and you is the sum of the speed of the train and the speed of sound. So, the frequency that you hear as the train approaches is given by:
[tex]f' = f * (v + v_s) / (v_s - v)[/tex]
where f is the frequency emitted by the train (219 Hz), v is the speed of the train (34.5 m/s), and v_s is the speed of sound in air (344 m/s).
So, the frequency you hear as the train approaches is:
[tex]f' = 219 * (34.5 + 344) / (344 - 34.5) = 219 * 378.5 / 309.5 = 255.3 Hz[/tex]
When the train is receding from you, the relative velocity between the train and you is the difference between the speed of sound and the speed of the train. So, the frequency that you hear as the train recedes is given by:
[tex]f' = f * (v_s - v) / (v_s + v)[/tex]
where f is the frequency emitted by the train (219 Hz), v is the speed of the train (34.5 m/s), and v_s is the speed of sound in air (344 m/s).
So, the frequency you hear as the train recedes is:
[tex]f' = 219 * (344 - 34.5) / (344 + 34.5) = 219 * 309.5 / 378.5 = 185.2 Hz[/tex]
Therefore, as the train approaches you, you hear a frequency of 255.3 Hz and as it recedes, you hear a frequency of 185.2 Hz.
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Identify the scenario, where the crash sensor of a car can possibly send signals to inflate the airbag in automobiles.
When a car is stopped abruptly by an impact, the airbags are inflated.
An airbag is an inflatable safety device designed to protect the occupants of a car in case of a collision. The airbags are part of an occupant restraint system and are also referred to as air cushion restraint system. Airbags supplement the basic protection offered by seat belts.
When a car is stopped abruptly by an impact, all bodies or objects that are not firmly fixed to the car will continue to move at the impact speed. The sensors measure this acceleration and relay it to the control unit as usable data.
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A block with shear modulus is bonded to a fixed based and to a horizontal rigid plate to which a force is applied. Assume , and
The shear force in the block is[tex]F = G*ε = 7.10^3*0.0006855 = 488.75[/tex]kips.
What is shear force?Shear force is a type of mechanical force that can cause an object to deform or break apart when the force is applied parallel to the object's surface.
The shear modulus, G, is a measure of the rigidity of a solid material and is expressed in units of kips per square inch (ksi).
In this case, we are given that G = 7.10^3 ksi.
To calculate the shear force, F,
in the block, we can use the equation F = P(L/2)/(b*t).
Here, P is the applied force (630 kips),
L is the length of the block (15 inches), b is the width of the block (8 inches), and t is the thickness of the block (2 inches).
Plugging in these values, we get[tex]F = 630(15/2)/(8*2) = 488.75[/tex]kips.
Since the block is bonded to a fixed base and a horizontal plate, the shear force in the block will be equal to the shear modulus, G, multiplied by the strain, ε.
The strain is calculated using the formula ε = F/Gt, where F is the shear force calculated above and G is the shear modulus (7.10^3 ksi). Plugging in the values, we get[tex]ε = 488.75/7.10^3*2 = 0.0006855[/tex]
Therefore, the shear force in the block is [tex]F = G*ε = 7.10^3*0.0006855 = 488.75[/tex]kips.
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Complete Question:
the resistance of water to the motion of a 500 lb speedboats and v in feet per seco\eaches 60 mph. determine the time required for the boat to slow to 10 mph.
The time required can be found to be approximately 68.7 seconds.
The time required for the boat to slow down from 60 mph to 10 mph can be determined using the equation for the force of resistance, which is given by:
f = 0.20v
The force of resistance is proportional to the velocity of the boat, and acts in the opposite direction to the velocity. The net force on the boat is equal to the sum of the resistive force and the force of gravity, which acts downward.
The equation of motion for the boat can be written as:
m dv/dt = -f
where m is the mass of the boat, v is the velocity of the boat, and t is time.
dv/dt = -f/m = -0.20v/m
Δv = v₂ - v₁ = -t ∫v/m dv = -0.20t ∫v² dv
t = Δv / (-0.20v₂²) = (v₁² - v₂²) / (0.20v₂²)
The time required can be found to be approximately 68.7 seconds.
This equation can be solved for the time required for the boat to slow down from 60 mph to 10 mph. However, this requires numerical methods, such as the Euler method or the Runge-Kutta method. A rough estimate can be obtained by assuming that the boat slows down at a constant rate, and that the time required is proportional to the change in velocity.
The initial velocity is 60 mph = 88 ft/s and the final velocity is 10 mph = 14.7 ft/s. The mass of the boat is 500 lb = 226.8 kg.
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The resistance of water to the motion of a 500 lb speedboat is given by f=0.20v, where f is expressed in pounds and v in feet per second. The boats engine is turned off when it reaches 60 mph. Determine the time required for the boat to slow to 10 mph.
Saturn takes 29.5 Earth-years to revolve around the Sun. In one century (100 years), both Saturn and Earth will complete several revolutions of the Sun. Which of the following correctly compares the number of revolutions that the two planets will complete?
Earth will complete 29.5 times as many orbits as Saturn.
What is Revolutionary pathway?A revolution is a fundamental and comparatively quick change in political power and political organization that happens when the populace rebels against the government, usually because they perceive political, social, or economic oppression or political incompetence.
Revolutions have taken place throughout human history, and they can differ greatly in terms of their tactics, length, and underlying ideologies.
Early research on revolutions focused mostly on psychological analyses of historical events in Europe, but more recent studies have taken into account global events and incorporated viewpoints from a variety of social sciences, including sociology and political science.
Therefore, Earth will complete 29.5 times as many orbits as Saturn.
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if the rock takes 0.34 s to cross the 2.2- m -high glass door, from what height above the top of the door was it dropped? express your answer to two significant figures and include the appropriate units.
The rock was dropped from a height of 2.2 m above the top of the door.
What is rock?Rock is a natural and solid material made up of minerals and other substances. It is typically found in mountainous areas, deserts, and other areas where the Earth's crust is exposed. It is composed of different minerals which give it its hardness and durability. Rock is used in numerous construction projects and other applications. It provides a strong foundation for structures and is used in construction, landscaping, and even in art.
The equation used to solve this problem is s = vt, where s is the distance, v is the velocity, and t is the time.
The velocity of the rock is found by rearranging the equation to v = s/t, so v = 2.2 m / 0.34 s = 6.47 m/s.
The initial height of the rock is found by rearranging the equation to s = vt to s = 6.47 m/s * 0.34 s = 2.2 m.
Therefore, the rock was dropped from a height of 2.2 m above the top of the door. Expressed to two significant figures, this is 2.2 m.
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a cannon of mass 100 kg initially at rest on a horizontal surface fires a 1-kg projectile at a velocity of 50 m/s. if the projectile is fired horizontally, what is the speed of the cannon immediately after firing the projectile?
If the rounds are fired at a velocity, the gun is to project out to 400 million horizontally. The cannonball exits the gun with a speed when shot horizontally.
How fast is that?Velocity is the pace and path of an object's movement, whereas speed is the timekeeping at which an object is travelling along a path. In other words, velocity is a vector, whereas velocity is a scalar value. the speed at which an object's location changes in any direction Since speed simply has a direction and no magnitude, it is a scalar quantity.
Describe the magnitude?Magnitude is simply defined in physics.
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A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.2 m/s. The cliff is h = 49.5 m above a body of water.Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: vix, g and t.)
Assuming the stone is thrown horizontally, its initial horizontal velocity [tex](vix)[/tex] is constant and equal to the throwing speed [tex](vi = vix)[/tex]. However, its vertical velocity[tex](viy)[/tex] is zero at the start, and it will be affected by the force of gravity, which accelerates it downwards at a rate of g = [tex]9.81 m/s^2[/tex]. Therefore, the equations for the position of the stone as a function of time (t) are:
Horizontal position:
[tex]x = vix * t[/tex]
Vertical position:
[tex]y = h + viy * t - (1/2) * g * t^2[/tex]
Since [tex]viy = 0[/tex], we can simplify the vertical position equation to:
[tex]y = h - (1/2) * g * t^2[/tex]
So the complete set of symbolic equations for the position of the stone as a function of time are:
[tex]x = vix * t[/tex]
Therefore, the position of the stone as a function of time can be expressed by the equations:
[tex]x = 18.2 * t[/tex]
[tex]y = 49.5 - (1/2) * 9.81 * t^2[/tex]
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how do i find the final displacement of a question that has the (vi, a, t) but no xf and we are looking for the vf
In order to find the final velocity (vf) of a particle given its initial velocity (vi), acceleration (a), and time (t), you can use the following equation
vf = vi + a * tAfter calculating for vf, you can find the final displacement (xf) using the following equation :
xf = vi * t + 0.5 * a * t^2What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign
In the above equation, 0.5 * a * t^2 represents the change in position due to acceleration and t represents the time over which this change occurs.
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A satellite is staged on a rocket and has a height of 110m and a mass of 1,200 kg. What is the GPE (gravitational potential energy) of the satellite before it is launched? ( g=9.8m/s^2)
The formula for gravitational potential energy (GPE) is GPE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object.
Substituting the values for the satellite, we get:
GPE = 1,200 kg × 9.8 m/[tex]s^{2}[/tex] × 110 m = 132,160 kg[tex]m^{2} /s^{2}[/tex]
So, the GPE of the satellite before it is launched is 132,160 kg[tex]m^{2} /s^{2}[/tex].
What is gravitational potential energy?The energy that an item stores as a result of its position in relation to another enormous object, such as the Earth, is known as gravitational potential energy. The mass, separation between the two items, and the gravitational force between them are all factors that affect an object's potential energy. When an object is lifted higher, its potential energy rises since an object at rest on the ground has zero potential energy. The potential energy of the object is transformed into kinetic energy, or the energy of motion when it is dropped. Gravitational potential energy, in its simplest form, is a measurement of the energy that a body holds as a result of its location inside a gravitational field.
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the staples inside a stapler are kept in place by a spring with a relaxed length of 0.115 m. if the spring constant is 51.0 n/m, how much elastic potential energy is stored in the spring when its length is 0.150 m?
When the spring is 0.150 m long, it will have "0.312 J" of stored potential energy.
What is a spring's Hooke's Law constant?F = -kx. It gauges the stiffness of the spring. When a spring is stretched or compressed to a length that deviates by an amount x from its equilibrium length, it applies a force F = -kx in the direction of its equilibrium position.
According to the question.
Length, L = 0.115 m
Spring constant, k = 51.0 N/m
Now,
P.Eelastic = 1/2 kx²
P.Eelastic = 1/2 × (0.150 - 0,150)²
P.Eelastic = 0.01225 × 51 /2
P.Eelastic = 0,312J.
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The original pressure of a gas was 2.5 atmospheres. When the pressure was decreased to 1.7 atmospheres, the volume increased to 850 mL. What was the original volume? Make sure that you show your work and use the proper units.
Taking into account the Boyle's law, the original pressure of a gas was 2.5 atmospheres and the original volume was 578 mL.
Boyle's lawBoyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. This is because when the volume decreases, the distance that the particles have to travel is less and therefore more shocks occur in each unit of time, that is, the pressure increases.
Mathematically, if the amount of gas and the temperature remain constant, the product of the pressure and the volume always has the same value:
P×V= k
where:
P is the pressure.V is the volume.k is a constant.Being an initial state 1 and a final state 2, it is fulfilled:
P₁×V₁= P₂×V₂
Original volumeIn this case, you know:
P₁= 2.5 atmV₁= ?P₂= 1.7 atmV₂= 850 mLReplacing in Boyle's law:
2.5 atm ×V₁= 1.7 atm ×850 mL
Solving:
V₁= (1.7 atm ×850 mL)÷ 2.5 atm
V₁= 578 mL
The original volume was 578 mL.
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ad2 cannot measure the current directly. based on your observation, how does ad2 impedance analyzer produce the values for the current and resistors?
The term "ad2 impedance analyzer" is not totally clear as to what system or procedure is being discussed. To determine the current, the gadget might, for instance, monitor the voltage across a specified resistance and then apply Ohm's Law (V = IR).
The term "ad2 impedance analyzer" is not totally clear as to what system or procedure is being discussed. However, in general, a device may utilise various techniques to inversely calculate the current or the properties associated with it if it is unable to directly measure current. To determine the current, the gadget might, for instance, monitor the voltage across a specified resistance and then apply Ohm's Law (V = IR). Alternately, the device might employ a differential measuring method, in which case it monitors the voltage difference between two places and then determines the current using the resistance between those two points as a reference. In the end, a device's design and intended function will determine the precise mechanism it employs.
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two point charges exert a 2.50 n force on each other. what will the force (in n) become if the distance between them is increased by a factor of 4?
If the 2 point charges exert a 2.50 N force on each other , and if distance between them is increased by a factor of 4 , then the Force is 0.15625 N.
The Force between two point charges is calculated by Coulomb's law ; that is represented as ⇒ F = k×(q₁×q₂)/r² ;
where F is = force, k is = Coulomb constant (8.99 × 10⁹ N×m²/C²),
q₁ and q₂ are the magnitudes of the two charges, and r is = distance between them.
If the distance between the charges is increased by a factor of 4, then r will become 4 times larger.
So, force will decrease by a factor of 4² = 16 ;
The new force(F') will be F' = k×(q₁ × q₂)/(4r)²
= k × (q₁ × q₂)/16r²
= F/16
So, if the original force was 2.50 N, the new force will become 2.50/16 = 0.15625 N.
The given question is incomplete , the complete question is
Two point charges exert a 2.50 N force on each other. What will the force (in N) become if the distance between them is increased by a factor of 4 ?
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Rank the total kinetic energy of the two balls are trave
If two balls have the same speed, which has more kinetic energy. The body that has more mass will have more kinetic energy.
According to the equation of kinetic energy
K = 1/2(MV*2)
The body that has more mass will have more kinetic energy.
Kinetic energy is a form of energy that an object possesses due to its motion. It is defined as the energy an object possesses as a result of its velocity or speed. The faster an object moves, the greater its kinetic energy. Kinetic energy is a scalar quantity, meaning it has only magnitude and no direction.
The formula for calculating the kinetic energy of an object is KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity or speed of the object. Kinetic energy is measured in joules (J).
Kinetic energy is important in physics because it helps us understand how energy is transferred between objects. For example, when a moving object collides with another object, some of the kinetic energy of the moving object is transferred to the other object, which may cause it to move or change shape.
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Complete Question:
What if two balls have the same speed, which has more kinetic energy?
200g of water at 90 degree celsius is mixed with 100g of water at 30 degree celsius. What is the temperature
The resulting temperature of the mixture is 70 ⁰C.
What is the resulting temperature?
The resulting temperature of the mixture is calculated by applying law of conservation of energy.
Heat lost by the hot water = Heat gained by the cold water
(200 g x 4.2 J/gK) ( 90 - T ) = ( 100 g x 4.2 J/gK ) ( T - 30 )
(200 g) ( 90 - T ) = ( 100 g) ( T - 30 )
18,000 - 200T = 100T - 3000
300T = 21,000
T = 21,000 / 300
T = 70 ⁰C
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a stone is dropped from a height of 4.9 m . find the time taken to cover this distance
Answer:
1.0 sec
Explanation:
Assuming the stone starts at rest (V₀ = 0) and drops in free fall straight down vertically:
Δx = V₀t + 1/2at²
4.9 m = 0 + 1/2(9.8 m/s²)t²
t² = 2(4.9 m) / (9.8 m/s²)
t² = 1 s²
t = √1 s² = 1 s
A runner dashes 248 m in a direction due North from the starting line (x; = 0 m). She then
turns around and runs due South back toward the starting line 97 m.
If both legs of this run take a total of 130 seconds, to the nearest tenth of a m/s, what is her
average velocity?
K
Her average velocity is 2.65 m/s to the nearest tenth of a m/s.
What is average velocity?The measure of average velocity is a vector. Average velocity is calculated by dividing the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the direction of the displacement, the average velocity may be positive or negative. Meters per second (m/s or ms-1) is the SI unit for average speed.
Only the object's displacement is considered when calculating average velocity. However, the displacement's size might differ from the actual path's length. For this reason, we use average speed to describe the rate of motion along a path.
Average speed is calculated by dividing the total distance travelled by the total motion time. The average speed is a scalar quantity, in contrast to the average velocity.
Given distance: 248
and = 345 m
Time for both= 130 s
We know that average velocity = Distance + Distance / time
Therefore,
Average velocity = (248 + 97) / (130)
Average velocity = 69/26
Average velocity = 2.65 m/s
Thus, her average velocity is 2.65 m/s to the nearest tenth of a m/s.
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A soda bottle (m = 0. 1 kg) filled with a flammable vapor is ignited and a rubber
stopper (m = 0. 01 kg) is fired across the room at 100 m/s. Find the recoil velocity
of the soda bottle
A soda bottle (m = 0. 1 kg) filled with a flammable vapor is ignited and a rubber stopper (m = 0. 01 kg) is fired across the room at 100 m/s. Find the recoil velocity of the soda bottle [Assume: v1 = 10 m/s]. The recoil velocity of the soda bottle is 1.1 m/s.
To find the recoil velocity of the soda bottle, you need to conserve momentum.
Let's call the initial velocity of the soda bottle v1 and the final velocity of the soda bottle v2. The momentum of the soda bottle and the rubber stopper before they are fired is equal to m1 * v1, and the momentum of the soda bottle after the rubber stopper is fired is equal to m2 * v2.
Conserving momentum, we have:
m1 * v1 = m1 * v2 + m2 * 100
where,
m1 = the total mass of the soda bottle and rubber stopper
m2 = the mass of the rubber stopper.
Solving for v2, the recoil velocity of the soda bottle:
v2 = (m1 * v1 - m2 * 100) / m1
Substituting the given values:
v2 = (0.1 kg + 0.01 kg) * v1 - 0.01 kg * 100 m/s / (0.1 kg + 0.01 kg)
v2 = (0.11 kg) * v1 - 1 m/s
v2 = (0.11 kg) * 10 m/s - 1 m/s
v2 = 1.1 m/s
So, the recoil velocity of the soda bottle is 1.1 m/s.
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