The efficiency of the machine is 45%
What is efficiency?Efficiency is a measure of how well a system, process, or machine uses resources to produce outputs compared to the inputs used. It indicates the extent to which time, effort, and resources are used effectively to achieve desired goals and minimize waste. The efficiency of a system can be improved by reducing inputs, increasing outputs, or a combination of both.
The efficiency is;
Output power/ Input power * 100/1
= 9/20 * 100/1
= 45%
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A 5.00-kg ball, moving to the right at a velocity of +2.00 m/s on a frictionless table, collides head-on with a stationary 7.50- kg ball. Find the final velocities of the balls if the collision is (a) elastic and (b) completely inelastic
The velocity of the balls if the collision is perfectly elastic is -0.78 m/s and v₂ = 1.98 m/s.
What is Elastic and inelastic collisions?A state where there is no net loss in the kinetic energy in the system of two objects as the result of the collision is called as an elastic collision.
Inelastic collisions is a type of collision where there is a loss of kinetic energy.
Using the law of conservation of momentum:
m₁u₁ + m₂u₂ = m₁v₁ + m₂ v₂ (u₂ = 0)
5 x 2 = 5v₁ + 7v₂
10 = 5v₁ + 7v₂
v₂ = (10 - 5v₁)/7
Elastic collision so kinetic energy conserved:
1/2 x 5 x (2)² = 1/2 (5v₁² + 7v₂²)
20 = 5v₁² + 7((10 - 5v₁)/7)²
140 = 35v₁² + 5v₁² + 100 - 20v₁
40v₁² - 20v₁ - 40 = 0
v₁ = -0.78 m/s
The first ball is lighter so its velocity will change direction due to collision.
v₁ = -0.78 m/s
10 = 5(-0.78) + 7v₂
v₂ = 1.98 m/s
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What is Plato's definition of knowledge? Also, why might Descartes think that Plato's definition of knowledge is flawed? (To answer this latter question, discuss the two skeptical scenarios that Descartes entertains and why he thinks those scenarios are troublesome for any definition of knowledge).
The answers include the following;
Plato believed that knowledge is attainable, and that knowledge must be infallible and of the real.Descartes think that Plato's definition of knowledge is flawed because it fails to distinguish between justified, true beliefs that count as knowledge, and justified true beliefs that do not count as knowledge.What is Knowledge?This is referred to as the fact or condition of knowing something with familiarity gained through experience or association.
Descartes firmly believed that true knowledge can only be through the methodical application of reason.
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A box with mass M = 27.0 kg rests on a table.
Part A: Determine the weight of the box.
Express your answer to three significant figures and include the appropriate units.
Part B: Determine the normal force exerted on the box by the table if there is nothing on top of it?
Express your answer to three significant figures and include the appropriate units.
Part C: A 10.0- kg box is placed on top of the 27.0- kg box, as shown in the figure. Determine the normal force that the 27.0- kg box exerts on the 10.0- kg box.
Express your answer to three significant figures and include the appropriate units.
Part D: Determine the normal force that the table exerts on the 27.0- kg box.
Express your answer to three significant figures and include the appropriate units.
The forces that are acting are;
a) 270 N
b) - 270 N
c) -100 N
d) -370 N
What is the normal force?
We have to note that the normal force is the force that is exerted by the box on the object as we can see in the question that have been written. We have to note that from the Newton third law, action and reaction are equal and opposite.
a) The weight of the box can be obtained as = W = mg = 27.0 kg * 10 m/s^2
= 270 N
b) The normal force that is exerted on the box by the table is equal to the weight of the box but in the opposite direction thus it is -270 N.
c) The 27 -Kg box would exert a normal force of - 100N on the 10 Kg box
d) The table would now exert a normal force of -(27 + 10) * 10 m/s^2
= -370 N
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What is the length of the path traveled between two points?
The length of the path traveled between two points is called distance.
About distanceDistance physically can refer to several different things, namely:
Distance traveled: the length of a specified path between two points; for example the distance traveled when using a vehicle on the highway. Straight line (Euclid) distance: the length of the shortest path between two points, which can be traveled if there are no obstacles between the two points (generally expressed formally as the Euclidean distance). Geodesic distance: the length of the shortest path between two points, which can be traveled without leaving a surface; for example the length of the great circle along the curvature of the Earth's surface. The length of a given path of an object moving back to its starting point, such as a ball being thrown straight up, or the Earth completing one orbit.Learn more about distance at
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The driver of a car travelling at 65km/h in an easternly direction, steps on the brakes and stops in 4.0s. while braking, the average acceleration of the car in (m/s^2)
A) 16.3 m/s^2 towards the west
B) 4.5 m/s^2 towards the west
C) 4.5 m/s^2 towards the east
D) 16.3 m/s^2 towards the east
The acceleration is 4.5 m/s^2 towards the west. Option B
What is the velocity?We have to in this case use the equation of the motion that have been uniformly accelerated so as to be able to find the acceleration which is the rate of the change of the velocity of the object with time.
Acceleration = Change in the velocity / Time
Initial velocity = 65km/h or 18.1 m/s
Final velocity = 0 m/s
Time taken = 4.0 s
Then we have that;
Acceleration = 0 - 18.1/4
= -4.5 m/s^2
The acceleration of the object is 4.5 m/s^2 towards the west as shown above.
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A skydiver jumps out of a helicopter and falls freely for 9.0 seconds before opening the parachute..
1. What is the the skydivers downward velocity when the parachute opens?
2. How far below the helicopter is the skydiver when the parachute opens?
No system is completely closed off from its surroundings.
Which example represents a system that is almost completely closed?
Responses
a campfire
a filled bathtub
a bowl of soup
a sealed, insulated cooler
The correct answer is a sealed, insulated cooler.
What is a closed system?A closed system is a collection of interconnected parts that form a cohesive whole and prevent matter from entering or leaving its boundaries. However, due to thermodynamic laws, no system is truly closed off from all quantities.
Energy and heat can always enter and exit a system. Therefore, a closed system is often described as one that only allows energy or heat to enter and leave, but not matte.
In conclusion, a closed system is a system that is completely isolated from its environment.
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A hair dryer is rated at 1800 Watts when plugged into a 120 Volt (AC) outlet. What is the Current and Resistance of the dryer?
The electric current flows through the circuit is 15 amp.
The resistance of the circuit is 8 ohm.
What is electric power?The rate at which electrical energy is carried over an electric circuit is known as electric power. The watt, or one joule per second, is the SI unit of power. Watts are subject to the same standard prefixes as other SI units: kilowatts, megawatts, and gigawatts are used.
The electric current flows through the circuit is = (1800 ÷ 120) amp
= 15 amp.
The resistance of the circuit is = (120 ÷ 15) ohm
= 8 ohm.
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3. Samantha spots buried treasure while scuba diving on her Caribbean vacation. If she must
descend to a depth of 40 meters to examine the treasure, what gauge pressure will she read on
her scuba equipment? The density of seawater is 1025 kg/m³. [gauge pressure is another name for
hydrostatic pressure, use P=Dgh (P = pressure (N/m²); D = density (kg/m³); g = gravity = 9.8 m/s²,
and h depth (m)]
When inhaled, air from a regulator, which is a piece of diving equipment, is supplied at atmospheric pressure.
At what pressure can a diver breathe air at a depth of 40 meters? When inhaled, air from a regulator, which is a piece of diving equipment, is supplied at atmospheric pressure.An air pressure of 5 atmospheres (atm) is therefore required for a diver to breathe at a depth of 40 meters.In their summary, Anthony and Mitchell suggest that the optimal gas density should be 5.2 g/L, with a 6.2 g/L absolute maximum.Both of these amounts are equivalent to air diving at 102 and 128 feet above sea level.The hydrostatic pressure, or the force a liquid exerts on an object per unit area, has increased, which is the cause of this.The pressure of the water pressing down on you increases the deeper you go under the water.To learn more about atmospheric pressure refer
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An engineer builds a model of a machine pivot. Instead of the two parts of the pivot directly touching one another, they have ball bearings between them.
As an indication of the amount of friction in the pivot, what should the engineer measure?
Responses
the radius of the ball bearings before the pivot has been used
the radius of the ball bearings before the pivot has been used
the increase in mass of the ball bearings when the pivot rotates
the increase in mass of the ball bearings when the pivot rotates
the temperature increase in the ball bearings when the pivot rotates
the temperature increase in the ball bearings when the pivot rotates
the number of ball bearings remaining after the pivot has been used
the number of ball bearings remaining after the pivot has been used
The engineer should measure the radius of the ball bearings before the pivot has been used.
What is friction? What is dry friction?Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.Given is that an engineer builds a model of a machine pivot. Instead of the two parts of the pivot directly touching one another, they have ball bearings between them.
As an indication of the amount of friction in the pivot, the engineer should measure the radius of the ball bearings before the pivot has been used.
Therefore, the engineer should measure the radius of the ball bearings before the pivot has been used.
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(Reuploaded)
The table below shows the organisms in a prairie ecosystem. It also shows where they get energy from.
Based on the table above, which food chain below is most likely present in the prairie ecosystem?
(A)Badger → pocket gopher → grass → sun
(B)Sun → grass → ground squirrel → coyote
(C)Sun → chicory → grasshopper → meadow frog
(D)Sun → grass → coyote → ground squirrel
The correct food chain possible in a prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.
What is food chain ?Food chain is the flow of energy from one level of source to the other. The prime member in the food chain are plants. Plants are producing energy using photosynthesis.
Only 10 % of energy is transferring to each layer. Remaining are lost to the surroundings. The food chain in each ecosystem is different from the others.
From the given table it is clear among the given choices the possible food chain in the prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.
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Calculate the magnitude of the component at the force perpendicular to the ground.
The component of the force is 260N
What is the component of the force?The components of force are magnitude and direction. It is the effective magnitude of the force that we can see to be acting in a particular direction as we have in the question that is before us here.
We know that the ground would be the vertical axis as it says that it is perpendicular thus we are going to have that;
The component is Fsin∅
That is; 300 sin60
= 260N
Thus the force that is perpendicular is going to have a component of 260 N.
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Missing parts;
The following diagram shows a person exerting a
300.-newton force on the handle of a shovel that
makes an angle of 60. with the horizontal ground.
Determine the magnitude of the component of the
force perpendicular to the ground.
Please solve the question
Answer:
Explanation:
rgfdcfbrdfb
a piece of lithium goes from 65 Celsius to 200 Celsius. What state of matter would we expect it to be in?
The lithium would exist in the liquid state of matter.
What are states of matter?In physics, a state of matter is one of the distinct forms in which matter can exist.
Four states of matter are observable in everyday life : solid, liquid, gas and plasma.
Given is that a piece of lithium goes from 65 °C to 200 °C.
The lithium would exist in the liquid state of matter.
Refer to the table below.
Symbol Name Melting Boiling Density
Point (ºC) Point(ºC) (g/cm3) (at 293 K)
Li Lithium 180.54 1347 0.534
Therefore, the lithium would exist in the liquid state of matter.
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what is the equation for time dilation
Find the duration of time that the stationary observer is measuring. In the formula for the Lorentz factor, = (1 - v2/c2), replace v with the traveling viewer's velocity. The time determined by moving observer is the outcome.
What is an example of time dilation?It is theoretically conceivable for passenger in a quickly vehicle to travel into the future inside a brief amount of their own time because to time dilation. When traveling at high enough speeds, the impact is dramatic. For instance, ten years on Earth could be equivalent to one year of travel.
Time dilation: What is it?The difference here between elapsed times of two occurrences measured by either traveling relative to one another or by being placed away from gravity mass or masses is referred to as time dilation in the theory of relativity.
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(0)
A rocket takes off from Earth's surface, accelerating straight up at 45.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 87.4 kg, including his space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)
The normal force acting on an astronaut of mass 87.4 kg is -3092.56 N.
How to calculate normal force?The normal force acting on an object is equal to its weight minus the gravitational force acting on it. On Earth's surface, the weight of an object can be calculated as: W = m x g
Where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s²).
The weight of the astronaut with a mass of 87.4 kg is:
W = 87.4 kg x 9.8 m/s² = 856.92 N
Since the rocket is accelerating straight up at 45.2 m/s², the gravitational force acting on the astronaut decreases. The net force acting on the astronaut is equal to the normal force.
F = m x a = 87.4 kg * 45.2 m/s² = 3949.48 N
The normal force can be calculated:
N = W - F = 856.92 N - 3949.48 N = -3092.56 N
So the normal force acting on the astronaut is -3092.56 N, directed upward.
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short note on how to measure with Metre rule Micrometre screw gauge Vernier Caliper
Hold the measurement target between the screw gauge's anvil and spindle while applying light pressure. the main size reading of the a circular scale just before zero.
How are a vernier caliper and screw gauge used?Vernier calipers can be used for alike external and internal measurements, while screw gauges can only be used for external measurements. A vernier caliper has a minimum count of 0.001 cm while a screw gauge has a minimum count of 0.01 cm.
What is the purpose of a metre ruler?This metre ruler, commonly known as a metre stick, is used to measure short distances and lengths up with one metre. It is a measuring tool used to determine distances and rule straight lines in engineering drawings, geometry, engineering, printing, and construction.
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a metal ion (x) with a charge of 3+ is attracted to a non metal ion (z) with a compound charge of 4-. which of these formulas represents the resulting compound?
A metal ion (X) with a charge of 3+ is attracted to a non metal ion (Z) with a compound charge of 4-. The formula of resulting compound is X₄Z₃.
What is chemical compound?A chemical compound is a substance made of numerous similar molecules (or molecular entities) joined by chemical bonds and comprising atoms from various chemical elements.
Therefore, a molecule made up of only one type of atom is not a compound. Chemical reactions, which may entail interactions with other molecules, can change a compound into a distinct substance. Atomic bonds may be shattered or new ones created during this process.
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The mathematical relationship between three physical quantities is given by a =
b
If the dimension of b is: iT and the dimension
of cis [L]. Which one of the following choices is the dimension of a?
The dimensional formula of physical quantity a is [L]/[T²]. Hence, option (c) is correct.
What is dimensional formula?The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit.
The relation between physical quantities a, b and c is:
a = b²/c
The dimensional formula of b is = [L]/[T] = [LT⁻¹]
The dimensional formula of c is = [L]
Hence, the dimensional formula of a is = [LT⁻¹]²/[L]
= [L²T⁻²L⁻¹]
= [LT⁻²]
= [L]/[T²]
The dimensional formula of a is [L]/[T²]. Hence, option (c) is correct.
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a tire is rapidly inflated. What type of thermodynamic process is this?
An adiabatic process is a thermodynamic process in which there is no heat transfer from the system to the environment; instead, the heat is maintained constant.
How do you define thermodynamically?Being or having to do with a system of atoms, molecules, colloidal particles, or bigger things that is studied as an isolated group in terms of thermodynamic processes. thermodynamically.
An illustration of thermodynamicsWashing machines, refrigerators, and air conditioners are a few examples of thermodynamic systems. The refrigerant in an air conditioner circulates inside a closed system, changing its pressure at various places to facilitate the transmission of heat.
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An athlete exerts 3000 W of power when he takes 10.2 s to run the race. How much WORK does the athlete do?
(need solution)
Kinetic energy (K.E.) is inversely proportional to the square of an object's velocity and its mass: K.E. = 1/2 m v2. When a mass is measured in kilograms and a speed is measured in meters per second.
The kinetic energy is measured in kilogram-meters squared per second squared.
Where can I find velocity?By dividing the entire distance traveled by the time it took the object to go a certain distance, you may calculate the object's initial velocity. V, d, and t are the three variables that make up the equation V = d/t.
How is kinetic energy calculated mathematically?Kinetic energy (KE) is defined as the product of the mass of an item multiplied by the square of its velocity. Consider this: The kinetic energy of an object with a mass of 10 kilograms (m = 10 kg) travelling at a speed of 5 m/s (v = 5 m/s) is equal to 125 joules, or (1/2 * 10 kg) * 5 m/s2.
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Kindly please tell me the answer to this question...
Following are the answers:
Pressure = [tex]force/area = 1.92 N/0.196 m^2 = 9.79 N/m^2[/tex] or 9.79 PaDensity = Pressure/ (acceleration due to gravity x height) =[tex]9.79 N/m^2 / (9.8 m/s^2 x 0.92 m)[/tex] = 1060 kg/m^3.What is the pressure and density?1. To calculate the pressure exerted by the water column on the surface of the mercury, we can use the formula:
Pressure = force/area
The force is the weight of the water column and the area is the cross-sectional area of the container.
The weight of the water column is given by the mass of the water times the acceleration due to gravity:
mass = density x volume
volume = area x height
So, mass = density x area x height = 1000 kg/m^3 x pi x (0.025 m)^2 x 0.25 m = 0.196 kg
Weight = mass x acceleration due to gravity =[tex]0.196 kg * 9.8 m/s^2[/tex] = 1.92 N
The cross-sectional area of the container is pi x (0.025 m)^2 =[tex]0.196 m^2.[/tex]
So, Pressure = force/area = [tex]1.92 N/0.196 m^2 = 9.79 N/m^2[/tex] or 9.79 Pa
2. To calculate the density of the oil, we can use the formula:
density = mass/volume
Since the height of the oil column is 0.92 m and the cross-sectional area of the container is 0.196 m^2, the volume of the oil column is 0.196 m^2 x 0.92 m = 0.18012 m^3.
We do not know the mass of the oil, but we can calculate it using the pressure exerted by the oil column on the surface of the mercury:
Pressure = force/area = density x acceleration due to gravity x height
So, density = Pressure/ (acceleration due to gravity x height) = 9.79 N/m^2 / (9.8 m/s^2 x 0.92 m) = 1060 kg/m^3.
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Hypothesis of esterfication experiment?
Define the followings terms with manifestation of examples (1) Fluid(1) Viscosity(iii)Drag Force
Q2. Define Fluid Mechanics, Fluid Statistics, And Fluid Kinematics & Fluid Dynamics.
Q3. Find difference between circular motion and rotational motion. Prove that v=wr and a-ar also discuss all the well-known mathematical expression of Torque with theoretical expression
Q 4. What is Projectile motion? Calculate rang, time of flight and maximum height of projectile.
Q5. Discuss Bernoulli's Equation in form of well-known mathematical expression with theoretical expression.
The definition of the terms will be:
(i) Fluid: A fluid is a substance that continuously deforms (flows) under an applied shear stress. Examples of fluids include liquids and gases.
(ii) Viscosity: Viscosity is a measure of a fluid's resistance to flow. It is defined as the ratio of shear stress to the rate of strain in the fluid.
(iii) Drag Force: Drag force is a force acting on a moving object in a fluid that opposes its motion. It is proportional to the velocity squared of the object and the fluid density.
How to explain the terms(i) Fluid Mechanics: Fluid mechanics is the branch of physics that deals with the study of the behavior of fluids at rest and in motion. It covers various topics such as fluid statics, kinematics, and dynamics.
(ii) Fluid Statistics: Fluid statistics deals with the behavior of fluids in terms of the statistical distribution of their properties, such as temperature, pressure, and velocity.
(iii) Fluid Kinematics: Fluid kinematics is the study of fluid motion without considering the forces that cause the motion.
(iv) Fluid Dynamics: Fluid dynamics is the study of fluid motion and the forces that cause the motion. It covers topics such as the conservation of mass, momentum, and energy, and the study of fluid flows, such as laminar and turbulent flows.
(i) Circular Motion: Circular motion is motion in which an object moves along a circular path with a constant speed.
(ii) Rotational Motion: Rotational motion is motion in which an object rotates about a fixed axis.
(iii) v = wr: This equation states that the velocity of a point on a rotating object is equal to the product of its radial distance (r) from the axis of rotation and the angular velocity (w) of the object.
(iv) a = ar: This equation states that the radial acceleration of a point on a rotating object is equal to the product of its radial distance (r) from the axis of rotation and the angular acceleration (a) of the object.
(v) Torque: Torque is the rotational equivalent of force. It is defined as the cross product of the radial distance (r) and the force (F) applied to an object. The mathematical expression of torque is given by τ = r x F, where τ is the torque, r is the radial distance, and F is the force.
Projectile motion is the motion of an object that is projected into the air and then is subject to the force of gravity. To calculate the range (R), time of flight (T), and maximum height (H) of a projectile, the following equations can be used:
R = v0x * T, where v0x is the initial velocity in the x direction and T is the time of flight.
T = 2v0y / g, where v0y is the initial velocity in the y direction and g is the acceleration due to gravity.
H = v0y^2 / (2g), where v0y is the initial velocity in the y direction and g is the acceleration due to gravity.
Bernoulli's equation is a principle that relates pressure and velocity in a fluid system. It states that the pressure of a fluid decreases as its velocity increases. The expression of Bernoulli's equation is given by P + 1/2 ρv^2 + ρgy = constant, where P is the pressure, ρ is the fluid density, v is the fluid velocity, g is the acceleration due to gravity, and y is the height
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convert 70m/s to Km/y
Answer: 70 meters per second = 25550 kilometers per year
70 x 365 (1y) = 25550 (km/y)
A person rides in an elevator.
What is the equal and opposite force for the Earth’s force of gravity pulling down on the person as described by Newton's third law?
A) person's force of gravity pulls up on the elevator
B) person's normal force pushes down on the elevator
C) elevator's floor normal force pushes up on the person
D) person's force of gravity pulls up on the earth
The equal and the opposite force is the person's force of gravity pulls up on the elevator. Option A
What is an elevator?We know that the elevator is the kind of device that can be used when we are going up or down a high rise building. We have to note that the elevator that we talking about will also work based on the law of Newton.
We have to note that for every force there is an equal and an opposite force and the same is true when you are using the elevator to move up or down as we can see here.
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You are pulling your friend on a sled with a constant velocity using a rope held horizontally in the snow. The combined mass of the sled and your friend is [tex]64.0[/tex] kg, and the coefficient of kinetic friction is [tex]0.200[/tex]. Determine the pulling tension on the sled.
The pulling tension on the sled is 125.44 N.
What is the pulling tension on the sled?
The pulling tension on the sled is equal to force of friction acting against the sled since it is moving at a constant velocity.
Mathematically, the formula for the pulling tension is given as;
T = Ff = μmg
where;
μ is the coefficient of frictionm is the total massg is acceleration due to gravityThe pulling tension on the sled is calculated as follows;
T = ( 0.2 ) x ( 64 kg ) x ( 9.8 m/s² )
T = 125.44 N
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how to calculate the magnitude and direction of vector A-vectorB
A-B
Answer:
Let vector C(x,y) be A-B.
Explanation:
Now the direction is given by: tan-1(y/x)
Use the correct angle on the basis in which quadrant the vector C lies.
Magnitude = sqrt(x^2 + y^2)
35 points IM HELP PLEASEEEE
Answer:
Explanation:
rubber ball, glass jar, motor oil, and tree
How does changing the mass affect the gravitational force between objects
when the distance between them is kept constant?
When the mass of objects is changed while the distance between them is kept constant, the gravitational force between them is directly proportional to the mass of the objects.
What do you mean by gravitational force?Gravitational force is a type of force that exists between any two objects that have mass. It is the force of attraction between objects due to their masses and the distance between them. The strength of the gravitational force between two objects depends on their masses and the distance between them.
The gravitational force was first described by Sir Isaac Newton in his law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. This means that the greater the mass of the objects and the closer they are to each other, the stronger the gravitational force between them will be.
This relationship is described by Newton's law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
If the mass of one of the objects is doubled, the gravitational force between them will also double. If the mass of one of the objects is increased by a factor of 10, the gravitational force between them will increase by a factor of 10. Similarly, if the mass of one of the objects is decreased by a factor of 2, the gravitational force between them will decrease by a factor of 2.
In general, the greater the mass of the objects, the greater the gravitational force between them will be. This means that objects with greater mass will exert a stronger gravitational pull on other objects, causing them to be drawn closer together.
It's important to note that the distance between the objects also affects the magnitude of the gravitational force. If the distance between the objects is increased, the gravitational force between them will decrease, and vice versa. However, if the distance is kept constant, as in this case, the gravitational force will be directly proportional to the mass of the objects.
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