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$\bullet$ A 0.420 kg soccer ball is initially moving at 2.00 $\mathrm{m} / \mathrm{s}$ . Asoccer player kicks the ball, exerting a constant 40.0 $\mathrm{N}$ force inthe same direction as the ball's motion. Over what distance must her foot be in contact with the ball to increase the ball's speed to 6.00 $\mathrm{m} / \mathrm{s} ?$

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$s=0.168 \mathrm{m}$

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

Lectures

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

05:21

A soccer ball with mass 0.…

03:12

A soccer ball with mass $0…

01:33

3. (4pts) A soccer ball wi…

01:34

A football with mass $0.47…

03:39

A soccer player takes a co…

03:05

At an instant when a socce…

04:18

After falling from rest fr…

02:33

A student with a mass of $…

So in this problem will be applying the working into princes, work and kinetic energy principle where we know that w net or the network is a whole toe the final kind of big energy minus the initial candidate in a yurt, in other words, to change it kind of energy since the balls motion continues along the ground. So I worked on due to gravity will be zero because we won't have a potential energy because our hide a seam so the world and you know gravity with zero on another assumption that will make is the friction between the ball and the ground is zero so worked on Do the friction will also be serious. And ah, another expression that we know is that network is simply force which is parallel to the displacement times, the displacement. In our case, it will be the force due to the kick, times the displacement if we we know that these toe by the zero, so we don't have to worry about that. But if we get to equated Thies too, we can solve for the displacement from combining these two equations. So let's see how we can do that So What we'll do here is will write athletic ALS f cake times s, which is simply the work done due to the horse F cake on DH. That's equal to change in kinetic energy. So that's what we wrote here. Remember that kind of again? It is half off m d squared and we know that I let her eye corresponds to the initial candidate. Energy and letter F corresponds to the final kinetic energy. So when we write half envy, I squared. That simply means that the initial velocity, which is corresponding to the initial kind of energy and similarly for VFW's it will be corresponding tow the final kind of energy. So if we equated those two equations and salt for s, we get this falling expression where this is detained in panic energy over the force. So we know all the value. So if we plug in those, we get the distance as 16 find eight centimeters. Thank you.

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