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(II) A 0.145 -kg baseball pitched horizontally at 32.0 $\mathrm{m} / \mathrm{s}$ strikes a bat and is popped straight up to a height of 36.5 $\mathrm{m}$ . If the contact time between bat and ball is 2.5 $\mathrm{ms}$ , calculate the average force between the ball and bat during contact.

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$(1552) {j}]N$

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

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Lectures

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.

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.

05:22

(III) A 0.145-kg baseball …

06:54

01:50

(II) A 0.145 -kg baseball …

08:42

A 0.145 -kg baseball pitch…

16:12

A bat strikes a 0.145-kg b…

02:10

(I) A 0.145-kg baseball pi…

01:11

(I) A 0.145 -kg baseball p…

04:58

A bat strikes a 0.145 -kg …

03:22

A $150-\mathrm{g}$ (weight…

02:20

A 0.145 -kg baseball is pi…

03:20

A batter swings at a baseb…

04:53

Force of a Baseball Swing.…

thing to do here will be to find the y vel the final velocity, which will be an entire entirely wife velocity. So we use energy conservation. Onda, we equate cannot again in TV's of care. Um, uh, to the potential energy groups, potential energy. Uh, he's superior. Um, and so the final kinetic energy will be 1/2 M v y squared because the horizontal gloss of vertical velocity it's equal to mass times gravity, times height to which the ball rises. And so you have very y equals square root of two times two times h. That's two times 9.8 meters per second squared times height, her riches 36.5 meters. So, uh, final Y velocity is 26.75 meters per second. Okay, Now we can calculate the forced and savage forces Just Aah! Delta P rate of change of romantic don't appear of adult TV. That's mass times final velocity minus initial velocity. Uh, over over Delta T. Okay. And so this will be a mass times Delta T is what we know. The F final velocity is v y entirely eyes no x component to it. An initial velocity v, not eyes just colored VX because it just has a V just has the x component to it. Uh, and so, um yeah. So let's go ahead and write that out. Um, average force is equal to mass, which is 0.145 kilograms over, uh, changing times that 2.5 milliseconds. 2.5 times 2.5 2.5 2 to 3 seconds is what that is. Times the difference between the final and initial velocity is now final Velocity V. Why is there so one thing I mentioned here is that velocity is a vector. So this has to be a directional. This has to have a magnitude on the direction. So B y is just 26 uh, 0.75 meters per second in the jihad direction in the wind direction. Okay, you subtract from it. Um, the X and so that's given us 32. But since momentum initially is acting opposite to the bat, it will be negative. 32 meters per second. Uh, in the in the j hot, um, in the, uh, in the I had direction. I mean, um, looks, let's make that clear in the eye, had direction, right? And so you get. Finally, that average force is given by 18 56. Ah Newtons. I had a plus. I had a plus 15 50 to Newton's J Hat. Or you could save 18 80 18 56 I hide plus 15 52 j hat, which is all together in Newton's, and that's a

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