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Human biomechanics. The fastest pitched baseball was measured at 46 $\mathrm{m} / \mathrm{s}$ . Typically, a baseball has a mass of 145 $\mathrm{g}$ . If the pitcher exerted his force (assumed to be horizontal and constant) over a distance of $1.0 \mathrm{m},(\mathrm{a})$ what force did he produce on the ball during this record-setting pitch? (b) Make free-body diagrams of the ball during the pitch and just after it has left the pitcher's hand.
153 $\mathrm{N}$click for diagrams and solutions
Physics 101 Mechanics
Chapter 4
Newton's Laws of Motion
Physics Basics
Motion Along a Straight Line
Motion in 2d or 3d
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All right, so we have Max final velocity, our highest velocity reached. Let's call out the final velocity 46 meters per second. We have a distance of one meters and a mass of 0.145 kilograms. So report A. We need force and the force we need. Acceleration and acceleration can be found from dis equation of motion. Here the square clothes be not squared The initial velocity twice the acceleration times Now the distance and some acceleration is just V squared. But his B not squared over two packs. And so that's 46 meters per second pulse clan over two times one leader. And this gives us 1,000 58 meters per second squared and so force. We can find that for a little second law, which is mass times acceleration Mass is 0.145 Graham's times acceleration is 1,058 meters per second squared, and so that gives those 153 minutes before us. Okay, And now for the free body Diagrams park in Part B. During so during contact of ball and pitcher's arm, you obviously have the force of gravity. The weight of the ball governments and you have a second call is onto me. That's the force. We calculated part. And so that's F But you also have an upward for us. This is because this is the normal force exerted by the hand on the ball. So that's empty of three forces and took. Ah, after the ball has been thrown, all you have left is the force of gravity. So wait is all you have because you no longer have the horizontal forest with normal course. Uh, because the hand is no longer touching the ball. That's it.
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