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A bat strikes a $0.145-\mathrm{kg}$ baseball. Just before impact, the ball is traveling horizontally to the right at 50.0 $\mathrm{m} / \mathrm{s}$ , and it leaves the bat traveling to the left at an angle of $30^{\circ}$ above horizontal with a speed of 65.0 $\mathrm{m} / \mathrm{s}$ . If the ball and bat are in contact for 1.75 $\mathrm{ms}$ , find the horizontal and vertical components of the average force on the ball.

(a) $4.71 \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$

(b) $2690 \mathrm{N}$

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Cornell University

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

{'transcript': "well. We have the most of the best ball. The mass of the best ball is equal to most of the best. Ball is equal to 0.145 kilogram. Well, its velocity before then backed is 50 meters per second. So velocity is equal to we want is equal to 50.0 meter for a second to the right. Well, it's were lost after after the impact is V two and we two is equal to 65. Find zero meters per second and the angle is 30. Find zero degrees about the horizontal and the contact time between the ball and bed is 1.75 milliseconds. So time is equal to 1.75 milli second. Well, we know that momentum is given by mass times velocity. Well, let's go on the secret in number one, and we also know that eight total force is equal to I'll be to minus B one divided by Delta T. Let's call this secretive number two Uh, no Redux part is Ah, let's do part and right. Well, we take the right is positive axe direction and the upward is positive. My direction. Well, first we ride the initial and finding the lost in the unit factor. Uh, so we won in. The factor for me is equal to 50.0 in the I can't direction and V two is equal to minus 65.0 time school sign of 30 degrees. Uh, in the I kept direction less 65.0 times. Sign off 30 degrees in the J cap direction. So we to is equal to ah, minus 56 point free. I cap. Let's 32.5 j cap. Ah, bless 32 0.5 j cap. Now let's find out P one well, be one is equal to 0.1 for five times 50. Find zero I can't. So that's equal to 7.25 ICAPP and up. B two is equal to 0.145 times. Ah, minus 56.3 icapp plus 32.5 32.5 j cap. So p two is equal to not be too is equal to minus 8.16 Uh, I cap less 4.71 Jake app. Right? And for her, we find out the total force so the force is equal to minus 8.16 I camp. It was 4.71 Jane Cap Sweets and Jean Cap minus 7.25 I can't divided by divided by 1.75 time. Stand to the dollar minus three. So of force F is equal Do minus it it. 07 Camp artless 2692 0.9 Jane Cap So F acts will X company into force is equal to 8807 to the left, nights to the left right and also we have it fly Well, If y is equal, do do 692.9. But that is in upward direction. Nannies upward."}