3.75 m/s 4.75 L. m/s 27.5
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A 375 gram basketball is bounced off of a wooden board, as shown below. It is moving straight down at a speed of 4.75 m/s just before hitting the board, and it is moving with a speed of 3.75 m/s at an angle of 27.5 degrees above the horizontal just after. The ball is in contact with the board for a total of 68.5 milliseconds (ms).
A)Find the average force that the board exerts on the ball during the bounce. Give the magnitude of the force in units of Newtons. Give the direction of the force as an angle from the x-axis, in degrees.
B) How much kinetic energy is lost as a result of the ball hitting the board? Give your answer in Joule
Given values,
Mass of basketball,
time of contact,
Before collision:
velocity in y-direction,
velocity in x-direction,
After collision:
velocity in x-direction,
velocity in y-direction,
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Solved in 8 steps
- A 59.5 kg man standing on a frictionless surface pushes two large boxes in opposite directions as shown. Initially everything is a rest. If the left box has mass 41.5 kg and final speed 3.25 m/s, and the right box has mass 27.0 kg and final speed 2.00 m/s, what is the final velocity (magnitude and direction) of the man? Let the positive direction be to the right.A tennis ball of mass 0.0646 kg is served. It strikes the ground with a velocity of 52.4 m/s (117 mi/h) at an angle of 21.3° below the horizontal. Just after the bounce it is moving at 48.4 m/s at an angle of 17.9° above the horizontal. If the interaction with the ground lasts 0.0712 s, what average force did the ground exert on the ball?A baseball (m= 150 g) approaches a bat horizontally at a speed of 43.9 m/s (98.2 mi/h) and is hit straight back at a speed of 52.6 m/s (118 mi/h). If the ball is in contact with the bat for a time of 1.27 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, since it is so much less than the force of the bat. Choose the direction of the incoming ball as the positive direction. Number i Units VO Vf
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- A man claims that he can hold onto a 13.0-kg child in a head-on collision as long as he has his seat belt on. Consider this man in a collision in which he is in one of two identical cars each traveling toward the other at 50.0 mi/h relative to the ground. The car in which he rides is brought to rest in 0.07 s. (a) Find the magnitude of the average force needed to hold onto the child. N (b) Based on your result to part (a), is the man's claim valid? O This man's claim is nonsense. O This man's claim is legitimate.A baseball (m = 148 g) approaches a bat horizontally at a speed of 40.7 m/s (91.1 mi/h) and is hit straight back at a speed of 51.6 m/s (115 mi/h). If the ball is in contact with the bat for a time of 1.45 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, since it is so much less than the force of the bat. Choose the direction of the incoming ball as the positive direction.