A 0.6 kg block of ice is sliding by you on a very slippery floor at 2.5 m/s. As it goes by, you give it a kick perpendicular to its path. Your foot is in contact with the ice block for 0.0035 seconds. The block eventually slides at an angle of 22 degrees from its original direction.
What is the unit vector in the direction of the block's momentum after the kick?
What is the x-component of the block's momentum after the kick?
Remember that = ||. What is the magnitude of the block's momentum after the kick?
Use your answers to the preceding questions to find the z-component of the block's momentum after the kick (drawing a diagram is helpful):
What was the magnitude of the average force you applied to the block?
A tennis ball has a mass of 0.057 kg. A professional tennis player hits the ball hard enough to give it a speed of 42 m/s (about 94 miles per hour.) The ball moves toward the left, hits a wall and bounces straight back to the right with almost the same speed (42 m/s). High-speed photography shows that the ball is crushed about d = 2.3 cm at the instant when its speed is momentarily zero, before rebounding.
Making the very rough approximation that the large force that the wall exerts on the ball is approximately constant during contact, determine the approximate magnitude of this force.
What is the average speed of the ball during the period from first contact with the wall to the moment the ball's speed is momentarily zero?
How much time elapses between first contact with the wall, and coming to a stop?
What is the magnitude of the average force exerted by the wall on the ball during contact?
In contrast, what is the magnitude of the gravitational force of the Earth on the ball?
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