A baseball (m = 0.18 kg) has an initial velocity of v=-35 m/s as it approaches a bat. We have chosen the direction of approach as the negative direction. The bat applies an average force F that is much larger than the weight of the ball, and the ball departs from the bat with a final velocity of v=58 m/s.   Determine the impulse applied to the ball by the bat.

A railroad car having a mass of 15000 kg is coasting at 1.5 m/s on a horizontal track. At the same time another car having a mass of 12000 kg is coasting at 0.75 m/s in the opposite direction. If the cars meet and couple together, determine the speed of both cars just after the coupling.

During an Olympic 100-m sprint race, Usain Bolt, the world record holder in that race, quickly accelerates to his top speed of 12.4 m/s. Analysis of his technique has shown that each of his feet make contact with the ground for 0.0800 s, exerting a force of magnitude 2.80 x 10° N during this contact. This allows the 94.0 kg Bolt to leap forward and remain airborne for 0.120 s until the next foot touches the ground. (Ignore air resistance.) (a) What are the magnitudes of the horizontal and vertical components of the force (in N) Bolt's feet exert on the ground? (Round your answers to at least three significant figures.) horizontal N vertical (b) Assuming that the sprinter accelerates at a constant rate while his feet are in contact with the ground and does not slow down when he is airborne, by what amount does Bolt's horizontal speed (in m/s) increase with each step? (Round your answer to at least three significant figures.) m/s (c) Assuming that the sprinter's speed increases at a…

Box A is traveling down the smooth incline (0= 17°) and it hits box B, initially at rest, with the velocity of 5 m. Immediately after impact, box A moves up the incline with the velocity of 1 m. Determine the velocity of box B (in m) immediately after impact. Consider ma = 3 kg and mB = 18 kg. The positive direction is shown on the figure. VA В

A block with mass 0.400 kg is on a horizontal frictionless surface and is attached to a horizontal compressed spring that has force constant k=200N/m The other end of the spring is attached to a wall. The block is released, and it moves back and forth on the end of the spring. During this motion the block has speed 3.00 m/s when the spring is stretched 0.160 m. During the block's motion, what is the maximum distance the spring is compressed from its equilibrium position? When the spring has its maximum compression, what is the speed of the block and what is the magnitude of the acceleration of the block?

Small steel balls fall from rest through the opening at A at the steady rate of 3 per second. Find the vertical separation h of two consecutive balls when the lower one has dropped 2.1 meters. Neglect air resistance. Answer: h= i 3

If A is stationary and B has a velocity of 15 m/s just before collision, and the blocks couple together after impact, determine the maximum compression of the spring. Express your answer to three significant figures and include the appropriate units.