A 1-lb stone is dropped down the "bottomless pit" at Carlsbad Caverns and strikes the ground with a speed of 115 ft/s. Neglecting air resistance, determine the kinetic energy of the stone as it strikes the ground and the height h from which it was dropped. The kinetic energy of the stone is| | ft-lb. The height from which the stone was dropped is ft.

A 105 kg guy runs at 3.25 m/s down the parking lot to catch a cart before it hits his car. The cart seems to gain speed as it rolls in the lot causing the guy to change his velocity to 4.5 m/s over a period of 0.77 seconds. What force did the guy use as he changed his velocity

A robber with a mass of 61.91 kg runs away from his victim at a velocity of 7.911 m/s. A 119.1 kg cop running at 5.032 m/s from the opposite direction collides with and tackles the thief. As the cop is taking down the thief, what is their horizontal velocity?

Firecracker a. A firecracker is at rest on a frictionless horizontal table. The firecracker explodes into two pieces of unequal mass that move in opposite directions on the table. Before i. Is the net force on the left piece always zero? Explain. After I1. Is the net force on the system consisting of both pieces always zero? Explain. iii. Is the momentum of the left piece conserved? Explain. 1V. Is the momentum of the system consisting of both pieces conserved? Explain.

A block with a weight of 5 kg hanging from the ceiling attached to a spring is raised and then pulled downward. As it passes downward through the spring's unstretched position it has a speed of 10 m/s downward. If the spring has a stiffness of 5 N/m, determine the maximum position below the spring's unstretched position achieved by the block.

4) A 1.6-lb collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an unstretched length of 6 in. The collar is released from being held at A, and it passes ponit B with a speed of 16.0 ft/s. Determine the spring constant. The circular rod is kept from moving. C 5.0 in A 8.0 in 2 DO NOT CONVERT TO SI UNITS g = 32.0 ft/s B

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…

6. An elevator has a mass of 4500 kg. and can carry maximum load 1800 kg. If the elevator moves up, it carries the maximum load, at a speed of 3.8 m/s. determine the power required for the elevator to maintain that speed.

What is the maximum velocity attained by the block as it moves up the ramp? Express your answer to three significant figures with appropriate units.

A 0.430-kg soccer ball is kicked at an initial speed of 34.0 m/s at an angle of 35 degrees to the horizontal. What is the kinetic energy at the apex of its trajectory?