A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is to have the actor fall on his back, but a researcher has been hired to investigate the safety of this stunt. When the researcher examines the mattress, she sees that it effectively has a spring constant of 65144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 14.65 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 4.12 m before landing on a spring of force constant 65144 N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance. Based on this crude measurement, is the stunt safe using maximum mass: kg the proposed mattress? O cannot determine O no yes

A large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m. What is the mass of the toy car if compressing the spring 0.055 m (before the toy starts moving) causes it to reach a speed of 0.75 m/s? (Note - the height of the toy does not change.) What equation will be best for calculating this value? Your answer: O mgh, = O mgh, =mv? %3D 0 글씨로=mghy

A block with mass m = 12.4 kg is pressed against a spring with spring constant 1.285E+4 N/m, compressing the spring a distance of 0.115 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 9.29 m), and onto a horizontal surface with friction μk = 0.638. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?

You place the spring vertically with one end on the floor. You then lay a 1.60 kg book on top of the spring and release the book from rest. Find the maximum distance the spring will be compressed.

A toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed by 5.05 cm and has a force constant of 7.95 N/m. When the cannon is fired the ball moves 14.3 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 0 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? 1.41 m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s

A block of mass 2.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 470 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 13°.  a) The block, starting from rest, slides down the ramp a distance 54 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest?  b)  After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring?  c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?

A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is to have the actor fall on his back, but a researcher has been hired to investigate the safety of this stunt. When the researcher examines the mattress, she sees that it effectively has a spring constant of 65144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 14.21 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 3.32 m before landing on a spring of force constant 65144 N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance.   maximum mass:   Is the stunt safe?

To measure the static friction coefficient between a 1.40-kg block and a vertical wall, a spring (k = 770 N/m) is attached to the block, is pushed on the end in a direction perpendicular to the wall until the block does not slip downward (see figure). If the spring is compressed by 0.048 m, what is the coefficient of static friction?

A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.)N/m   i tried 5.00 x 10^5 and i don't think it was correct..

A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k = 1.25×105 N/m. The spring is initially compressed 17.5 centimeters (cm) from equilibrium. Then the block is released, setting it into motion. The block initially slides along a frictionless surface, but then it encounters a 1.50 meter long rough patch where the coefficient of kinetic friction is 0.134. It then slides down a frictionless ramp, which is tilted at an angle of 19.5 degrees and has a length of 2.50 meters. How fast is the block moving when it reaches the bottom of the ramp? Give your answer in meters per second (m/s). Hint: use WNC = ΔK + ΔU.