An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?

A mass on a spring rests on a horizontal frictionless surface. You displace it 8.00 cm 2) from equilibrium and release it from rest. Where does it reach its maximum speed? If the maximum speed is 1.25 m/s, where is the mass when it is moving at 0.75 m/s?

A vertical spring with a spring constant of 360 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.30 kg block is dropped from rest. It collides with and sticks to the spring, which is compressed by 3.0 cm in bringing the block to a momentary halt. Assuming air resistance is negligible, from what height (in cm) above the compressed spring was the block dropped? cm

A 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104 N/m. When the child makes a nice big bounce, she finds that at the bottom of the bounce she is accelerating upward at 9.8 m/s2. How much is the spring compressed?

The spring of a spring gun has force constant k = 435 N/m and negligible mass. The spring is compressed 6.8 cm, and a ball with mass 23 g is placed in the horizontal barrel against the compressed spring. The spring is then released, and the ball is propelled out the barrel of the gun. The barrel is 6.8 cm long, so the ball leaves the barrel at the same point that it loses contact with the spring. The gun is held so the barrel is horizontal.  What is the greatest speed the ball has along the barrel if a constant resisting force of 6.7 N acts on the ball as it moves along the barrel? (Your result must be in units of m/s and include 2 digits after the decimal point. Maximum of 3% of error is accepted in your answer.)

A toy cannon uses a spring to project a 5.22-g soft rubber ball. The spring is originally compressed by 4.93 cm and has a force constant of 7.98 N/m. When the cannon is fired, the ball moves 14.4 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 6 N on the ball. a) With what speed does the projectile leave the barrel of the cannon? (in m/s) b) At what point does the ball have maximum speed? (in cm) c) What is this maximum speed? (in m/s)

A spring with force constant k = 100 N/m has two masses hanging from it, as drawn (M = 1 kg) (Figure 1). Without the masses, the free end of the spring (point A) is at an equilibrium distance of 10 cm below its support point. Figure A 3+3 C 1 of 1

Block A (mass = 5.00 kg) is attached to a spring. Initially the spring is in its equilibrium position. Block A is also attached by a rope to Block B (mass 2.00 kg) which hangs over the edge of a table. The table has a coefficient of kinetic friction of .300. When the masses are released from rest, Block B falls a distance of 1.50 m before coming to rest and remaining suspended above the ground. What is the spring constant of the spring?

A 1.40-kg block is pushed against a vertical wall by means of a spring (k = 810 N/m). The coefficient of static friction between the block and the wall is 0.32. What is the minimum compression in the spring to prevent the block from slipping down?

k m A block of mass m = 5.20 kg is being suspended at rest by an extended spring of spring constant k = 36.0 N/m and an external force F = 20.0 N downward. The spring is attached to the ceiling and has an extended length of s = 2.45 m. What is the relaxed length so of the spring?