A 4 kg block is attached to the end of a spring and allowed to stretch to a resting position. The spring stretches 0.08 m longer than its original resting length. The spring and block systemare now laid horizontally with the spring attached to a wall and the block resting on a frictionless 1.33 m high table. The blck is then pushed toward the wall making the spring compress 0.02 m.
a) Calculate the spring constant of the spring.
b) Calculate the amount of force required to compress the spring on the table.
c) Calculate the amoungt of elastic potential energy the spring has while compressed on on the table.
d) The mass is now released and it slides away from the wall due to the compressed tension in the spring. Calculate the veocity of the block as it passes the resting position (natural length) of the spring.
e) Calculate the period of oscillation fro the spring as the mass slides back and forth.
f) As the vlock slides away from the wall, at the moment it reaches its resting position from "d" it collides with a 2.7 kg block at rest. Calculate the velocity of the 2.7 kg block if the 4 kg block slows to a speed of 1 m/s.
g) The 2.7 kg block now slides off the edge of the table. Calculate the time it takes the 2.7 kg block to reach the floor below.
h) How far from the base of the table does the block strike the floor?
i) Calculate the angled velocity of the block as it strikes the floor.