In: Physics
A 0.990 kg block slides on a frictionless, horizontal surface with a speed of 1.40 m/s. The block encounters an unstretched spring with a force constant of 231 N/m. Before the block comes to rest, the spring is compressed by 9.17 cm.
1) Suppose the force constant of the spring is doubled, but the mass and speed of the block remain the same. By what multiplicative factor do you expect the maximum compression of the spring to change? Explain.
2) Find the new maximum compression of the spring.
3) Find the time required for the mass to come to rest after contacting the spring.
4) Refer back to Example 13-12. If the block's initial speed is increased, does the total time the block is in contact with the spring increase, decrease, or stay the same?
5) Find the total time of contact for v0=1.65 m/s, m=0.980 kg, and k=245 N/m.