Question

A horizontal block–spring system with the block on a frictionless surface has total mechanical energy E = 45 J and a maximum displacement from equilibrium of 0.23 m.

(c) If the maximum speed of the block is 3.06 m/s, what is its mass?

37.27 kg

61.19 kg

35.49 kg

17.75 kg

(d) What is the speed of the block when its displacement is 0.17 m?

(e) Find the kinetic energy of the block at x = 0.17 m.

(f) Find the potential energy stored in the spring when x = 0.17 m.

(g) Suppose the same system is released from rest at x = 0.23 m on a rough surface so that it loses 15 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?

Spring constant: 1701 N/m
Kinetic Energy at the equilibrium point: 45J

Answer 1