Question

A spring (k = 20 N/m) sits on a frictionless surface. The spring is compressed 20 cm and a 2 kg mass is placed before the spring and released from rest. How much time passes between the time that the mass is at the point x = 0 m and x = 2.0 m? A.) 4.34s B.) 1.42s C.) 2.48s D.)0.23s E.)none of the above

Answer 1

E.)none of the above

Step-by-step explanation:

Elastic energy = kinetic energy

½ kx² = ½ mv²

v = x √(k / m)

v = 0.2 m √(20 N/m / 2 kg)

v = 0.632 m/s

Time to travel 2.0 m:

t = (2.0 m) / (0.632 m/s)

t = 3.16 s