?

Free Version
Moderate

# Simple Harmonic Motion: Maximum Speed in a Mass Spring System

APPHMC-14FSKD

One end of an ideal spring is attached to a solid wall. The other end is attached to a solid block which is at rest on the floor.

The block is pulled to the right by $20cm$. Upon release, the block begins to slide back and forth over the frictionless floor in simple harmonic motion, with a period $0.8s$.

What is the maximum speed the block reaches while oscillating?

A

$v_{max}=0.64 \text{ }m/s$

B

$v_{max}=1.0 \text{ }m/s$

C

$v_{max}=1.6\text{ } m/s$

D

The speed cannot be found without knowing both the mass of the block and​ the spring constant of the spring.

E

The speed cannot be found without knowing either the mass of the block or​ the spring constant of the spring.