Question

A 0.55 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 23.0 N/m. Let x be the displacement, where

x = 0

is the equilibrium position and

x > 0

when the spring is stretched. The block is pushed, and the spring compressed, until

x_i = −4.00 cm.

It then is released from rest and undergoes simple harmonic motion.

(a)

What is the block's maximum speed (in m/s) after it is released?

  m/s

(b)

How fast is the block moving (in m/s) when the spring is momentarily compressed by 1.40 cm (that is, when

x = −1.40 cm)?

m/s

(c)

How fast is the block moving (in m/s) whenever the spring is extended by 1.40 cm (that is, when passing through

x = +1.40 cm)?

m/s

(d)

Find the magnitude of the displacement (in cm) at which the block moves with one-half of the maximum speed.

|x| =  cm

Answer 1