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

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