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A 0.48-kg object connected to a light spring with a force constant of 20.0 N/m o

ID: 2140786 • Letter: A

Question

A 0.48-kg object connected to a light spring with a force constant of 20.0 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest.


(a) Determine the maximum speed of the object.
=?m/s

(b) Determine the speed of the object when the spring is compressed 1.5 cm.
=?m/s

(c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position.
=?m/s

(d) For what value of x does the speed equal one-half the maximum speed?
=?m

Explanation / Answer

a) 1/2kx^2 = 1/2 mv^2 v = sqrt(20*0.04^2/0.48) = 0.2582 m/s