A 0.53-kg object connected to a light spring with a force constant of 20.6 N/m o

Question

A 0.53-kg object connected to a light spring with a force constant of 20.6 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)0.5kx^2=0.5mv^2

v=(k/m)x=(20.6/0.53)*4*10^-2=0.1321m/s

b)v=(k/m)(x^2-x1^2)=(20.6/0.53)*(4^2-1.5^2)10^-2=0.23m/s

c)

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