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A 0.49-kg object connected to a lightspring with a force constant of 23.2N/m osc

ID: 1676002 • Letter: A

Question

A 0.49-kg object connected to a lightspring with a force constant of 23.2N/m oscillates on a frictionless horizontal surface. The spring iscompressed 4.0 cm and released from rest. (a) Determine the maximum speed of theobject.
1 cm/s

(b) Determine the speed of the object when the spring is compressed1.5 cm.
2 cm/s

(c) Determine the speed of the object when the spring is stretched1.5 cm.
3 cm/s

(d) For what value of x does the speed equal one-half themaximum speed?
4 cm (a) Determine the maximum speed of theobject.
1 cm/s

(b) Determine the speed of the object when the spring is compressed1.5 cm.
2 cm/s

(c) Determine the speed of the object when the spring is stretched1.5 cm.
3 cm/s

(d) For what value of x does the speed equal one-half themaximum speed?
4 cm

Explanation / Answer

Mass m = 0.49 kg

Force constant k = 23.2 N / m

Maximum Compression A = 4 cm

(a).Maximum speed v = Aw

Where w = angular frequency = [ k / m]