A0.40 kg object is attached to a spring with force constant 157 n/m so that the object is allowed to move on a horizontal frictionless surface. the object is released from rest when the spring is compressed 0.17 m.
(a) find the force on the object.
(b) find its acceleration at that instant.

Part a)

Part b)

Explanation:

Part a)

Force on the object due to spring force is given as

here we know that

so we have

Part b)

Acceleration of the object is given as

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initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft