The block in the figure below lies on a horizontal frictionless surface and is a

Question

The block in the figure below lies on a horizontal frictionless surface and is attached to the free end of the spring, with a spring constant of 53 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 3.3 N pulls the block in the positive direction of the x axis, stretching the spring until the block stops. Assume that the stopping point is reached.

(a) What is the position of the block?
m

(b) What is the work that has been done on the block by the applied force?
J

(c) What is the work that has been done on the block by the spring force?
J

During the block's displacement, find the following values.

(d) The block's position when its kinetic energy is maximum.
m

(e) The value of that maximum kinetic energy.
mJ

Explanation / Answer

part a)

position of the block x=F/k=3.3/53 =0.0622 m

part b)

W=F.x=3.3*0.0622 J

part c)

Ws=-W

part d)

KE is maximum at x=0

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