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 55 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 3.2 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.

I need to find the position of the block after it stops. I used F=kx and solved for x=0.058. But the answer given is 0.116 (or two times my answer). What did I do wrong?

Explanation / Answer

It's a common mistake actually, dont worry You should use the conservation of energy principle howver to solve the problem as it's the more fundamental law 1/2k*x^2=work done by force .5*55*x^2= 3.2 *x =>x=.116m

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