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 2.6 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

a) we know, F = kx so, 2.6 = 55*x so, x = 4.7 cm at this point, the net force is 0 but the K.E is not zero ao, it will have some speed ,so it will overshoot this position till the displaceent is twice, so, our answer is 2*4.7 = 9.4 cm

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