The only force acting on an object moving along the x-axis is the conservative force given by f(x) = (2.00 n/m)x + (1.00 n/m3)x3. (a) what is the change in potential energy when the object moves from x = 1.00 m to x = 2.00 m? (b) what is the change in kinetic energy when the object moves from x = 1.00 m to x = 2.00 m?

Explanation:

Given

Force

Change in Potential Energy from x=1 to x=2 m is given by

(b)Change in Kinetic Energy

If the Force is conservative in nature then the total change in mechanical energy is zero thus

Thus

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