Question

work energy theorem explanation

Answer 1

Workdone Under a Constant Force

We have already learnt about the equations of motion earlier and know that,

Here, v is the final velocity of the object; u is the initial velocity of the object; a is the constant acceleration and s is the distance traversed by the object. We can also write this equation as,

We can substitute the values in the equation with the vector quantities, therefore:

If we multiply both sides with m/2, we get:

From Newton’s second law, we know that F=ma, hence:

Now, we already know that W= F.d and, K.E. = (mv²)/2,
So, the above equation may be rewritten as:

Hence, we have:

Therefore, we have proved the Work-Energy Theorem. The Work done on an object is equal to the change in its kinetic energy.

Answer 2

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