Question

The slope of the kinetic energy versus position vector gives the rate of change of

• A. momentum
• B. velocity
• C. force
• D. power

Answer 1

Answer: (C)

force

Answer 2

We know that, kinetic energy (KE) =$\frac{1}{2}mv^2$ Also ,force $\times$ displacement $=\frac{1}{2}mv^2$ $\Rightarrow F=\frac{1}{2}m\frac{v^2}{d}=\frac{KE}{d}$ Hence, slope of kinetic energy versus position vector gives the rate of change of force.