Potential Energy — MCQ Practice

A block of mass $m = 2\,\text{kg}$ is dropped from a height $h = 10\,\text{m}$ above the ground. What is its gravitational potential energy with respect to the ground just before it is dropped? (Take $g = 10\,\text{m/s}^2$)

A spring with a spring constant $k = 500\,\text{N/m}$ is compressed by $x = 20\,\text{cm}$ from its equilibrium position. What is the elastic potential energy stored in the spring?

A ball of mass $m$ is dropped from a height $H$. At what height above the ground will its kinetic energy be equal to its potential energy?

A particle moves along the x-axis under a conservative force described by the potential energy function $U(x) = 3x^2 - 2x + 5\,\text{J}$. What is the force acting on the particle at $x = 1\,\text{m}$?

A block of mass $m = 0.5\,\text{kg}$ is attached to a spring of spring constant $k = 200\,\text{N/m}$. The block is pulled $10\,\text{cm}$ from its equilibrium position and released. What is the maximum speed of the block? (Assume a frictionless surface)

A particle is released from rest at a height $H$ on a frictionless track. It slides down and then moves up another track. What is the maximum height it can reach on the second track?