Conservation of Energy — Prelims Questions

A block of mass $m = 2\,\text{kg}$ is released from rest at the top of a frictionless inclined plane of height $h = 5\,\text{m}$. What is the speed of the block when it reaches the bottom of the incline? (Take $g = 10\,\text{m/s}^2$)

A spring with a spring constant $k = 200\,\text{N/m}$ is compressed by $x = 10\,\text{cm}$. A mass $m = 0.5\,\text{kg}$ is placed against it and released. What is the speed of the mass when it leaves the spring?

A ball of mass $m$ is dropped from a height $H$. Due to air resistance, it reaches the ground with a speed of $v$. What is the work done by air resistance?

A particle is moved from point A to point B under the action of a conservative force. The potential energy at A is $10\,\text{J}$ and at B is $4\,\text{J}$. If the kinetic energy at A is $5\,\text{J}$, what is the kinetic energy at B?

A block of mass $m$ is attached to a spring of spring constant $k$. It is pulled to a distance $A$ from its equilibrium position and released. What is its speed when it passes through the equilibrium position?

A particle of mass $m$ is projected vertically upwards with an initial speed $v_0$. Neglecting air resistance, what is its maximum height $H$?