Work-Energy Theorem — Prelims Questions

A block of mass $2,\text{kg}$ is initially at rest on a rough horizontal surface. A horizontal force of $10,\text{N}$ is applied to the block. If the coefficient of kinetic friction between the block and the surface is $0.2$, what is the kinetic energy of the block after it has moved $4,\text{m}$?

A particle of mass $m$ is projected vertically upwards with an initial speed $v$. Ignoring air resistance, what is the work done by gravity on the particle when it reaches its maximum height?

A $0.5,\text{kg}$ ball is dropped from a height of $10,\text{m}$. What is its speed just before hitting the ground? (Assume $g = 10,\text{m/s}^2$ and ignore air resistance).

A $1,\text{kg}$ block slides down a frictionless incline of length $5,\text{m}$ and angle $30^circ$. If it starts from rest, what is its speed at the bottom of the incline? (Take $g = 10,\text{m/s}^2$)

A spring with spring constant $k = 200,\text{N/m}$ is compressed by $0.1,\text{m}$. A $0.2,\text{kg}$ mass is placed against it and then released. What is the speed of the mass when it leaves the spring?

A $5,\text{kg}$ object is moving at $4,\text{m/s}$. A constant braking force of $10,\text{N}$ is applied to it. How far does the object travel before coming to rest?