Force and Acceleration — Prelims Questions

A block of mass $2\,\text{kg}$ is placed on a frictionless horizontal surface. A horizontal force of $10\,\text{N}$ is applied to the block. What is the acceleration of the block?

A $5\,\text{kg}$ object is moving with a constant velocity of $3\,\text{m/s}$ on a horizontal surface. What is the net force acting on the object?

A $10\,\text{kg}$ block is pulled by a rope with a tension of $50\,\text{N}$ at an angle of $30^\circ$ above the horizontal. The coefficient of kinetic friction between the block and the surface is $0.2$. Calculate the acceleration of the block. (Take $g = 10\,\text{m/s}^2$, $\cos 30^\circ = 0.866$, $\sin 30^\circ = 0.5$)

Two blocks of masses $m_1 = 3\,\text{kg}$ and $m_2 = 2\,\text{kg}$ are connected by a light string and placed on a frictionless horizontal surface. A horizontal force $F = 25\,\text{N}$ is applied to $m_1$. What is the acceleration of the system and the tension in the string?

An object of mass $m$ is falling freely under gravity. If air resistance is negligible, what is its acceleration?

A $4\,\text{kg}$ block is initially at rest on a horizontal surface. A horizontal force of $20\,\text{N}$ is applied. If the coefficient of static friction is $0.6$ and the coefficient of kinetic friction is $0.4$, what is the acceleration of the block? (Take $g = 10\,\text{m/s}^2$)