Laws of Motion — Prelims Questions

A block of mass $M$ is placed on a smooth inclined plane of inclination $heta$. The force required to push the block up the plane with an acceleration $a$ is:

A force of $10,\text{N}$ acts on a body of mass $2,\text{kg}$ for $3,\text{s}$. If the body was initially at rest, what is its final momentum?

A man of mass $60,\text{kg}$ is standing on a weighing machine in a lift. If the lift is accelerating upwards at $2,\text{m/s}^2$, what is the reading of the weighing machine? (Take $g = 10,\text{m/s}^2$)

Two blocks of masses $m_1 = 2,\text{kg}$ and $m_2 = 3,\text{kg}$ are connected by a massless string and placed on a frictionless horizontal surface. A force $F = 10,\text{N}$ is applied to $m_1$ horizontally. What is the tension in the string connecting the two blocks?

Which of the following statements is NOT a direct consequence of Newton's First Law of Motion?

A block of mass $m$ is pulled by a constant force $F$ on a rough horizontal surface. If the coefficient of kinetic friction is $mu_k$, what is the acceleration of the block?