Laws of Motion

When a horse pulls a cart, the force that helps the horse to move forward is the force exerted by:

Impulse has the same dimensions as:

In an inertial frame of reference, a body not subjected to any net force:

The tendency of a body to resist change in its state of rest is called:

A disc of mass $1.0\ kg$ is kept floating horizontally in air by firing bullets of mass $0.05\ kg$ each vertically at it at the rate of $10$ per second. If the bullets rebound with the same speed, what is the speed of each bullet? (Take $g = 10\ m/s^2$)

Two blocks of masses $m$ and $2m$ are connected by a light string passing over a frictionless pulley. As the system is released, the acceleration of the center of mass of the system is:

A block of mass $2\ kg$ is placed on a horizontal floor. The coefficient of static friction is $0.4$. If a force of $2.5\ N$ is applied horizontally on the block, the frictional force will be:

A smooth block is released at rest from the top of an incline of height $h$ and angle $\theta$. The time taken to reach the bottom is:

A particle of mass $m$ is at rest at the origin at $t=0$. It is subjected to a force $F(t) = F_0 e^{-bt}$. Its velocity $v(t)$ as $t \to \infty$ is:

A block of mass $m$ is pushed against a vertical wall by a horizontal force $F$. If the coefficient of friction between the block and the wall is $\mu$, the minimum value of $F$ to prevent the block from falling is:

Friction is a force that acts ______ to the surfaces in contact.

Which phenomenon causes the 'cold welding' of two very smooth metal surfaces in contact?

If $\mu_s$ is $0.6$, what is the maximum force of static friction for a $10\text{ kg}$ object on a horizontal surface? ($g = 10\text{ m/s}^2$)

The value of kinetic friction is almost ______ of the speed of the body for low speeds.

A block of mass $5\text{ kg}$ is pushed along a rough horizontal surface by a constant force of $50\text{ N}$ acting at an angle of $37^\circ$ below the horizontal. If the coefficient of kinetic friction between the block and the surface is $0.3$, what is the acceleration of the block? (Take $g = 10\text{ m/s}^2$, $\sin 37^\circ = 0.6$, and $\cos 37^\circ = 0.8$)

A centripetal force of $100\text{ N}$ is required for a car to take a turn. If the maximum frictional force available is $80\text{ N}$, the car will:

When a body moves on a surface, the force of friction is independent of:

A block of mass $m$ is pushed against a rough vertical wall with a force $F$. If the coefficient of friction is $\mu$, the minimum force $F$ required to move the block vertically upwards with acceleration $a$ is:

A block is kept on a truck moving with velocity $v$. If the truck stops suddenly, the block will slide a distance $s$ before coming to rest. If the truck was moving with velocity $2v$, the block would slide a distance:

A block of mass $M$ is on a rough horizontal surface. A force $F$ is applied at an angle $\theta$ to the horizontal. The block is just about to move. The force exerted by the surface on the block is:

The magnitude of centripetal acceleration ($a_c$) can also be expressed as:

A body of mass $1$ kg is moving in a circle of radius $1$ m with a speed of $1$ m/s. The centripetal force is:

When a cyclist bends while taking a turn, the horizontal component of the normal reaction provides the:

The direction of the angular velocity vector $\vec{\omega}$ is:

In a vertical cylindrical chamber of radius $R$, known as a 'Rotor', a person is pressed against the inner wall as the chamber rotates about its vertical axis with an angular velocity $\omega$. If the coefficient of static friction between the person and the wall is $\mu$, which of the following expressions represents the minimum angular velocity required to prevent the person from sliding down when the floor is removed?

In a vertical circle, the ratio of the kinetic energy of a particle at the lowest point to that at the highest point for it to just complete the circle is:

When a car takes a turn on a level road, the centripetal force is provided by friction. If the road is wet and the coefficient of friction reduces to one-fourth of its original value, the safe speed for the same radius becomes:

A particle moves in a circle $x^2 + y^2 = 25$ with a constant speed of $10 \text{ units/s}$. What is its acceleration vector when it is at the point $(3, 4)$?

A cyclist banking at an angle $\theta$ experiences a normal force $N$. If the radius of the turn is $R$ and the speed is $v$, which of the following represents the vertical equilibrium?

If the string of a conical pendulum is of length $L$ and the bob is of mass $m$, and it is rotating with angular velocity $\omega$, the tension $T$ in the string is: