Work, Energy and Power

Which of the following graphs represents a constant force performing work?

What is the work done if a particle is displaced from $\vec{r}_1$ to $\vec{r}_2$ by a constant force $\vec{F}$?

The work done by the force of friction on a body moving on a rough horizontal surface is:

In CGS units, the unit of force is Dyne and displacement is cm. The unit of work is:

A variable force $F = (2 + x)$ acts on an object. Calculate the work done for displacement from $x = 0$ to $x = 2 \text{ m}$.

A force $\vec{F} = (x\hat{i} + 2\hat{j})$ acts on a particle. The work done in moving from $(0, 0)$ to $(2, 3)$ is:

A force $F = 10 \sin(\theta)$ is applied to a lever. If the displacement is angular, how is work usually calculated in linear terms for a small segment $dx$?

A particle of mass $m$ is moving in a horizontal circle of radius $r$ under a centripetal force $-k/r^2$. The work done by this force in half a revolution is:

The work done by a force $\vec{F} = (y^2 \hat{i} + 2xy \hat{j})$ along the curve $y = x^2$ from $(0,0)$ to $(1,1)$ is $W_1$. The work done by the same force along the line $y = x$ from $(0,0)$ to $(1,1)$ is $W_2$. What is the relationship between $W_1$ and $W_2$?

A force $\vec{F} = (ax^2 \hat{i} + b \hat{j})$ acts on a particle. Calculate the work done as it moves from $(0,0)$ to $(L, L)$ along the path $y = x$.

Two bodies of masses $m_1$ and $m_2$ have equal momenta. The ratio of their kinetic energies $K_1/K_2$ is:

The work done by a force is negative when the angle between the force and displacement is:

A flying bird possesses:

Which of the following is the correct formula for work $W$ when a force $F$ acts at an angle $\theta$ to the displacement $d$?

A motor cycle of mass $200\text{ kg}$ is moving over a horizontal road with a uniform velocity of $72\text{ km/h}$. If the coefficient of friction between the tires and road is $0.2$, the power of the engine is (take $g = 10\text{ m/s}^2$):

A body of mass $m$ moves from rest such that its velocity $v$ varies with displacement $s$ as $v = k\sqrt{s}$. The work done by all forces on the body during the first $s_0$ displacement is:

A pump can lift $100\text{ kg}$ of water to a height of $10\text{ m}$ in $10\text{ s}$. The power of the pump is (take $g = 10\text{ m/s}^2$):

A body of mass $m$ is moving in a circular path of radius $r$. If its kinetic energy $K$ is constant, then the net force acting on the body is:

A particle of mass $m$ moves in a circle of radius $r$ with a constant speed $v$. The work done by the centripetal force over a semi-circle is:

A constant force $F$ is applied to a body of mass $m$ initially at rest. The power delivered to the body at time $t$ is:

A particle moves from point A to point B under a constant force. The change in its kinetic energy depends on:

Which of the following does NOT represent the unit of power?

A ball of mass $0.5\text{ kg}$ is dropped from a height of $10\text{ m}$. The work done by gravity just before it hits the ground is ($g = 10\text{ m/s}^2$):

The work done by a force is maximum when the angle between force and displacement is:

A body of mass $m$ is thrown at an angle $\theta$ to the horizontal with velocity $u$. The work done by gravity during the time the body reaches the highest point is:

A block of mass $m$ is moving on a circle of radius $r$ with a constant tangential acceleration $a_t$. The work done by the net force in the first revolution is:

If the kinetic energy of a particle is doubled, what happens to its momentum?

A block of mass $m$ is pulled up a rough inclined plane of inclination $\theta$ and coefficient of friction $\mu$ by a constant force $F$ parallel to the plane. The work done by the net force for a displacement $L$ is:

An object of mass 5 kg is subject to a variable force $F = 2x$. If it starts from rest at $x=0$, its velocity at $x=4$ m is:

A particle of mass $m$ is moving with a constant acceleration $a$. The power delivered by the net force at time $t$ is:

Which of these forces is path-independent?

What happens to the kinetic energy of a body when work is done against friction?

The work done by a non-conservative force $F$ over a distance $d$ is:

In a conservative field, the work done is independent of:

The potential energy $U$ for a force $\vec{F} = -k\vec{r}$ (where $\vec{r} = x\hat{i} + y\hat{j}$) is:

Which statement is true regarding the work-energy relationship in a system with friction?

A mass $M$ is attached to a vertical spring. As it falls and stretches the spring, the work done by the gravitational force is:

In a conservative field, if the work done in moving a particle from point $A$ to point $B$ is $W$, then the work done in moving it from $B$ to $A$ is:

Find the work done by the force $\vec{F} = z \hat{i} + x \hat{j} + y \hat{k}$ in moving a particle along the curve $\vec{r}(t) = \cos t \hat{i} + \sin t \hat{j} + t \hat{k}$ from $t=0$ to $t=2\pi$.

The curl of a force field $\vec{F}$ is given by $\nabla \times \vec{F} = (x^2-y^2) \hat{k}$. This force is:

When a ball hits the ground and does not bounce at all, the collision is:

The term 'restitution' in physics refers to the ability of a body to:

If the kinetic energy after collision is less than kinetic energy before collision, the value of $e$ must be:

In a 2D collision, if the initial momentum is only along the x-axis, the final total momentum along the y-axis must be:

A body of mass $2 \text{ kg}$ makes an elastic collision with another body at rest and continues to move in the original direction with one-fourth of its original speed. What is the mass of the second body?

The work done by the impulsive force during the deformation phase of a collision is:

In an oblique collision, the component of momentum of each body remains constant along:

Two particles of masses $m_1$ and $m_2$ have equal kinetic energies. The ratio of their momenta is:

A ball of mass $0.5 \text{ kg}$ moving at $10 \text{ m/s}$ strikes a wall and rebounds with $8 \text{ m/s}$. The coefficient of restitution is:

A block of mass $m$ is moving with velocity $v$ and collides with another block of mass $m$ at rest. After collision, they move together. The loss in kinetic energy is $K$. If they had collided elastically, the loss in kinetic energy would be: