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Work and Energy Physics - Work and Energy

Rajasthan Board (RBSE) - STD 11 Science - Physics (Rajasthan - English Medium). 100 questions in this chapter.

Question types

Work and Energy question types

100 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

100
Questions
6
Question groups
5
Question types
Sample Questions

Work and Energy questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
Consider two observers moving with respect to each other at a speed v along a straight line. They observe a bock of mass m moving a distancel on a rough surface. The following quantities will be same as observed by the two observers.
  • A
    Kinetic energy of the block at time t.
  • B
    Work done by friction.
  • C
    Total work done on the block.
  • ✓
    Acceleration of the block.

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark
A block of mass m slides down a smooth vertical circular track. During the motion, the block is in:
  • A
    Vertical equilibrium.
  • B
    Horizontal equilibrium.
  • C
    Radial equilibrium.
  • ✓
    None of these.

Answer: D.

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Q 3M.C.Q (1 Marks)1 Mark
The total work done on a particle is equal to the change in its kinetic energy:
  • ✓
    Always.
  • B
    Only if the forces acting on it are conservative.
  • C
    Only if gravitational force alone acts on it.
  • D
    Only if elastic force alone acts on it.

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark
The kinetic energy force on the particle continuously increases with time.
  1. The resultant force on the particle must be parallel to the velocity at all instants.
  2. The resultant force on the particle must be at an angle less than $90^\circ$ all the time.
  3. Its height above the ground level must continuously decrease.
  4. The magnitude of its linear momentum is increasing continuously.
  • A
    $A$ and $D$
  • ✓
    $B$ and $D$
  • C
    $B$ and $C$
  • D
    $C$ and $D$

Answer: B.

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Q 5M.C.Q (1 Marks)1 Mark
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:
  1. Its velocity is constant.
  2. Its acceleration is constant.
  3. Its kinetic energy is constant.
  4. It moves in a circular path.
  • A
    $A$ and $B$
  • B
    $A$ and $C$
  • C
    $C$ and $D$
  • ✓
    $C$ and $D$

Answer: D.

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Q 72 Marks Questions2 Marks
A heavy box is kept on a smooth inclined plane and is pushed up by a force $F$ acting parallel to the plane. Does the work done by the force $F$ as the box goes from $A$ to $B$ depend on how fast the box was moving at $A$ and $B$ ? Does the work by the force of gravity depend on this?
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Q 102 Marks Questions2 Marks
A small heavy block is attached to the lower end of a light rod of length l which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?
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Q 133 Marks Question3 Marks
In a children's park, there is a slide which has a total length of $10m$ and a height of $8.0m ($figure$).$ Vertical ladder are provided to reach the top. A boy weighing $200N$ climbs up the ladder to the top of the slide and slides down to the ground. The average friction offered by the slide is three tenth of his weight. Find
  1. The work done by the ladder on the boy as he goes up.
  2. The work done by the slide on the boy as he comes down. Neglect any work done by forces inside the body of the boy.
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Q 143 Marks Question3 Marks
Consider the situation of the previous question from a frame moving with a speed $v_0$ parallel to the initial velocity of the block.
  1. What are the initial and final kinetic energies?
  2. What is the work done by the kinetic friction?
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Q 153 Marks Question3 Marks
A block of mass $100g$ is moved with a speed of $5.0m/s$ at the highest point in a closed circular tube of radius $10cm$ kept in a vertical plane. The cross-section of the tube is such that the block just fits in it. The block makes several oscillations inside the tube and finally stops at the lowest point. Find the work done by the tube on the block during the process.
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Q 163 Marks Question3 Marks
A simple pendulum consists of a 50cm long string connected to a 100g ball. The ball is pulled aside so that the string makes an angle of 37° with the vertical and is then released. Find the tension in the string when the bob is at its lowest position.
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Q 175 Marks Questions5 Marks
A 250g block slides on a rough horizontal table. Find the work done by the frictional force in bringing the block to rest if it is initially moving at a speed of 40cm/s. If the friction coefficient between the table and the block is 0.1, how far does the block move before coming to rest?
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Q 185 Marks Questions5 Marks
The bob of a stationary pendulum is given a sharp hit to impart it a horizontal speed of $\sqrt{3\text{gl}}.$ Find the angle rotated by the string before it becomes slack.
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Q 195 Marks Questions5 Marks
A simple pendulum of length L having a bob of mass m is deflected from its rest position by an angle $\theta$ and released (figure). The string hits a peg which is fixed at a distance x below the point of suspension and the bob starts going in a circle centred at the peg.
  1. Assuming that initially the bob has a height less than the peg, show that the maximum height reached by the bob equals its initial height.
  2. If the pendulum is released with $\theta=90^\circ$ and $\text{x}=\frac{\text{L}}{2}$ find the maximum height reached by the bob above its lowest position before the string becomes slack.
  3. Find the minimum value of $\frac{\text{x}}{\text{L}}$ for which the bob goes in a complete circle about the peg when the pendulum is released from $\theta=90^\circ.$
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Q 205 Marks Questions5 Marks
A small block of mass $200g$ is kept at the top of a frictionless incline which is $10m$ long and $3.2m$ high. How much work was required.
  1. To lift the block from the ground and put it at the top.
  2. To slide the block up the incline? What will be the speed of the block when it reaches the ground.
  3. It falls off the incline and drops vertically on the ground.
  4. It slides down the incline? Take $g = 10m/s^2$​​​​​​​.
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Q 22Case study (4 Marks)4 Marks
In one of the exercises to strengthen the wrist and fingers, a person squeezes and releases a soft rubber ball. Is the work done on the ball positive, negative or zero during compression? During expansion?
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Q 24Case study (4 Marks)4 Marks
The US athlete Florence Griffith-Joyner won the $100m$ sprint gold medal at Seol Olympic $1988$ setting a new Olympic record of $10.54s$. Assume that she achieved her maximum speed in a very short-time and then ran the race with that speed till she crossed the line. Take her mass to be $50kg$.
  1. Calculate the kinetic energy of Griffith-Joyner at her full speed.
  2. Assuming that the track, the wind etc. offered an average resistance of one tenth of her weight, calculate the work done by the resistance during the run.
  3. What power GriffithJoyner had to exert to maintain uniform speed?
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Q 25Case study (4 Marks)4 Marks
In tug of war, the team that exerts a larger tangential force on the ground wins. Consider the period in which a team is dragging the opposite team by applying a larger tangential force on the ground. List which of the following works are positive, which are negative and which are zero?
  1. Work by the winning team on the losing team.
  2. Work by the losing team on the winning team.
  3. Work by the ground on the winning team.
  4. Work by the ground on the losing team.
  5. Total external work on the two teams.
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