JEE Mains Previous Year Questions (2021-2024): Work, Energy and Power | Chapter-wise Tests for JEE Main & Advanced PDF Download

 Page 1


Numerical 
 
Q.1. A block of mass 10 kg is moving along x-axis under the 
action of force F=5x N. The work done by the force in moving the 
block from x=2m to 4m will be __________ J. 
JEE Main 2023 (Online) 15th April Morning Shift 
Q.2. A car accelerates from rest to  u m/s. The energy spent in 
this process is E J. The energy required to accelerate the car 
from  u m/s to 2um/s is  nE J. The value of n is ____________. 
JEE Main 2023 (Online) 13th April Evening Shift 
Q.3. To maintain a speed of 80 km/h by a bus of mass 500 kg on 
a plane rough road for 4 km distance, the work done by the 
engine of the bus will be ____________ KJ. [The coeffi cient of 
friction between tyre of bus and road is 0.04.] 
JEE Main 2023 (Online) 12th April Morning Shift 
Q.4. A block of mass  5 kg starting from rest pulled up on a 
smooth incline plane making an angle of 30 ° with horizontal with 
an affective acceleration of  1 ms-2. The power delivered by the 
pulling force at  t=10 s from the start is ___________ W. 
[use  g=10 ms-2 ] 
(calculate the nearest integer value) 
 
JEE Main 2023 (Online) 11th April Evening Shift 
Page 2


Numerical 
 
Q.1. A block of mass 10 kg is moving along x-axis under the 
action of force F=5x N. The work done by the force in moving the 
block from x=2m to 4m will be __________ J. 
JEE Main 2023 (Online) 15th April Morning Shift 
Q.2. A car accelerates from rest to  u m/s. The energy spent in 
this process is E J. The energy required to accelerate the car 
from  u m/s to 2um/s is  nE J. The value of n is ____________. 
JEE Main 2023 (Online) 13th April Evening Shift 
Q.3. To maintain a speed of 80 km/h by a bus of mass 500 kg on 
a plane rough road for 4 km distance, the work done by the 
engine of the bus will be ____________ KJ. [The coeffi cient of 
friction between tyre of bus and road is 0.04.] 
JEE Main 2023 (Online) 12th April Morning Shift 
Q.4. A block of mass  5 kg starting from rest pulled up on a 
smooth incline plane making an angle of 30 ° with horizontal with 
an affective acceleration of  1 ms-2. The power delivered by the 
pulling force at  t=10 s from the start is ___________ W. 
[use  g=10 ms-2 ] 
(calculate the nearest integer value) 
 
JEE Main 2023 (Online) 11th April Evening Shift 
Q.6. If the maximum load carried by an elevator 
is  1400 kg (  600 kg - Passengers + 800 kg - elevator), which is 
moving up with a uniform speed of   3 m s-1 and the frictional 
force acting on it is  2000 N, then the maximum power used by 
the motor is __________   
JEE Main 2023 (Online) 10th April Evening Shift 
Q.7. A closed circular tube of average radius 15 cm, whose inner 
walls are rough, is kept in vertical plane. A block of mass 1 kg 
just fit inside the tube. The speed of block is 22 m/s, when it is 
introduced at the top of tube. After completing fi ve oscillations, 
the block stops at the bottom region of tube. The work done by 
the tube on the block is __________ J. (Given g = 10 m/s2). 
 
JEE Main 2023 (Online) 10th April Morning Shift 
Q.8. A body of mass  5 kg is moving with a momentum 
of   10 kg ms-1. Now a force of  2 N acts on the body in the 
direction of its motion for  5 s. The increase in the Kinetic energy 
of the body is ___________ J. 
JEE Main 2023 (Online) 8th April Evening Shift 
 
Q.9. A hollow spherical ball of uniform density rolls up a curved 
surface with an initial velocity  3 m/s (as shown in fig ure). 
Q.5. A force acts on a particle in the X direction 
where F is in newton and X is in meter. The work done by this 
force during a displacement from X=0 to  X=4 m, is __________ J. 
JEE Main 2023 (Online) 11th April Morning Shift 
Page 3


Numerical 
 
Q.1. A block of mass 10 kg is moving along x-axis under the 
action of force F=5x N. The work done by the force in moving the 
block from x=2m to 4m will be __________ J. 
JEE Main 2023 (Online) 15th April Morning Shift 
Q.2. A car accelerates from rest to  u m/s. The energy spent in 
this process is E J. The energy required to accelerate the car 
from  u m/s to 2um/s is  nE J. The value of n is ____________. 
JEE Main 2023 (Online) 13th April Evening Shift 
Q.3. To maintain a speed of 80 km/h by a bus of mass 500 kg on 
a plane rough road for 4 km distance, the work done by the 
engine of the bus will be ____________ KJ. [The coeffi cient of 
friction between tyre of bus and road is 0.04.] 
JEE Main 2023 (Online) 12th April Morning Shift 
Q.4. A block of mass  5 kg starting from rest pulled up on a 
smooth incline plane making an angle of 30 ° with horizontal with 
an affective acceleration of  1 ms-2. The power delivered by the 
pulling force at  t=10 s from the start is ___________ W. 
[use  g=10 ms-2 ] 
(calculate the nearest integer value) 
 
JEE Main 2023 (Online) 11th April Evening Shift 
Q.6. If the maximum load carried by an elevator 
is  1400 kg (  600 kg - Passengers + 800 kg - elevator), which is 
moving up with a uniform speed of   3 m s-1 and the frictional 
force acting on it is  2000 N, then the maximum power used by 
the motor is __________   
JEE Main 2023 (Online) 10th April Evening Shift 
Q.7. A closed circular tube of average radius 15 cm, whose inner 
walls are rough, is kept in vertical plane. A block of mass 1 kg 
just fit inside the tube. The speed of block is 22 m/s, when it is 
introduced at the top of tube. After completing fi ve oscillations, 
the block stops at the bottom region of tube. The work done by 
the tube on the block is __________ J. (Given g = 10 m/s2). 
 
JEE Main 2023 (Online) 10th April Morning Shift 
Q.8. A body of mass  5 kg is moving with a momentum 
of   10 kg ms-1. Now a force of  2 N acts on the body in the 
direction of its motion for  5 s. The increase in the Kinetic energy 
of the body is ___________ J. 
JEE Main 2023 (Online) 8th April Evening Shift 
 
Q.9. A hollow spherical ball of uniform density rolls up a curved 
surface with an initial velocity  3 m/s (as shown in fig ure). 
Q.5. A force acts on a particle in the X direction 
where F is in newton and X is in meter. The work done by this 
force during a displacement from X=0 to  X=4 m, is __________ J. 
JEE Main 2023 (Online) 11th April Morning Shift 
Maximum height with respect to the initial position covered by it 
will be __________ cm. 
 
JEE Main 2023 (Online) 8th April Evening Shift 
Q.10. A body is dropped on ground from a height ' h1' and after 
hitting the ground, it rebounds to a height ' h2'. If the ratio of 
velocities of the body just before and after hitting ground is 4 , 
then percentage loss in kinetic energy of the body is X/4. The 
value of X is ____________. 
JEE Main 2023 (Online) 6th April Evening Shift 
Q.11. A particle of mass  10 g moves in a straight line with 
retardation 2X, where X is the displacement in SI units. Its loss of 
kinetic energy for above displacement is (10/X)-n J. The value 
of n will be __________  
JEE Main 2023 (Online) 6th April Morning Shift 
Q.12. A block is fastened to a horizontal spring. The block is 
pulled to a distance x=10 cm from its equilibrium position 
(at x=0) on a frictionless surface from rest. The energy of the 
block at x=5 cm is  0.25 J. The spring constant of the spring is 
___________ Nm
-1 
JEE Main 2023 (Online) 1st February Evening Shift
 
Q.13. A force F=(5+3y
2
) acts on a particle in the y-direction, 
where F is in newton and y is in meter. The work done by the 
Page 4


Numerical 
 
Q.1. A block of mass 10 kg is moving along x-axis under the 
action of force F=5x N. The work done by the force in moving the 
block from x=2m to 4m will be __________ J. 
JEE Main 2023 (Online) 15th April Morning Shift 
Q.2. A car accelerates from rest to  u m/s. The energy spent in 
this process is E J. The energy required to accelerate the car 
from  u m/s to 2um/s is  nE J. The value of n is ____________. 
JEE Main 2023 (Online) 13th April Evening Shift 
Q.3. To maintain a speed of 80 km/h by a bus of mass 500 kg on 
a plane rough road for 4 km distance, the work done by the 
engine of the bus will be ____________ KJ. [The coeffi cient of 
friction between tyre of bus and road is 0.04.] 
JEE Main 2023 (Online) 12th April Morning Shift 
Q.4. A block of mass  5 kg starting from rest pulled up on a 
smooth incline plane making an angle of 30 ° with horizontal with 
an affective acceleration of  1 ms-2. The power delivered by the 
pulling force at  t=10 s from the start is ___________ W. 
[use  g=10 ms-2 ] 
(calculate the nearest integer value) 
 
JEE Main 2023 (Online) 11th April Evening Shift 
Q.6. If the maximum load carried by an elevator 
is  1400 kg (  600 kg - Passengers + 800 kg - elevator), which is 
moving up with a uniform speed of   3 m s-1 and the frictional 
force acting on it is  2000 N, then the maximum power used by 
the motor is __________   
JEE Main 2023 (Online) 10th April Evening Shift 
Q.7. A closed circular tube of average radius 15 cm, whose inner 
walls are rough, is kept in vertical plane. A block of mass 1 kg 
just fit inside the tube. The speed of block is 22 m/s, when it is 
introduced at the top of tube. After completing fi ve oscillations, 
the block stops at the bottom region of tube. The work done by 
the tube on the block is __________ J. (Given g = 10 m/s2). 
 
JEE Main 2023 (Online) 10th April Morning Shift 
Q.8. A body of mass  5 kg is moving with a momentum 
of   10 kg ms-1. Now a force of  2 N acts on the body in the 
direction of its motion for  5 s. The increase in the Kinetic energy 
of the body is ___________ J. 
JEE Main 2023 (Online) 8th April Evening Shift 
 
Q.9. A hollow spherical ball of uniform density rolls up a curved 
surface with an initial velocity  3 m/s (as shown in fig ure). 
Q.5. A force acts on a particle in the X direction 
where F is in newton and X is in meter. The work done by this 
force during a displacement from X=0 to  X=4 m, is __________ J. 
JEE Main 2023 (Online) 11th April Morning Shift 
Maximum height with respect to the initial position covered by it 
will be __________ cm. 
 
JEE Main 2023 (Online) 8th April Evening Shift 
Q.10. A body is dropped on ground from a height ' h1' and after 
hitting the ground, it rebounds to a height ' h2'. If the ratio of 
velocities of the body just before and after hitting ground is 4 , 
then percentage loss in kinetic energy of the body is X/4. The 
value of X is ____________. 
JEE Main 2023 (Online) 6th April Evening Shift 
Q.11. A particle of mass  10 g moves in a straight line with 
retardation 2X, where X is the displacement in SI units. Its loss of 
kinetic energy for above displacement is (10/X)-n J. The value 
of n will be __________  
JEE Main 2023 (Online) 6th April Morning Shift 
Q.12. A block is fastened to a horizontal spring. The block is 
pulled to a distance x=10 cm from its equilibrium position 
(at x=0) on a frictionless surface from rest. The energy of the 
block at x=5 cm is  0.25 J. The spring constant of the spring is 
___________ Nm
-1 
JEE Main 2023 (Online) 1st February Evening Shift
 
Q.13. A force F=(5+3y
2
) acts on a particle in the y-direction, 
where F is in newton and y is in meter. The work done by the 
force during a displacement from  y=2 m to  y=5 m is ___________ 
J. 
JEE Main 2023 (Online) 1st February Evening Shift 
Q.14. A small particle moves to position  from its initial 
position under the action of force  . The 
value of work done will be __________ J. 
JEE Main 2023 (Online) 1st February Morning Shift 
Q.15. A lift of mass  M=500 kg is descending with speed 
of  2 ms-1. Its supporting cable begins to slip thus allowing it to 
fall with a constant acceleration of  2 ms-2. The kinetic energy of 
the lift at the end of fall through to a distance of  6 m will be 
_____________ kJ. 
JEE Main 2023 (Online) 31st January Morning Shift 
Q.16. A body of mass  2 kg is initially at rest. It starts moving 
unidirectionally under the influence of a source of constant 
power P . Its displacement in  . The value of a will be 
______. 
JEE Main 2023 (Online) 30th January Evening Shift 
Q.17. A 0.4 kg mass takes 8s to reach ground when dropped 
from a certain height 'P' above surface of earth. The loss of 
potential energy in the last second of fall is __________ J. 
(Take g = 10 m/s2) 
 
JEE Main 2023 (Online) 29th January Morning Shift 
Q.18. An object of mass 'm' initially at rest on a smooth 
horizontal plane starts moving under the action of force F = 2N. 
In the process of its linear motion, the angle ? (as shown in 
figure) between the direction of force and horizontal varies 
Page 5


Numerical 
 
Q.1. A block of mass 10 kg is moving along x-axis under the 
action of force F=5x N. The work done by the force in moving the 
block from x=2m to 4m will be __________ J. 
JEE Main 2023 (Online) 15th April Morning Shift 
Q.2. A car accelerates from rest to  u m/s. The energy spent in 
this process is E J. The energy required to accelerate the car 
from  u m/s to 2um/s is  nE J. The value of n is ____________. 
JEE Main 2023 (Online) 13th April Evening Shift 
Q.3. To maintain a speed of 80 km/h by a bus of mass 500 kg on 
a plane rough road for 4 km distance, the work done by the 
engine of the bus will be ____________ KJ. [The coeffi cient of 
friction between tyre of bus and road is 0.04.] 
JEE Main 2023 (Online) 12th April Morning Shift 
Q.4. A block of mass  5 kg starting from rest pulled up on a 
smooth incline plane making an angle of 30 ° with horizontal with 
an affective acceleration of  1 ms-2. The power delivered by the 
pulling force at  t=10 s from the start is ___________ W. 
[use  g=10 ms-2 ] 
(calculate the nearest integer value) 
 
JEE Main 2023 (Online) 11th April Evening Shift 
Q.6. If the maximum load carried by an elevator 
is  1400 kg (  600 kg - Passengers + 800 kg - elevator), which is 
moving up with a uniform speed of   3 m s-1 and the frictional 
force acting on it is  2000 N, then the maximum power used by 
the motor is __________   
JEE Main 2023 (Online) 10th April Evening Shift 
Q.7. A closed circular tube of average radius 15 cm, whose inner 
walls are rough, is kept in vertical plane. A block of mass 1 kg 
just fit inside the tube. The speed of block is 22 m/s, when it is 
introduced at the top of tube. After completing fi ve oscillations, 
the block stops at the bottom region of tube. The work done by 
the tube on the block is __________ J. (Given g = 10 m/s2). 
 
JEE Main 2023 (Online) 10th April Morning Shift 
Q.8. A body of mass  5 kg is moving with a momentum 
of   10 kg ms-1. Now a force of  2 N acts on the body in the 
direction of its motion for  5 s. The increase in the Kinetic energy 
of the body is ___________ J. 
JEE Main 2023 (Online) 8th April Evening Shift 
 
Q.9. A hollow spherical ball of uniform density rolls up a curved 
surface with an initial velocity  3 m/s (as shown in fig ure). 
Q.5. A force acts on a particle in the X direction 
where F is in newton and X is in meter. The work done by this 
force during a displacement from X=0 to  X=4 m, is __________ J. 
JEE Main 2023 (Online) 11th April Morning Shift 
Maximum height with respect to the initial position covered by it 
will be __________ cm. 
 
JEE Main 2023 (Online) 8th April Evening Shift 
Q.10. A body is dropped on ground from a height ' h1' and after 
hitting the ground, it rebounds to a height ' h2'. If the ratio of 
velocities of the body just before and after hitting ground is 4 , 
then percentage loss in kinetic energy of the body is X/4. The 
value of X is ____________. 
JEE Main 2023 (Online) 6th April Evening Shift 
Q.11. A particle of mass  10 g moves in a straight line with 
retardation 2X, where X is the displacement in SI units. Its loss of 
kinetic energy for above displacement is (10/X)-n J. The value 
of n will be __________  
JEE Main 2023 (Online) 6th April Morning Shift 
Q.12. A block is fastened to a horizontal spring. The block is 
pulled to a distance x=10 cm from its equilibrium position 
(at x=0) on a frictionless surface from rest. The energy of the 
block at x=5 cm is  0.25 J. The spring constant of the spring is 
___________ Nm
-1 
JEE Main 2023 (Online) 1st February Evening Shift
 
Q.13. A force F=(5+3y
2
) acts on a particle in the y-direction, 
where F is in newton and y is in meter. The work done by the 
force during a displacement from  y=2 m to  y=5 m is ___________ 
J. 
JEE Main 2023 (Online) 1st February Evening Shift 
Q.14. A small particle moves to position  from its initial 
position under the action of force  . The 
value of work done will be __________ J. 
JEE Main 2023 (Online) 1st February Morning Shift 
Q.15. A lift of mass  M=500 kg is descending with speed 
of  2 ms-1. Its supporting cable begins to slip thus allowing it to 
fall with a constant acceleration of  2 ms-2. The kinetic energy of 
the lift at the end of fall through to a distance of  6 m will be 
_____________ kJ. 
JEE Main 2023 (Online) 31st January Morning Shift 
Q.16. A body of mass  2 kg is initially at rest. It starts moving 
unidirectionally under the influence of a source of constant 
power P . Its displacement in  . The value of a will be 
______. 
JEE Main 2023 (Online) 30th January Evening Shift 
Q.17. A 0.4 kg mass takes 8s to reach ground when dropped 
from a certain height 'P' above surface of earth. The loss of 
potential energy in the last second of fall is __________ J. 
(Take g = 10 m/s2) 
 
JEE Main 2023 (Online) 29th January Morning Shift 
Q.18. An object of mass 'm' initially at rest on a smooth 
horizontal plane starts moving under the action of force F = 2N. 
In the process of its linear motion, the angle ? (as shown in 
figure) between the direction of force and horizontal varies 
as ?=kx, where k is a constant and x is the distance covered by 
the object from its initial position. The expression of kinetic 
energy of the object will be . The value of n is 
 
JEE Main 2023 (Online) 25th January Morning Shift 
Q.19. A body of mass 1kg begins to move under the action of a 
time dependent force  N, where i^ and j^ are the unit 
vectors along x and y axis. The power developed by above force, 
at the time t = 2s, will be ____________ W. 
JEE Main 2023 (Online) 24th January Evening Shift 
Q.20. A spherical body of mass 2 kg starting from rest acquires a 
kinetic energy of 10000 J at the end of 5th second. The force 
acted on the body is ________ N. 
JEE Main 2023 (Online) 24th January Morning Shift