Work Power & Energy PYQs - Last 10 Years

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Practice 125 JEE Main Physics questions from Work Power & Energy. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 10 Years Work Power & Energy Questions

Showing 50 of 125 filtered questions.

1Work Power And Energy

A body of mass $2 \mathrm{~kg}$ is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in $4 \mathrm{~s}$ is $\frac{1}{3} \alpha^{2} \sqrt{P} m$. The value of $\alpha$ w...

INTEGER+4 / -12023

2Work Power And Energy

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/s\(^2\))

INTEGER+4 / -12023

3Work Power And Energy

A stone is projected at angle \(30^{\circ}\) to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be -

4Work Power And Energy

Identify the correct statements from the following :
A. Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative.
B. Work done by gravitational force in lifting a bucket out of a well by a rope ...

5Work Power And Energy

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 \(\theta\) (as shown in figure) between the direction of force and horizonta...

INTEGER+4 / -12023

6Work Power And Energy

A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of \(\mathrm{5^{th}}\) second. The force acted on the body is ________ N.

INTEGER+4 / -12023

7Work Power And Energy

A body of mass 1kg begins to move under the action of a time dependent force \(\overrightarrow F = \left( {t\widehat i + 3{t^2}\,\widehat j} \right)\) N, where \(\widehat i\) and \(\widehat j\) are the unit vectors along \(x\) and \(y\) ax...

INTEGER+4 / -12023

8Work Power And Energy

A small particle moves to position \(5 \hat{i}-2 \hat{j}+\hat{k}\) from its initial position \(2 \hat{i}+3 \hat{j}-4 \hat{k}\) under the action of force \(5 \hat{i}+2 \hat{j}+7 \hat{k} \mathrm{~N}\). The value of work done will be _________...

INTEGER+4 / -12023

9Work Power And Energy

A force \(\mathrm{F}=\left(5+3 y^{2}\right)\) acts on a particle in the \(y\)-direction, where \(\mathrm{F}\) is in newton and \(y\) is in meter. The work done by the force during a displacement from \(y=2 \mathrm{~m}\) to $$y=5 \mathrm{~m}...

INTEGER+4 / -12023

10Work Power And Energy

A block is fastened to a horizontal spring. The block is pulled to a distance \(x=10 \mathrm{~cm}\) from its equilibrium position (at \(x=0\)) on a frictionless surface from rest. The energy of the block at \(x=5\) \(\mathrm{cm}\) is $$0.25...

INTEGER+4 / -12023

11Work Power And Energy

A block of mass $10 \mathrm{~kg}$ is moving along $\mathrm{x}$-axis under the action of force $F=5 x~ N$. The work done by the force in moving the block from $x=2 m$ to $4 m$ will be __________ J.

INTEGER+4 / -12023

12Work Power And Energy

Two bodies are having kinetic energies in the ratio 16 : 9. If they have same linear momentum, the ratio of their masses respectively is :

13Work Power And Energy

The ratio of powers of two motors is \(\frac{3 \sqrt{x}}{\sqrt{x}+1}\), that are capable of raising \(300 \mathrm{~kg}\) water in 5 minutes and \(50 \mathrm{~kg}\) water in 2 minutes respectively from a well of \(100 \mathrm{~m}\) deep. The...

14Work Power And Energy

A car accelerates from rest to \(u \mathrm{~m} / \mathrm{s}\). The energy spent in this process is E J. The energy required to accelerate the car from \(u \mathrm{~m} / \mathrm{s}\) to \(2 \mathrm{u} \mathrm{m} / \mathrm{s}\) is $$\mathrm{n...

INTEGER+4 / -12023

15Work Power And Energy

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 coefficient of friction between tyre of bus and road is 0.04.]

INTEGER+4 / -12023

16Work Power And Energy

Given below are two statements:
Statement I : A truck and a car moving with same kinetic energy are brought to rest by applying breaks which provide equal retarding forces. Both come to rest in equal distance.
Statement II : A car moving to...

17Work Power And Energy

A force \(\vec{F}=(2+3 x) \hat{i}\) 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 \(x=4 \mathrm{~m}\), is __________ J.

INTEGER+4 / -12023

18Work Power And Energy

A block of mass \(5 \mathrm{~kg}\) starting from rest pulled up on a smooth incline plane making an angle of \(30^{\circ}\) with horizontal with an affective acceleration of \(1 \mathrm{~ms}^{-2}\). The power delivered by the pulling force ...

INTEGER+4 / -12023

19Work Power And Energy

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 ...

INTEGER+4 / -12023

20Work Power And Energy

If the maximum load carried by an elevator is \(1400 \mathrm{~kg}\) ( \(600 \mathrm{~kg}\) - Passengers + 800 \(\mathrm{kg}\) - elevator), which is moving up with a uniform speed of \(3 \mathrm{~m} \mathrm{~s}^{-1}\) and the frictional forc...

INTEGER+4 / -12023

21Work Power And Energy

A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 m\(-\)3/2 s\(-\)1).

22Work Power And Energy

In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is

23Work Power And Energy

A ball is projected with kinetic energy E, at an angle of \(60^{\circ}\) to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :

24Work Power And Energy

A block of mass '\(\mathrm{m}\)' (as shown in figure) moving with kinetic energy E compresses a spring through a distance \(25 \mathrm{~cm}\) when, its speed is halved. The value of spring constant of used spring will be $$\mathrm{nE} \,\,\...

INTEGER+4 / -12022

25Work Power And Energy

A bullet of mass \(200 \mathrm{~g}\) having initial kinetic energy \(90 \mathrm{~J}\) is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to \(40 \mathrm{~J}\) within \(1 \mathrm{~s}\), the minimum len...

26Work Power And Energy

Sand is being dropped from a stationary dropper at a rate of \(0.5 \,\mathrm{kgs}^{-1}\) on a conveyor belt moving with a velocity of \(5 \mathrm{~ms}^{-1}\). The power needed to keep the belt moving with the same velocity will be :

27Work Power And Energy

Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding to figure a, b, c and d respectively.

28Work Power And Energy

As per the given figure, two blocks each of mass \(250 \mathrm{~g}\) are connected to a spring of spring constant \(2 \,\mathrm{Nm}^{-1}\). If both are given velocity \(v\) in opposite directions, then maximum elongation of the spring is :

29Work Power And Energy

A 0.5 kg block moving at a speed of 12 ms\(-\)1 compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _______________ Nm\(-\)1.

INTEGER+4 / -12022

30Work Power And Energy

A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the m...

INTEGER+4 / -12022

31Work Power And Energy

A body of mass \(0.5 \mathrm{~kg}\) travels on straight line path with velocity \(v=\left(3 x^{2}+4\right) \mathrm{m} / \mathrm{s}\). The net workdone by the force during its displacement from \(x=0\) to \(x=2 \mathrm{~m}\) is :

32Work Power And Energy

A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms\(-\)1 gets embedded in it, then loss of kinetic energy will be :

33Work Power And Energy

A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance \({h \over 2}\). The spring constan...

INTEGER+4 / -12022

34Work Power And Energy

A particle experiences a variable force \(\overrightarrow F = \left( {4x\widehat i + 3{y^2}\widehat j} \right)\) in a horizontal x-y plane. Assume distance in meters and force is newton. If the particle moves from point (1, 2) to point (2,...

35Work Power And Energy

A block moving horizontally on a smooth surface with a speed of 40 ms\(-\)1 splits into two equal parts. If one of the parts moves at 60 ms\(-\)1 in the same direction, then the fractional change in the kinetic energy will be x : 4 where x ...

INTEGER+4 / -12021

36Work Power And Energy

A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses in the ratio of 1 : 2. If the smaller part moves at 60 m/s in the same direction, then the fractional change in kinetic energy is :-

37Work Power And Energy

A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which the block will lose contact with the surface of the sphere is __________ m.(Assume there is no friction between the block...

INTEGER+4 / -12021

38Work Power And Energy

An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by :

39Work Power And Energy

Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is :
[...

40Work Power And Energy

Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angle 45\(^\circ\) and 60\(^\circ\) with the direction of displacement respectively. The ratio of force appli...

INTEGER+4 / -12021

41Work Power And Energy

A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter lying on the table. If k is the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is ................. . (Tak...

INTEGER+4 / -12021

42Work Power And Energy

A force of F = (5y + 20)\(\widehat j\) N acts on a particle. The work done by this force when the particle is moved from y = 0 m to y = 10 m is ___________ J.

INTEGER+4 / -12021

43Work Power And Energy

The potential energy (U) of a diatomic molecule is a function dependent on r (interatomic distance) as \(U = {\alpha \over {{r^{10}}}} - {\beta \over {{r^5}}} - 3\)where, \(\alpha\) and \(\beta\) are positive constants. The equilibrium di...

INTEGER+4 / -12021

44Work Power And Energy

A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a constant velocity. Calculate the work done by the porter in lowering the suitcase.(take g = 9.8 ms\(-\)2)

45Work Power And Energy

In a spring gun having spring constant 100 N/m a small ball 'B' of mass 100 g is put in its barrel (as shown in figure) by compressing the spring through 0.05 m. There should be a box placed at a distance 'd' on the ground so that the ball ...

INTEGER+4 / -12021

46Work Power And Energy

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :

47Work Power And Energy

An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 40,000 kg is moving with a speed of 72 kmh\(-\)1 when the brakes are applied to bring it to rest. In the process of the system being ...

INTEGER+4 / -12021

48Work Power And Energy

A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8\(\sqrt {gh}\). The value of workdone by the air-friction is :

49Work Power And Energy

A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :-

50Work Power And Energy

As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed of the particle at B is x m/s. (Take g = 10 m/s2)The value of...

INTEGER+4 / -12021