# A gravitational field is present in a region and a mass is shifted from $$A$$ to $$B$$ through different paths as shown. If $$W_1$$, $$W_2$$ and $$W_3$$ represent the work done by the gravitational force along their respective paths, then: 1. $$W_1=W_2=W_3$$ 2. $$W_1>W_2>W_3$$ 3. $$W_1>W_3>W_2$$ 4. $$W_1<W_2<W_3$$

Subtopic: Â Gravitational Potential Energy |
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NEET - 2022
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The work done by a force  $$F=2x^2$$ (newton) in a displacement from $$x=0$$ (origin) to $$x=3$$ m is:
1. $$54$$ J
2. $$27$$ J
3. $$18$$ J
4. $$9$$ J
Subtopic: Â Work Done by Variable Force |
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A particle with total energy $$E$$ is moving in a potential energy region $$U(x).$$ The motion of the particle is restricted to the region where:
1. $$U(x)<E$$
2. $$U(x)=0$$
3. $$U(x)\leq E$$
4. $$U(x)> E$$
Subtopic: Â Conservation of Mechanical Energy |
From NCERT
NEET - 2013
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A force of $$100$$ N acts on a block, always acting opposite to its velocity. The block moves from $$x=4$$ m to $$x=10$$ m and then to $$x=6$$ m. The work done by the force is:
1.  $$200$$ J
2.  $$-200$$ J
3.  $$1000$$ J
4.  $$-1000$$ J
Subtopic: Â Work done by constant force |
From NCERT
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A particle of mass $$4M$$ kg at rest splits into two particles of mass $$M$$ and $$3M.$$ The ratio of the kinetic energies of mass $$M$$ and $$3M$$ would be:
1. $$3:1$$
2. $$1:4$$
3. $$1:1$$
4. $$1:3$$
Subtopic: Â Collisions |
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NEET - 2022
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The work done by gravity on a projectile of mass $$m$$ fired with a speed $$u$$ at an angle $$\theta$$ to the horizontal, until the time of impact is:

 1 zero 2 $$-\frac12mu^2cos^2\theta$$ 3 $$-\frac12mu^2sin^2\theta$$ 4 $$-\frac12mu^2$$
Subtopic: Â Work done by constant force |
Â 58%
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A car is driven by an engine that delivers constant power (except possibly at the initial instant). If it starts from rest, its displacement varies with time $$(t)$$ as:
1. $$t$$
2. $$\sqrt t$$
3. $$\frac{1}{\sqrt t}$$
4. $$t\sqrt t$$
Subtopic: Â Power |
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A horizontal force $$F$$ acts on a $$2$$ kg block placed on a smooth horizontal plane. It varies with time $$t$$ as shown in the figure. The block is initially at rest.

The work done by the force until $$t=2$$ s, equals:
1. $$6.25$$ J
2. $$4.5$$ J
3. $$2.25$$ J
4. $$1.5$$ J
Subtopic: Â Work Done by Variable Force |
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A block is moved along a horizontal plane by means of a force of constant magnitude of $$5$$ N, but acting at an angle $$\theta$$ which is proportional to the displacement ($$x$$):    $$\theta=\frac{1}{2} x,$$
where $$x$$ is in $$\text{m}$$ and $$\theta$$ is in radians. The work done by this force until the force becomes vertical is:

1. $$5$$ J
2. $$10$$ J
3. $$2.5$$ J
4. $$1.25$$ J
Subtopic: Â Work Done by Variable Force |
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A bullet from a gun is fired on a rectangular wooden block with velocity $$u$$. When bullet travels $$24$$ cm through the block along its length horizontally, velocity of bullet becomes $$u/3$$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
1. $$30$$ cm
2. $$27$$ cm
3. $$24$$ cm
4. $$28$$ cm