# Two bodies $$A$$ and $$B$$ of same mass undergo completely inelastic one dimensional collision. The body $$A$$ moves with velocity $$v_1$$ while body $$B$$ is at rest before collision. The velocity of the system after collision is $$v_2$$. The ratio $$v_1:v_2$$ is: 1. $$2:1$$ 2. $$4:1$$ 3. $$1:4$$ 4. $$1:2$$

Subtopic:  Collisions |
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NEET - 2024
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At any instant of time $$t$$, the displacement of any particle is given by $$2t-1$$ (SI unit) under the influence of force of $$5~\text N$$. The value of instantaneous power is (in SI unit):
1. $$5$$
2. $$7$$
3. $$6$$
4. $$10$$
Subtopic:  Power |
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NEET - 2024
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Object $$A$$ has half the kinetic energy as that of object $$B.$$ The object $$B$$ has half the mass as that of the object $$A.$$ The object $$A$$ speeds up by $$1~\text{ms}^{-1}$$ and then has the same kinetic energy as that of object $$B.$$ The initial speed of object $$A$$ is nearly
(Take $$\sqrt2\cong1.4$$):
1. $$0.5~\text{ms}^{-1}$$
2. $$1~\text{ms}^{-1}$$
3. $$2.5~\text{ms}^{-1}$$
4. $$4.8~\text{ms}^{-1}$$
Subtopic:  Work Energy Theorem |
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NEET - 2024
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A particle is displaced through $$(3 \hat{i}+4 \hat{j})~\text{m}$$ by force $$2 \hat{i}~\text{N}$$. The work done is:
1. $$14~\text{J}$$
2. $$8~\text{J}$$
3. $$6~\text{J}$$
4. $$10~\text{J}$$
Subtopic:  Work done by constant force |
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NEET - 2024
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An object moving along a horizontal $$x\text-$$direction with kinetic energy $$10~\text J$$ is displaced through $$x=\left(3\hat{i}\right)\text{m}$$ by the force $$\vec{{{F}}}=\left(-2\hat{i}+3\hat{j}\right)~\text N.$$ The kinetic energy of the object at the end of the displacement $$x$$ is:
 1 $$10~\text J$$ 2 $$16~\text J$$ 3 $$4~\text J$$ 4 $$6~\text J$$
Subtopic:  Work Energy Theorem |
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NEET - 2024
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An object falls from a height of $$10~\text m$$ above the ground. After striking the ground it loses $$50\%$$ of its kinetic energy. The height up to which the object can re-bounce from the ground is:
 1 $$7.5~\text m$$ 2 $$10~\text m$$ 3 $$2.5~\text m$$ 4 $$5~\text m$$
Subtopic:  Gravitational Potential Energy |
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From NCERT
NEET - 2024
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A particle moves with a velocity $$(5\hat i-3\hat j+6\hat k)$$ ms–1 horizontally under the action of constant force $$(10\hat i+10\hat j+20\hat k)$$ N. The instantaneous power supplied to the particle is:
1. $$200$$ W
2. zero
3. $$100$$ W
4. $$140$$ W
Subtopic:  Power |
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From NCERT
NEET - 2023
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A bullet of mass $$m$$ hits a block of mass $$M$$ elastically. The transfer of energy is the maximum, when:
1. $$M=m$$
2. $$M=2m$$
3. $$M\ll m$$
4. $$M\gg m$$
Subtopic:  Collisions |
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From NCERT
NEET - 2023
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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
Subtopic:  Work Energy Theorem |
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From NCERT
NEET - 2023
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The potential energy of a long spring when stretched by $$2$$ cm is $$U$$. If the spring is stretched by $$8$$ cm, potential energy stored in it will be:
 1 $$16U$$ 2 $$2U$$ 3 $$4U$$ 4 $$8U$$
Subtopic:  Elastic Potential Energy |
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From NCERT
NEET - 2023
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