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 |
 86%
Level 1: 80%+
NEET - 2024
Hints

An object of mass \(500~\text g\) initially at rest is acted upon by a variable force whose \(x\)-component varies with \(x\) in the manner shown. The velocities of the object at the points \(x=8~\text m\) and \(x=12~\text m\) would have the respective values of nearly:

           

1. \(18~\text {m/s}\)  and \(22.4~\text {m/s}\)  2. \(23~\text {m/s}\)  and \(22.4~\text {m/s}\) 
3. \(23~\text {m/s}\)  and \(20.6~\text {m/s}\)  4. \(18~\text {m/s}\)  and \(20.6~\text {m/s}\) 
Subtopic:  Work Done by Variable Force |
 60%
Level 2: 60%+
NEET - 2019
Hints
Links

A force \(F = (20 + 10 y)\) acts on a particle in the \(y\)-direction where \(F\) is in Newton and \(y\) is in metre. The work done by this force to move the particle from \(y =0\) to \(y =1~\text m\) is:
1. \(20~\text{J}\)
2. \(30~\text{J}\)
3. \(5~\text{J}\)
4. \(25~\text{J}\)
Subtopic:  Work Done by Variable Force |
 77%
Level 2: 60%+
NEET - 2019
Hints
Links

advertisementadvertisement

The kinetic energies of two similar cars \(A\) and \(B\) are \(100~\text J\) and \(225~\text J\) respectively. On applying breaks, car \(A\) stops after \(1000~\text m\) and car \(B\) stops after \(1500~\text m.\) If \(F_A\) and \(F_B\) are the forces applied by the breaks on cars \(A\) and \(B,\) respectively, then the ratio \(\dfrac{F_A}{F_B}\) is:
1. \(\dfrac{1}{3}\)

2. \(\dfrac{1}{2}\)

3. \(\dfrac{3}{2}\)

4. \(\dfrac{2}{3}\)
Subtopic:  Work Energy Theorem |
 60%
Level 2: 60%+
NEET - 2025
Please attempt this question first.
Hints
Please attempt this question first.

An object is moving along the horizontal \(x\text-\)direction with an initial kinetic energy of \(10~\text J.\) It is displaced through \(x=(3\hat{i})~\text{m}\) under the influence of a force \(\vec{{{F}}}=(-2\hat{i}+3\hat{j})~\text N.\) 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 |
 69%
Level 2: 60%+
NEET - 2024
Hints

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 |
 71%
Level 2: 60%+
NEET - 2023
Hints

advertisementadvertisement

Consider a drop of rainwater having a mass of \(1~\text{gm}\) falling from a height of \(1~\text{km}.\) It hits the ground with a speed of \(50~\text{m/s}.\) Take \(g\)  as constant with a value \(10~\text{m/s}^2.\) The work done by the
(i) gravitational force and the (ii) resistive force of air is:

1. \((\text{i})~1.25~\text{J};\) \((\text{ii})~-8.25~\text{J}\)
2. \((\text{i})~100~\text{J};\) \((\text{ii})~8.75~\text{J}\)
3. \((\text{i})~10~\text{J};\) \((\text{ii})~-8.75~\text{J}\)
4. \((\text{i})~-10~\text{J};\) \((\text{ii})~-8.75~\text{J}\)

Subtopic:  Work Energy Theorem |
 72%
Level 2: 60%+
NEET - 2017
Hints
Links

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 |
 68%
Level 2: 60%+
NEET - 2024
Hints

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:  Gravitational Potential Energy |
 87%
Level 1: 80%+
NEET - 2022
Hints

advertisementadvertisement

A mass \(m\) is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:

1. inclined at an angle of \(60^{\circ}\) from vertical.
2. the mass is at the highest point.
3. the wire is horizontal.
4. the mass is at the lowest point.
Subtopic:  Gravitational Potential Energy |
 74%
Level 2: 60%+
NEET - 2019
Hints
Links