A body of mass 2 kg moving with a velocity of $\left(\stackrel{^}{\mathrm{i}}+$ $2\stackrel{^}{\mathrm{j}}-$ $3\stackrel{^}{\mathrm{k}}\right)$ ms${}^{-1}$ collides with another body of mass 3 kg moving with a velocity of $\left(2\stackrel{^}{\mathrm{i}}+$ $\stackrel{^}{\mathrm{j}}+$ $\stackrel{^}{\mathrm{k}}\right)$ ms${}^{-1}$ . If they stick together, the velocity in ms${}^{-1}$ of the composite body will be:

1. $\frac{1}{5}\left(8\stackrel{^}{i}+$ $7\stackrel{^}{j}-$ $3\stackrel{^}{k}\right)$

2. $\frac{1}{5}\left(-4\stackrel{^}{i}+$ $\stackrel{^}{j}-$ $3\stackrel{^}{k}\right)$

3. $\frac{1}{5}\left(8\stackrel{^}{i}+ \stackrel{^}{\mathrm{j}}-$ $\stackrel{^}{\mathrm{k}}\right)$

4. $\frac{1}{5}\left(-4\stackrel{^}{i}+$ $7\stackrel{^}{j}-$ $3\stackrel{^}{k}\right)$

Subtopic:  Collisions |
83%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Two equal masses, $$m_1$$ and $$m_2,$$ moving in the same straight line at velocities +3 m/s and –5 m/s respectively, collide elastically. Their velocities after the collision will be:

1. +4 m/s for both

2. –3 m/s and +5 m/s

3. –4 m/s and +4 m/s

4. –5 m/s and +3 m/s

Subtopic:  Collisions |
81%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A smooth sphere of mass M, moving with velocity u, directly collides elastically with another sphere of mass m at rest. After the collision, their final velocities are V and v, respectively. The value of v is:

1. $$\frac{2 um}{m}$$

2. $$\frac{2 um}{M}$$

3. $$\frac{2 u}{1 + {m \over M}}$$

4. $$\frac{2 u}{1 + {M \over m}}$$

Subtopic:  Collisions |
71%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Which of the following remains unchanged (for the system) during an inelastic collision?

 1 Mechanical energy 2 Kinetic energy 3 Momentum 4 All of the above.
Subtopic:  Collisions |
76%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A car of mass 100 kg and traveling at 20 m/s collides with a truck weighing 1 tonne traveling at 9 km/h in the same direction. The car bounces back at a speed of 5 m/s. The speed of the truck after the impact will be:

1.  11.5 m/s

2.  5 m/s

3.  18 m/s

4.  12 m/s

Subtopic:  Collisions |
69%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body of mass 2 kg moving with a velocity of 3 m/s collides with a body of mass of 1 kg moving with a velocity of 4 m/s in the opposite direction. If the collision is head-on and completely inelastic, then the wrong statement is:

1. Both bodies move together with a velocity (2/3) m/s.

2. The momentum of the system is 2 kg-m/s throughout.

3. The momentum of the system is 10 kg-m/s.

4. The loss of KE for the system is (49/3) J.

Subtopic:  Collisions |
66%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

On a frictionless surface, a block of mass $$M$$ moving at speed $$v$$ collides elastically with another block of the same mass $$M$$ which is initially at rest. After the collision, the first block moves at an angle $$\theta$$ to its initial direction and has a speed $$\frac{v}{3}$$. The second block’s speed after the collision will be:

 1 $$\frac{2\sqrt{2}}{3}v$$ 2 $$\frac{3}{4}v$$ 3 $$\frac{3}{\sqrt{2}}v$$ 4 $$\frac{\sqrt{3}}{2}v$$
Subtopic:  Collisions |
66%
From NCERT
NEET - 2015
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body of mass m moving at a certain speed suffers a perfectly inelastic collision with a body of mass M at rest. The ratio of the final kinetic energy of the system to the initial kinetic energy will be:

 1 $$m \over {m + M}$$ 2 $$M \over {m + M}$$ 3 $${m + M} \over m$$ 4 $${m + M} \over M$$
Subtopic:  Collisions |
61%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Five balls are placed one after another along a straight line as shown in the figure. Initially, all the balls are at rest. Then the second ball is projected with speed ${\mathrm{v}}_{0}$ towards the third ball. Mark the correct statement(s). (Assume all collisions to be head-on and elastic):

1. The total number of collisions in the process is 5.

2. The velocity of separation between the first and fifth ball after the last possible collision is ${\mathrm{v}}_{0.}$

3. Finally, three balls remain stationary.

4. All of the above are correct.

Subtopic:  Collisions |
59%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A stone is projected from a horizontal plane. It attains maximum height, 'H', and strikes a stationary smooth wall & falls on the ground vertically below the maximum height. Assuming the collision to be elastic, the height of the point on the wall where the ball will strike will be:

 1 $$\frac{H}{2}$$ 2 $$\frac{H}{4}$$ 3 $$\frac{3 H}{4}$$ 4 None of these
Subtopic:  Collisions |
53%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints