A mass of $$0.5$$ kg moving with a speed of $$1.5$$ m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant $$k=50$$ N/m. The maximum compression of the spring would be:

1. $$0.12$$ m
2. $$1.5$$ m
3. $$0.5$$ m
4. $$0.15$$ m

Subtopic:  Elastic Potential Energy |
80%
From NCERT
AIPMT - 2004
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 block of mass m initially at rest, is dropped from a height h onto a spring of force constant k. If the maximum compression in the spring is x, then:

1. $mgh=\frac{1}{2}k{x}^{2}$

2. $mg\left(h+x\right)=\frac{1}{2}k{x}^{2}$

3. $mgh=\frac{1}{2}k{\left(x+h\right)}^{2}$

4. $mg\left(h+x\right)=\frac{1}{2}k{\left(x+h\right)}^{2}$

Subtopic:  Elastic Potential Energy |
79%
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 block of mass 2 kg moving with a velocity of 10 m/s on a smooth surface hits a spring of force constant $80×{10}^{3}$ N/m as shown. The maximum compression in the spring will be:

 1 5 cm 2 10 cm 3 15 cm 4 20 cm
Subtopic:  Elastic Potential Energy |
80%
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 spring 40 mm long is stretched by the application of force. If 10 N force is required to stretch the spring through 1 mm, then work done to stretch the spring 40 mm is equal to:

 1 84 J 2 68 J 3 23 J 4 8 J
Subtopic:  Elastic Potential Energy |
70%
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

When a spring is subjected to 4 N force, its length is a metre and if 5 N is applied, its length is b metre. If 9 N is applied, its length will be:

1.  4b – 3a

2.  5b – a

3.  5b – 4a

4.  5b – 2a

Subtopic:  Elastic Potential Energy |
69%
From NCERT
AIPMT - 1999
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 block of mass $$\text M$$ moving on the frictionless horizontal surface collides with the spring of spring constant $$\text K$$and compresses it by length $$\text L$$. The maximum momentum of the block after the collision will be:

 1 Zero 2 $$ML^2 \over K$$ 3 $$\sqrt{MK}~L$$ 4 $$KL^2 \over 2M$$
Subtopic:  Elastic Potential Energy |
68%
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

If two springs, A and B $\left({K}_{A}$ $=$ $2$ ${K}_{B}\right),$ are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:
1.  1 : 2
2.  2 : 1
3.  1 : 1
4.  1 : 4

Subtopic:  Elastic Potential Energy |
63%
From NCERT
AIPMT - 1999
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 weight 'mg' is suspended from a spring. The energy stored in the spring is U. The elongation in the spring is:

1.  $\frac{2\mathrm{U}}{\mathrm{mg}}$

2.  $\frac{\mathrm{U}}{\mathrm{mg}}$

3.  $\frac{\sqrt{2}\mathrm{U}}{\mathrm{mg}}$

4.  $\frac{\mathrm{U}}{\sqrt{2}\mathrm{mg}}$

Subtopic:  Elastic Potential Energy |
62%
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 springs of spring constants k and 3k are stretched separately by the same force. The ratio of potential energy stored in them respectively, will be:

 1 3: 1 2 9: 1 3 1: 3 4 1: 9

Subtopic:  Elastic Potential Energy |
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 vertical spring with a force constant $$k$$ is fixed on a table. A ball of mass $$m$$ at a height $$h$$ above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance $$d$$. The net work done in the process is:
1. $$mg(h+d)+\frac{1}{2}kd^2$$
2. $$mg(h+d)-\frac{1}{2}kd^2$$
3. $$mg(h-d)-\frac{1}{2}kd^2$$
4. $$mg(h-d)+\frac{1}{2}kd^2$$

Subtopic:  Elastic Potential Energy |
64%
From NCERT
AIPMT - 2007
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints