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 |
81%
From NCERT
AIPMT - 2004
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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
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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
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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 |
70%
From NCERT
AIPMT - 1999
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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
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