# A block of mass $$M$$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has a force constant value of $$k$$. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be: 1. $$Mg/k$$ 2. $$2Mg/k$$ 3. $$4Mg/k$$ 4. $$Mg/2k$$

Subtopic:  Elastic Potential Energy |
70%
From NCERT
AIPMT - 2009
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Water falls from a height of $$60$$ m at a rate of $$15$$ kg/s to operate a turbine. The losses due to frictional forces are $$10$$% of energy. How much power is generated by the turbine? ($$g=10$$ m/s2)
1. $$8.1$$ kW
2. $$10.2$$ kW
3. $$12.3$$ kW
4. $$7.0$$ kW
Subtopic:  Power |
81%
From NCERT
AIPMT - 2008
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A shell of mass 200 g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is:

1. 100 ms-1

2. 80 ms-1

3. 40 ms-1

4. 120 ms-1

Subtopic:  Collisions |
57%
From NCERT
AIPMT - 2008
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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 |
65%
From NCERT
AIPMT - 2007
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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, the potential energy stored in it is:
1. $$4U$$
2. $$8U$$
3. $$16U$$
4. $$U/4$$

Subtopic:  Elastic Potential Energy |
78%
From NCERT
AIPMT - 2006
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A body of mass 3 kg is under a constant force which causes a displacement s in metres in it, given by the relation s = $\frac{1}{3}$ t2, where t is in sec. Work done by the force in 2 sec is:

1. $\frac{5}{19}J$

2. $\frac{3}{8}J$

3. $\frac{8}{3}J$

4. $\frac{19}{5}J$

Subtopic:  Work Done by Variable Force |
77%
From NCERT
AIPMT - 2006
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$$300 ~\text{J}$$ of work is done in sliding a $$2~\text{kg}$$ block up an inclined plane of height $$10~\text{m}$$. Taking $$g=$$ $$10$$ m/s2, work done against friction is:
1. $$200 ~\text{J}$$
2. $$100 ~\text{J}$$
3. $$\text{zero}$$
4. $$1000 ~\text{J}$$

Subtopic:  Work Done by Variable Force |
71%
From NCERT
AIPMT - 2006
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Body $$\mathrm{A}$$ of mass $$4m$$ moving with speed $$u$$ collides with another body $$\mathrm{B}$$ of mass $$2m$$ at rest. The collision is head-on and elastic in nature. After the collision, the fraction of energy lost by the colliding body $$\mathrm{A}$$ is:

 1 $$\dfrac{5}{9}$$ 2 $$\dfrac{1}{9}$$ 3 $$\dfrac{8}{9}$$ 4 $$\dfrac{4}{9}$$
Subtopic:  Collisions |
64%
From NCERT
NEET - 2019
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When an object is shot from the bottom of a long, smooth inclined plane kept at an angle of $$60^\circ$$ with horizontal, it can travel a distance $$x_1$$ along the plane. But when the inclination is decreased to $$30^\circ$$ and the same object is shot with the same velocity, it can travel $$x_2$$ distance. Then $$x_1:x_2$$ will be:
1. $$1:2\sqrt{3}$$
2. $$1:\sqrt{2}$$
3. $$\sqrt{2}:1$$
4. $$1:\sqrt{3}$$

Subtopic:  Conservation of Mechanical Energy |
73%
From NCERT
NEET - 2019
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A force $$F = (20 + 10 y)$$ acts on a particle in the $$y$$-direction where $$F$$ is in Newton and $$y$$ is in meter. Work done by this force to move the particle from $$y =0$$ to $$y =1$$ m is:
1. $$20~\text{J}$$
2. $$30~\text{J}$$
3. $$5~\text{J}$$
4. $$25~\text{J}$$
Subtopic:  Work Done by Variable Force |
75%
From NCERT
NEET - 2019
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