# Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05. (  mass of the string is negligible and no other friction exists ).            1. 1.25  2. 1.50   3. 1.66  4. 1.00

Subtopic:  Friction |
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A car of mass m is moving on a level circular track of radius R. If ${\mu }_{s}$ represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by -

1. $\sqrt{Rg/{\mu }_{s}}$

2. $\sqrt{mRg/{\mu }_{s}}$

3. $\sqrt{{\mu }_{s}Rg}$

4.  $\sqrt{{\mu }_{s}mRg}$

Subtopic:  Friction |
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A conveyor belt is moving at a constant speed of 2 m/s. A box is gently dropped on it. The coefficient of friction between them is µ = 0.5. The distance that the box will move relative to the belt before coming to rest on it, taking g = 10 ms–2 is:

1. 0.4 m

2. 1.2 m

3. 0.6 m

4. Zero

Subtopic:  Friction |
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A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will

1. decrease by a factor of 2
2. remain constant
3. increase by a factor of 2
4. increase by a factor of 4

Subtopic:  Non Uniform Vertical Circular Motion |
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A point mass 'm' is moved in a vertical circle of radius 'r' with the help of a string. The velocity of the mass is $\sqrt{7\mathrm{gr}}$ at the lowest point. The tension in the string at the lowest point is:

1. 6mg

2. 7mg

3. 8mg

4. 1mg

Subtopic:  Non Uniform Vertical Circular Motion |
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Two masses as shown are suspended from a massless pulley. Calculate the acceleration of the system when masses are left free.

1. 2g/3

2. g/3

3. g/9

4. g/7

Subtopic:  Application of Laws |
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A body of mass 3 kg hits a wall at an angle of 60º & returns at the same angle. The impact time was 0.2 s. Calculate the force exerted on the wall.

1. 150 $\sqrt{3}$ N

2. 50 $\sqrt{3}$ N

3. 100 N

4. 75 $\sqrt{3}$ N

Subtopic:  Application of Laws |
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A mass of 1 kg is thrown up with a velocity of 100 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity of 25 m/s. Calculate the velocity of the other part.

1. 40 m/s upward

2. 40 m/s downward

3. 100 m/s upward

4. 60 m/s downward

Subtopic:  Application of Laws |
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A mass is performing a vertical circular motion. (see figure) If the average velocity of the particle is increased, then at which point the string will break ?

1. A

2. B

3. C

4. D

Subtopic:  Non Uniform Vertical Circular Motion |
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If force F = 500 – 100t, then function of impulse with time will be :
1.  500t – 50${t}^{2}$
2.  50t – 10
3.  50 – ${t}^{2}$
4.  100 ${t}^{2}$

Subtopic:  Application of Laws |
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