A block of mass 10 kg is placed on a rough horizontal surface with a coefficient of friction µ = 0.5. If a horizontal force of 100 N acts on the block, then the acceleration of the block will be: 

1. 10 m/s2

2. 5 m/s2

3. 15 m/s2

4. 0.5 m/s2

Subtopic:  Friction |
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AIPMT - 2002
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The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius R and coefficient of static friction μ, is 

1. μRg

2. Rgμ

3. μRg

4. μRg

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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. \(\sqrt{\dfrac{Rg}{\mu_s} }\) 2. \(\sqrt{\dfrac{mRg}{\mu_s}}\)
3. \(\sqrt{\mu_s Rg}\) 4. \(\sqrt{\mu_s m Rg}\)
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AIPMT - 2012
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A body moving horizontally has an initial speed of \(20\) m/s. Due to friction, the body stops after \(5\) s. If the mass of the body is \(5\) kg, the coefficient of friction is: (Take \(g=10\) m/s2)
1. \(0.1\) 2. \(0.2\)
3. \(0.3\) 4. \(0.4\)
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A \(2\) kg brick begins to slide over a surface which is inclined at an angle of \(45°\) with respect to horizontal axis. The co-efficient of static friction between their surfaces is –
1.  \(1\)
2. \(0.5\)
3. \(1.7\)
4. \(\frac{1}{\sqrt{3}}\)
Subtopic:  Friction |
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Given below are two statements: 
Assertion (A): It is difficult to move a bicycle along a road with its brakes on.
Reason (R): When a bicycle moves with its brakes on, it skids and sliding friction is greater than rolling friction.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Friction |
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What is the maximum acceleration of a train that allows a box resting on its floor to remain stationary? (given that the coefficient of static friction between the box and the train's floor is \(0.2,\) and the acceleration due to gravity is \(10\) ms-2)
1. zero
2. \(1.0\) ms-2
3. \(2.0\) ms-2
4. \(4.0\) ms-2
Subtopic:  Friction |
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The rope and pulley are ideal and there is no friction anywhere except between the \(10~\text{kg}\)-block and the horizontal plane, where \(\mu\) (coefficient of friction)\(=0.2.\) Take \(g=10~\text{m/s}^2,\) if required.
           
What is the maximum mass \(m\) (shown) that can be suspended from the string so that the system does not move?
1. \(m=10~\text{kg}\)    2. \(m=2~\text{kg}\)   
3. \(m=12~\text{kg}\) 4. \(m=8~\text{kg}\)
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A \(2~\text{kg}\) box is resting on a horizontal floor. A horizontal force of \(30~\text{N}\) is applied to the box, but it does not move. The coefficient of static friction is: (take \(g=10~\text{m/s}^2\))
1. \(\dfrac{2}{3}\) 2. \(\dfrac{3}{2}\)
3. \(\dfrac{1}{2}\) 4. \(\dfrac{1}{3}\)
Subtopic:  Friction |
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A box rests on the floor of a train. The coefficient of static friction between the box and the floor is \(0.25.\) What is the maximum acceleration the train can have without causing the box to slip? \((\text{take}~g= 10 ~\text{ms}^{-2})\)
1. \(10 ~\text{ms}^{-2}\) 2. \(0.25 ~\text{ms}^{-2}\)
3. \(2.5 ~\text{ms}^{-2}\) 4. \(25 ~\text{ms}^{-2}\)
Subtopic:  Friction |
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