A car of mass \(m\) is moving on a level circular track of radius \(R\). If \(\mu_s\) represent the static friction between the road and tyres of the car, then the maximum speed of the car in circular motion is given by:

1. \(\sqrt{\mu_{s} mRg} \) 2. \(\sqrt{Rg / \mu_{s}}\)
3. \(\sqrt{mRg / \mu_{s}} \) 4. \(\sqrt{\mu_{s} {Rg}}\)

Subtopic:  Uniform Circular Motion |
 87%
From NCERT
NEET - 2012
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A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration 1.0 m/s2. If g=10 m/s2, the tension in the supporting cable is:

1. 9680 N

2. 11000 N

3. 1200 N

4. 8600 N

Subtopic:  Application of Laws |
 89%
From NCERT
NEET - 2011
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Two masses of 10 kg and 20 kg respectively are connected by massless spring as shown in the figure. A force of 200 N acts on the 20 kg mass. At the instant shown the 10 kg mass has acceleration 12 m/s2. What is the acceleration of 20 kg mass?

1. 12 m/s2

2. 4 m/s2

3. 10 m/s2

4. zero

Subtopic:  Spring Force |
 83%
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The slope of a smooth banked horizontal surface road is p. If the radius of the curve be rthe maximum velocity with which a car can negotiate the curve is given by

(a) prg

(b) prg

(c) p/rg

(d) p/rg

Subtopic:  Banking of Roads |
 88%
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The angle of banking at the turning of a road does not depend upon the

(a) Mass of vehicle

(b) Acceleration due to gravity

(c) The velocity of the vehicle

(d) Radius of the curved path

Subtopic:  Banking of Roads |
 82%
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A block of mass m is in contact with the cart C as shown in the figure.

The coefficient of static friction between the block and the cart is μ.The acceleration α of the cart that will prevent the block from falling satisfies

1. α>mgμ                                       2. α>gμm

3. αgμ                                          4. α<gμ

Subtopic:  Pseudo Force |
 78%
NEET - 2010
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A gramophone record is revolving with an angular velocity ω. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is μ. The coin will revolve with the record if: 

1. r=μgω2                                       2. r<ω2μg

3. rμgω2                                         4. rμgω2

Subtopic:  Uniform Circular Motion |
 66%
From NCERT
NEET - 2010
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The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, its acceleration is:

(a) 30 ms-2 downwards                                       (b) 4 ms-2 upwards

(c) 4 ms-2 downwards                                         (d) 14 ms-2 upwards

Subtopic:  Application of Laws |
 78%
From NCERT
NEET - 2009
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A body, under the action of a force F=6i^-8j^+10k^, acquires an acceleration of 1ms-2. The mass of this body must be

(1) 2010kg                                   

(2) 10kg

(3) 20kg                                         

(4) 102kg                                

Subtopic:  Newton's Laws |
 89%
From NCERT
NEET - 2009
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Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is 

(a) 0.5N

(b) 1.5N

(c) 34 N

(d) 3N

Subtopic:  Application of Laws |
 56%
From NCERT
NEET - 2008
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