A car of mass 1000 kg negotiates a banked curve of radius 90m on a frictionless road. If the banking angle is 45°,the speed of the car is 

1. 20 ms-1                                             2. 30 ms-1

3. 5 ms-1                                               4. 10 ms-1

Subtopic:  Friction |
 87%
From NCERT
NEET - 2012
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A car of mass m is moving on a level circular track of radius R. If μs 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. \(\sqrt{\mu_{\mathrm{s}} \mathrm{mRg}} \) 2. \(\sqrt{\mathrm{Rg} / \mu_{\mathrm{s}}}\)
3. \(\sqrt{\mathrm{mRg} / \mu_{\mathrm{s}}} \) 4. \(\sqrt{\mu_{\mathrm{s} \mathrm{Rg}}}\)
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 |
 82%
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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 |
 65%
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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