Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be 

1. Mv newton 

2. 2 Mv newton 

3. Mv2newton 

4. zero

Concept Questions :-

Variable mass system
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A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be 

1.  2 mv

2. mv/2

3. mv2

4. zero 

 

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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

Concept Questions :-

Application of laws
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A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20m. The speed of the car at the top of the hill is between

1. 14m/s and 15m/s

2. 15m/s and 16m/s

3. 16m/s and 17m/s

4. 13m/s and 14m/s

Concept Questions :-

Non-Uniform vertical circular motion
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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

(a) 2010kg                                   (b) 10kg

(c) 20kg                                          (d) 102kg                                

Concept Questions :-

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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

Concept Questions :-

Types of forces
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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

Concept Questions :-

Uniform circular motion
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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

Concept Questions :-

Pseudo force
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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. 1.2 m                                            2. 0.6 m

3. zero                                               4. 0.4 m

Concept Questions :-

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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

Concept Questions :-

Types of forces
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