A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be

1. 5  m

2. 4.8 m

3. 3.2 m

4. 3.0 m

Subtopic:  Relative Motion |
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A particle is projected at an angle θ with horizontal with an initital speed u. When it makes an angle α with horizontal, its speed v is-

1. ucosθ

2. ucosθ ucosα

3. usinθsinα

4. ucosθcosα

 

Subtopic:  Projectile Motion |
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A particle is moving along the path y = x2 from x = 0 m to x = 2 m. Then the distance traveled by the particle is:

1.  4 m

2.  20 m

3.  >20 m

4.  <20 m

Subtopic:  Position & Displacement |
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Six particles situated at the corners of a regular hexagon of side 'a' move at constant speed v. Each particle maintains a direction towards the particle at the next. The time which the particles will take to meet each other is-

1.  2av sec

2.  av sec

3.  2a3v sec

4.  3av sec

Subtopic:  Relative Motion |
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A body is projected with velocity 203 m/s with an angle of projection 60° with horizontal. Calculate velocity on that point where body makes an angle 30° with the horizontal.

1. 20 m/s

2. 203 m/s

3. 103 m/s

4. 10 m/s

Subtopic:  Projectile Motion |
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In a uniform circular motion, which of the following quantity is not constant

1. Angular momentum

2. Speed

3. Kinetic energy

4. Momentum

Subtopic:  Circular Motion |
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A particle is moving with veocity v=k(yi^+xj^); where k is constant. The general equation for the path is:

1. y=x2+constant

2. y2=x2+constant

3. y=x+constant

4. xy=constant

 

Subtopic:  Speed & Velocity |
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A particle is projected with a velocity u making an angle θ with the horizontal. At any instant, its velocity v is at right angles to its initial velocity u; then v is:

1.  ucosθ

2.  utanθ

3.  ucotθ

4.  usecθ

Subtopic:  Projectile Motion |
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A projectile is given an initial velocity of i^+2j^. The cartesian equation of its path is (g = 10 ms-2

1. y=2x-5x2

2. y=x-5x2

3. 4y=2x-5x2

4. y=2x-25x2

Subtopic:  Projectile Motion |
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A ship A is moving westwards with a speed of 10 km h-1 and a ship B, 100 km south of A is moving northwards with a speed of 10 km h-1. The time after which the distance between them becomes the shortest, is:

1. 5 hr

2. 52 hr

3. 102 hr

4. 0 hr

Subtopic:  Relative Motion |
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