A particle of mass 10g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to 8x10-4 J by the end of the second revolution after the beginning of the motion?

(1) 0.15 m/s2

(2) 0.18 m/s2

(3) 0.2 m/s2

(4) 0.1 m/s2

Subtopic:  Circular Motion |
From NCERT
NEET - 2016
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If vectors A = cosωt i^ + sinωt j^ and B = (cosωt/2) i^ + (sinωt/2) j^ are functions of time, then the value of t at which they are orthogonal to each other

1. t=π/4ω
2. t=π/2ω
3. t=π
4. t=0 

 

Subtopic:  Scalar Product |
 54%
From NCERT
NEET - 2015
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A projectile is fired from the surface of the earth with a velocity of 5 m/s and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 m/s at the same angle follows a trajectory, which is identical to the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet (in m/s2) is: [Given, g = 9.8 m/s2]

1. 3.5

2. 5.9

3. 16.3

4. 110.8

 

Subtopic:  Projectile Motion |
 70%
From NCERT
NEET - 2014
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A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2s and (13m, 14m) at time t = 5s. Average velocity vector (vav) from t = 0 to t = 5s is

1. 15(13i^+14j^)

2. 73(i^+j^)

3. 2(i^+j^)

4. 115(i^+j^)

Subtopic:  Speed & Velocity |
 80%
From NCERT
NEET - 2014
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The velocity of a projectile at the initial point A is (2i + 3j) m/s. Its velocity (in m/s) at point B is:


1.  -2i+3j

2.  -2i-3j

3.   2i-3j

4.  2i+3j

Subtopic:  Projectile Motion |
 79%
From NCERT
NEET - 2013
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A particle has an initial velocity (\(2\hat{i}+3\hat{j}\)) and an acceleration (\(0.3\hat{i}+0.2\hat{j}\)). The magnitude of velocity after \(10\) s will be:
1. \(9 \sqrt{2} ~\text{units} \)
2. \(5 \sqrt{2} ~\text{units} \)
3. \(5 ~\text{units} \)
4. \(9~\text{units} \)

Subtopic:  Uniformly Accelerated Motion |
 89%
From NCERT
NEET - 2012
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A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards north. The average acceleration of the body is

(1) 7 m/s2                                             

(2) 7 m/s2

(3) 5 m/s2                                             

(4) 1 m/s2

Subtopic:  Acceleration |
 73%
From NCERT
NEET - 2011
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A missile is fired for maximum range with an initial velocity of 20 m/s. If g=10 m/s2, the range of the missile is:

1. 50 m                                                          2. 60 m

3. 20 m                                                          4. 40 m

Subtopic:  Projectile Motion |
 84%
From NCERT
NEET - 2011
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A projectile is fired at an angle of 45° with the horizontal. The elevation angle α of the projectile at its highest point as seen from the point of projection is:

1. 60°                                           2. tan-112

3. tan-132                               4. 45°

Subtopic:  Projectile Motion |
 62%
From NCERT
NEET - 2011
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The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is:

1. 60°                                         

2. 15°

3. 30°                                         

4. 45°

Subtopic:  Projectile Motion |
 67%
From NCERT
NEET - 2010
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