If two forces \(\left(6 \hat{i}+8\hat j\right)\) and \(\left(4 \hat{i}+4\hat j \right)\)N are acting on a body of mass \(2\) kg, then the acceleration produced in the body (in \(\text{m/s}^{2}\)) will be:
1. \(\left(5 \hat{i}+6\hat j\right)\)
2. \(\left(10 \hat{i}+12\hat j\right)\)
3. \(\left(6 \hat{i}+12\hat j\right)\)
4. \(\left(2 \hat{i}+3\hat j\right)\)

Subtopic:  Newton's Laws |
 83%
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The friction between the front foot and the back foot when walking on a horizontal surface is, respectively:

1. Forward, forward

2. Backward, backward

3. Forward, backward

4. Backward, forward

Subtopic:  Friction |
From NCERT
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A simple pendulum hangs from the roof of a train moving on horizontal rails. If the string is inclined towards the front of the train, then the train is:

1. moving with constant velocity.
2. in accelerated motion.
3. in retarded motion.
4. at rest.
Subtopic:  Application of Laws |
 74%
From NCERT
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A block of mass \(M\) is pulled by a force \(F\), making an angle \(\theta\) with the horizontal on a smooth horizontal surface as shown. If \(a\) is the acceleration of block on the surface, then the contact force between the block and the surface will be:
        
1. \(Mg+ Ma\cos\theta\)
2. \(Mg- Ma\cos\theta\)
3. \(Mg+ Ma\tan\theta\)
4. \(Mg- Ma\tan\theta\)

Subtopic:  Application of Laws |
 50%
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A body of mass \(m\) is moving on a concave bridge \(ABC\) of the radius of curvature \(R\) at a speed \(v\). The normal reaction of the bridge on the body at the instant it is at the lowest point of the bridge is:

                            
1. \(mg-\frac{mv^{2}}{R}\)
2. \(mg+\frac{mv^{2}}{R}\)
3. \(mg\)
4. \(\frac{mv^{2}}{R}\)

Subtopic:  Uniform Circular Motion |
 73%
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A block \(B\) of mass \(3\) kg is kept on block \(A\) of mass \(5\) kg in a lift accelerating upward with an acceleration of \(g.\) The reaction by \(A\) on \(B\) is:

     
                                                 

1. \(10g\) 2. \(16g\)
3. \(4g\) 4. \(6g\)

Subtopic:  Application of Laws |
 54%
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If the force acting on a system is zero, the quantity which remains constant is:

1. Force 2. Linear momentum
3. Speed 4. Kinetic energy
Subtopic:  Newton's Laws |
 71%
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Two blocks, \(A\) and \(B\), of masses \(2m\) and \(4m\) are connected by a string. The block of mass \(4m\) is connected by a spring (massless). The string is suddenly cut. The ratio of the magnitudes of accelerations of masses \(2m\) and \(4m\) at that instant will be:

   

1. \(1:2\) 2. \(2:1\)
3. \(1:4\) 4. \(4:1\)
Subtopic:  Spring Force |
 66%
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The reading of spring balance in the depicted figure will be:

         

1. \(0\) N 2. \(20\) N
3. \(10\) N 4. \(5\) N
Subtopic:  Spring Force |
 55%
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The angle of banking for a cyclist taking a turn at a curve is given by \(\tan\theta   =   \frac{v^{n}}{rg}\) where symbols have their usual meaning. The value of \(n\) is:

1. \(1\)

2. \(2\)

3. \(3\)

4. \(4\)
Subtopic:  Banking of Roads |
 91%
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