A horizontal force \(10~\text N\) is applied to a block \(A\) as shown in figure. The mass of blocks \(A\) and \(B\) are \(2~\text{kg}\) and \(3~\text{kg}\), respectively. The blocks slide over a frictionless surface. The force exerted by block \(A\) on block \(B\) is :
  
1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
Subtopic:  Application of Laws |
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When a body of mass \(m\) just begins to slide as shown, match List-I with List-II:

List-I List-II
(a) Normal reaction (i) \(P\)
(b) Frictional force \((f_s)\) (ii) \(Q\)
(c) Weight \((mg)\) (iii) \(R\)
(d) \(mg \mathrm{sin}\theta ~\) (iv) \(S\)

  
Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (ii) (i) (iii) (iv)
2. (iv) (ii) (iii) (i)
3. (iv) (iii) (ii) (i)
4. (ii) (iii) (iv) (i)
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A ball of mass \(0.15~\text{kg}\) is dropped from a height \(10~\text{m}\), strikes the ground, and rebounds to the same height. The magnitude of impulse imparted to the ball is \((g=10 ~\text{m}/\text{s}^2)\) nearly:
1. \(2.1~\text{kg-m/s}\)
2. \(1.4~\text{kg-m/s}\)
3. \(0~\text{kg-m/s}\)
4. \(4.2~\text{kg-m/s}\)

Subtopic:  Application of Laws |
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Two bodies of mass, \(4~\text{kg}\) and \(6~\text{kg}\), are tied to the ends of a massless string. The string passes over a pulley, which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (\(g\)) is:

            

1. \(\dfrac{g}{2}\) 2. \(\dfrac{g}{5}\)
3. \(\dfrac{g}{10}\) 4. \(g\)

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A truck is stationary and has a bob suspended by a light string in a frame attached to the truck. The truck suddenly moves to the right with an acceleration of \(a.\) In the frame of the truck, the pendulum will tilt:

1.  to the left and the angle of inclination of the pendulum with the vertical is \(\text{sin}^{-1} \left( \dfrac{a}{g} \right )\)
2.  to the left and the angle of inclination of the pendulum with the vertical is \(\text{cos}^{-1} \left ( \dfrac{a}{g} \right )\)
3.  to the left and the angle of inclination of the pendulum with the vertical is \(\text{tan}^{-1} \left ( \dfrac{a}{g} \right )\)
4.  to the left and the angle of inclination of the pendulum with the vertical is \(\text{tan}^{-1} \left ( \dfrac{g}{a} \right )\)
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