Choose the incorrect alternative:

1. Newton's first law is the law of inertia.

2. Newton's first law states that if the net force on a system is zero, the acceleration of any particle of the system is not zero.

3. Action and reaction act simultaneously.

4. The area under the force-time graph is equal to the change in momentum.

Subtopic:  Newton's Laws |
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If two forces (6i^ + 8j^) and (4i^ + 4j^) N are acting on a body of mass 2 kg, then the acceleration produced in the body in m/s2 will be:

1. (5i^ + 6j^)

2. (10i^ + 12j^)

3. (6i^ + 12j^)

4. (2i^ + 3j^)

Subtopic:  Newton's Laws |
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A body of mass 5 kg is acted upon by two perpendicular forces, 8 N and 6 N. The magnitude of the acceleration of the body is:
1.  0.99 ms-2
2.  3 ms-2
3.  2 ms-2
4.  0.77 ms-2

Subtopic:  Newton's Laws |
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The force 'F' acting on a particle of mass 'm' is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from 0 to 8 s is : 
      

1. 24 Ns

2. 20 Ns

3. 12Ns

4. 6 Ns

Subtopic:  Newton's Laws |
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On the application of an impulsive force, a sphere of mass \(500\) g starts moving with an acceleration of \(10\) m/s2. The force acts on it for \(0.5\) s. The gain in the momentum of the sphere will be:

1. \(2.5\) kg-m/s

2. \(5\) kg-m/s

3. \(0.05\) kg-m/s

4. \(25\) kg-m/s

Subtopic:  Newton's Laws |
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Two masses, m1 and m2 are experiencing the same force where m1m2 . The ratio
of their acceleration a1a2 is:
1. 1
2. less than 1
3. greater than 1
4. all the three cases

Subtopic:  Newton's Laws |
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An impulse of 6mj^ is applied to a body of mass m moving with velocity i^ + 2j^ . The final velocity of the body will be:

1. -i^ + 8j^

2.  i^ - 8j^

3. i^ + 8j^

4.  8i^ - j^

Subtopic:  Newton's Laws |
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A 100 kg gun fires a ball of 1 kg horizontally from a cliff at a height of 500 m. It falls on the ground at a distance of 400 m from the bottom of the cliff. The recoil velocity of the gun is (g = 10 m/s)

1. 0.2 m/s

2. 0.4 m/s

3. 0.6 m/s

4. 0.8 m/s

Subtopic:  Newton's Laws |
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An object of mass 3 kg is at rest. Now if a force of F=6t2i^+4tj^ is applied to the object, then the velocity of the object at t = 3 second will be :

1. 18i^+3j^

2. 18i^+6j^

3. 3i^+18j^

4. 18i^+4j^

Subtopic:  Newton's Laws |
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A rigid ball of mass M strikes a rigid wall at 600 and gets reflected without loss of speed, as shown in the figure. The value of the impulse imparted by the wall on the ball will be:
      

1.  Mv

2.  2Mv

3.  Mv/2

4.  Mv/3

Subtopic:  Newton's Laws |
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