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 () and () N are acting on a body of mass 2 kg, then the acceleration produced in the body in $\mathrm{m}/{\mathrm{s}}^{2}$ will be:

1. ()

2. ()

3. ()

4. ()

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, ${\mathrm{m}}_{1}$ and ${\mathrm{m}}_{2}$ are experiencing the same force where ${\mathrm{m}}_{1}$${\mathrm{m}}_{2}$ . The ratio
of their acceleration $\frac{{\mathrm{a}}_{1}}{{\mathrm{a}}_{2}}$ 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 6m$\stackrel{^}{\mathrm{j}}$ is applied to a body of mass m moving with velocity  . The final velocity of the body will be:

1.

2.

3.

4.

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 $\stackrel{\to }{\mathrm{F}}=6{\mathrm{t}}^{2}\stackrel{^}{\mathrm{i}}+4\mathrm{t}\stackrel{^}{\mathrm{j}}$ is applied to the object, then the velocity of the object at t = 3 second will be :

1. $18\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}$

2. $18\stackrel{^}{\mathrm{i}}+6\stackrel{^}{\mathrm{j}}$

3. $3\stackrel{^}{\mathrm{i}}+18\stackrel{^}{\mathrm{j}}$

4. $18\stackrel{^}{\mathrm{i}}+4\stackrel{^}{\mathrm{j}}$

Subtopic:  Newton's Laws |
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A rigid ball of mass M strikes a rigid wall at ${60}^{0}$ 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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