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Q. No.A body of mass \(m\) starts moving from rest along the \(x\text{-axis}\) so that its velocity varies as \(v = a \sqrt s\) where \(a\) is a constant and \(s\) is the distance covered by the body. The total work done by all the forces acting on the body in the first \(t\) seconds after the start of the motion is:
1. \(8ma^4 t^ 2\)
2. \(\frac{1} {4} ma^4 t^ 2\)
3. \(4ma^4 t ^2\)
4. \(\frac{1} {8} ma^4 t^ 2\)
1. \(8ma^4 t^ 2\)
2. \(\frac{1} {4} ma^4 t^ 2\)
3. \(4ma^4 t ^2\)
4. \(\frac{1} {8} ma^4 t^ 2\)
Subtopic: Concept of Work |
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Two solids \(A\) and \(B\) of mass \(1\) kg and \(2\) kg respectively are moving with equal linear momentum. The ratio of their kinetic energies \((K.E)_A:(K.E)_B\) will be:
1. \(1:2\)
2. \(2:1\)
3. \(1:4\)
4. \(4:1\)
Subtopic: Concept of Work |
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Two particles having masses \(4\) g and \(16\) g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is \(n : 2\). The value of \(n\) will be:
1. \(4\)
2. \(3\)
3. \(2\)
4. \(1\)
Subtopic: Concept of Work |
From NCERT
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Given below are two statements:
| Statement I: | A truck and a car moving with equal kinetic energy are stopped by an equal retarding force. Both will cover equal distances to stop. |
| Statement II: | A car moving towards the east suddenly changes its direction towards the north with the same speed. In this case, its acceleration will be zero. |
| 1. | Both Statement I and Statement II are True. |
| 2. | Both Statement I and Statement II are False. |
| 3. | Statement I is True and Statement II is False. |
| 4. | Statement I is False and Statement II is True. |
Subtopic: Concept of Work |
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From NCERT
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The body of a man \(100~\text{kg}\) travelled \(10~\text{m}\) before coming to rest. If \(\mu=0.4,\) then work done against friction is: (motion is happening on a horizontal surface, take \(g=10~\text{m/s}^2\))
1. \(4500~\text{J}\)
2. \(5000~\text{J}\)
3. \(4200~\text{J}\)
4. \(4000~\text{J}\)
1. \(4500~\text{J}\)
2. \(5000~\text{J}\)
3. \(4200~\text{J}\)
4. \(4000~\text{J}\)
Subtopic: Concept of Work |
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