A rigid body moves a distance of \(10\) m along a straight line under the action of a force of \(5\) N. If the work done by this force on the body is \(25~\text{J}\), the angle which the force makes with the direction of motion of the body is:
| 1. | \(0^{\circ}\) | 2. | \(30^{\circ}\) |
| 3. | \(60^{\circ}\) | 4. | \(90^{\circ}\) |

| 1. | \(0~\text J\) | 2. | \(94~\text J\) |
| 3. | \(186~\text J\) | 4. | \(314~\text J\) |
A body constrained to move in \(y\)-direction is subjected to a force given by \(\vec F=(-2\hat i+15\hat j+6\hat k)\text{ N}.\) The work done by this force in moving the body a distance of \(10\text{ m}\) along the \(y\)-axis is:
1. \(20\text{ J}\)
2. \(150\text{ J}\)
3. \(60\text{ J}\)
4. \(190\text{ J}\)
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
| 1. | \(450~\text J\) | 2. | \(90~\text J\) |
| 3. | \(72~\text J\) | 4. | \(0~\text{J}\) |
It is well known that a raindrop falls under the influence of the downward gravitational force and the opposing resistive force. The latter is known to be proportional to the speed of the drop but is otherwise undetermined. Consider a drop of mass \(1.00\) g falling from a height of \(1.00\) km. It hits the ground with a speed of \(50.0\) m/s. Work done by the gravitational force and work done by the unknown resistive force respectively are:
| 1. | \(-8.75\) J and \(10\) J | 2. | \(10\) J and \(-8.75\) J |
| 3. | \(0\) J and \(2.26\) J | 4. | \(-10\) J and \(-10\) J |
| Column I | Column II | ||
| \(\mathrm{(A)}\) | Work done by force \(F\) on \(2~\text{kg}\) block | \(\mathrm{(I)}\) | \(20\sqrt2\) |
| \(\mathrm{(B)}\) | Work done by tension \((T)\) on \(2~\text{kg}\) block | \(\mathrm{(II)}\) | \(12\) |
| \(\mathrm{(C)}\) | Power due to force \(F,\) finally | \(\mathrm{(III)}\) | \(20\) |
| \(\mathrm{(D)}\) | Final kinetic energy of \(3~\text{kg}\) block | \(\mathrm{(IV)}\) | \(-12\) |
| 1. | A-II, B-II, C-III, D-I |
| 2. | A-III, B-IV, C-I, D-II |
| 3. | A-I, B-IV, C-III, D-II |
| 4. | A-II, B-IV, C-I, D-III |
A horse pulls with a horizontal force \(F\) on a wagon full of belongings (mass \(M\)). Both the horse and the wagon are traveling at a constant speed \(v\) on level ground. How much work (in SI units) is done by gravity on the wagon in time \(\Delta t\)?
| 1. | \(-Mgv\Delta t\) |
| 2. | zero |
| 3. | \(Mgv\Delta t\) |
| 4. | insufficient information to answer |