A graph is plotted by taking kinetic energy along the \(\mathrm{y}\)-axis and speed along the \(\mathrm{x}\)-axis for a constant mass. The slope of the graph at an instant represents:
| 1. | mass | 2. | velocity |
| 3. | momentum | 4. | acceleration |
| Assertion (A): | Work done by friction on a body sliding down an inclined plane is negative. |
| Reason (R): | Work done is less than zero if the angle between force and displacement is acute or both are in the same direction. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |

| 1. | \(\dfrac{W_F}{M}=\dfrac{W_m}{m}\) | 2. | \(W_F\cdot M=W_m\cdot m\) |
| 3. | \(\dfrac{W_F}{M+m}=\dfrac{W_m}{m}\) | 4. | \(\dfrac{W_F}{M}=\dfrac{W_m}{m+M}\) |
| 1. | \(12\) J | 2. | \(16\) J |
| 3. | \(0\) | 4. | \(4\) J |
A force \(F\) acting on an object varies with distance \(x\) as shown below:
The force is in Newton and \(x\) is in meters. The work done by the force in moving the object from \(x = 0\) to \(x = 6\) m is:
| 1. | \(18.0\) J | 2. | \(13.5\) J |
| 3. | \(4.5\) J | 4. | \(9.0\) J |