A force \(F\) is applied to a system of two blocks: as shown in the figure. There is no friction between the lower block and the table. Due to friction between the blocks of masses \(m\) and \(M,\) they move together through a distance \(x.\)
Then work done by \(F\) on \(m\) is:
| 1. | \(\dfrac{Fx}{2}\) | 2. | \(\dfrac{m}{m+M}Fx\) |
| 3. | \(\dfrac{M}{M+m}Fx\) | 4. | none of the above |
| Statement I: | The magnitude of the momentum of a body is directly proportional to its kinetic energy. |
| Statement II: | Kinetic energy increases whenever an external force acts on a moving body. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
| 1. | \(W_F=W_f\) |
| 2. | \(W_F>W_f\) |
| 3. | \(W_F<W_f\) |
| 4. | any of the above may be true depending on the coefficient of friction. |