Given below are two statements : Statement I: An object moves from position r₁$r_{1}$ to position r₂$r_{2}$ under a conservative force field F$\vec{F}$. The work done by the force is W = -∫_r₁^r₂ F · dr$W = -\int_{r_{1}}^{r_{2}} \vec{F} \cdot \overrightarrow{dr}$. Statement II : Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force. In the light of the above statements, choose the correct answer from the options given below :

Related Formula

Core Logic

By conservation of linear momentum (since no external horizontal force acts on the system):

Both the artillery and the shell acquire the exact same magnitude of momentum during firing.

Step 2: Kinetic Energy Ratio

The kinetic energy is related to momentum by KE = (p²)/(2m)$\text{KE} = \frac{p^2}{2m}$. Since p$p$ is identical for both bodies:

Therefore, the ratio of kinetic energy of the artillery (M₁$M_1$) to the shell (M₂$M_2$) is:

Chapter Mix

Class 11 Physics: Work, Energy And Power