# A cannon of mass 1000 kg located at the base of an inclined plane fires a shell of mass 50 kg in horizontal direction with velocity 180 km/h. The angle of inclination of the inclined plane with the horizontal is . The coefficient of friction between the cannon and inclined plane is 0.5. The maximum height, in metre, to which the cannon can ascend the inclined plane as a result of recoil is a) b) c) d) None of these

## Question ID - 100188 | SaraNextGen Top Answer A cannon of mass 1000 kg located at the base of an inclined plane fires a shell of mass 50 kg in horizontal direction with velocity 180 km/h. The angle of inclination of the inclined plane with the horizontal is . The coefficient of friction between the cannon and inclined plane is 0.5. The maximum height, in metre, to which the cannon can ascend the inclined plane as a result of recoil is a) b) c) d) None of these

Answer Key / Explanation : (b) -

(b)

Velocity of shell =180km/h=50m/s

Let  be the velocity of the cannot after firing, then from the conservation of linear momentum,

Let the cannot go up by height

Net work done by external forces

Where  is the mass of cannon,

Solving, we get m