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Last Updated On 23-10-2022 - By Sara

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 :-

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

1 Answer
5876 Votes
3537

Answer Key : (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



Next Question :

A cylinder having moment of inertia, which isfree to rotate about its axis, receives an angular impulse of initially, followed by similar impulse after every 4 s. What is the angular speed of the cylinder 30 s after the initial impulse?

a)

b)

c)

d)

Zero


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