A cannon of mass 1500 kg fires a 10-kg shell with a velocity of 200 m/s at an angle of 30 $\degree$ above the horizontal. Find the recoil velocity of the cannon across the level ground.
A) 1.15 m/s
B) 0.94 m/s
C) 2.41 m/s
D) 1.94 m/s

Question

A cannon of mass 1500 kg fires a 10-kg shell with a velocity of 200 m/s at an angle of 30  $\degree$ above the horizontal. Find the recoil velocity of the cannon across the level ground.
A) 1.15 m/s
B) 0.94 m/s
C) 2.41 m/s
D) 1.94 m/s

Quizplus · Accepted Answer

Explanation:Momentum before firing = 0Momentum after firing = (1500 kg) v + (10 kg) (200 m/s) cos 30°By the law of conservation of momentum,0 = (1500 kg) v + (10 kg) (200 m/s) cos 30°v = (10 kg) (200 m/s) cos 30° / (1500 kg)v = 1.15 m/s

A Cannon of Mass 1500 Kg Fires a 10-Kg Shell °\degree°

A Cannon of Mass 1500 Kg Fires a 10-Kg Shell $\degree$