The explosion in a cannon exerts an average force of 30,000 N for 2.00 meters. The velocity of a 2.00 kg projectile shot from the cannon is
A) 198 m/s.
B) 245 m/s.
C) 302 m/s.
D) 354 m/s.
E) 412 m/s.

Question

Quizplus · Accepted Answer

The work done by the force is equal to the change in kinetic energy. Work = Force x Distance = 30,000 N x 2.00 m = 60,000 J. The kinetic energy of the projectile is (1/2)mv^2. Solving for v: 60,000 J = (1/2)(2.00 kg)v^2, v^2 = 60,000, v = sqrt(60,000) = 245 m/s.

The Explosion in a Cannon Exerts an Average Force of 30,000