A cannonball with a mass of 1.0 kilogram is fired horizontally from a 500. - kilogram cannon, initially at rest, on a horizontal, frictionless surface. The cannonball is acted on by an average force of 8.0x10^3 newtons for 1.0x10^-1 second. (a) What is the magnitude of the average net force acting on the cannon? (b) Determine the acceleration of the cannon ball.

Question

Physics

Simmons

15 August, 05:01

A cannonball with a mass of 1.0 kilogram is fired horizontally from a 500. - kilogram cannon, initially at rest, on a horizontal, frictionless surface. The cannonball is acted on by an average force of 8.0x10^3 newtons for 1.0x10^-1 second. (a) What is the magnitude of the average net force acting on the cannon? (b) Determine the acceleration of the cannon ball.

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Zaire Trevino · Answer 1

(a) According to Newton’s third law, for every action there is an equal yet opposite reaction. In this case, the cannonball is affected by 8.0x10^3 newtons in one direction. Now the cannon must also be affected by the same amount of net force on the opposite direction.

- 8.0x10^3 Newtons (the negative symbol only shows that it is opposite direction)

(b) We solve this using the formula:

F = m a

8.0x10^3 N = (1.0 kg) a

a = 8,000 m/s^2