Toy Cannon

Partially solved friction problem?

A toy cannon uses a spring to project a 5.27 g soft rubber ball. The spring is originally compressed by 5.05 cm and has a force constant of 8.04 N/m. When the cannon is fired, the ball moves 15.2 cm through the horizontal barrel of the cannon, and there is a constant frictional force of 0.0327 N between the barrel and the ball.

When the ball is x cm. from the starting positon, the force exerted by the spring is 8.04(5.05 – x) / 100 N. (Take care with the cm.)

When that force is less than the friction force, the ball will start decelerating.

8.04(5.05 – x) / 100 < 0.0327
5.05 - x < 3.27 / 8.04
x > 5.05 – 3.27 / 8.04 cm.
x > 4.64 cm.

toy cannon

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