Toy Cannon
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A toy cannon uses a spring to project a soft rubber ball 5.25 g. The spring is compressed by originally 4.90 cm and has a spring constant of 7.95 N / m. When he is fired, the ball moves 14.7 cm through the horizontal barrel of the gun, and he is a constant friction force 0.0317 N between the barrel and the ball. (A) How fast the projectile leave the barrel of the gun? (B) When the ball's speed? (From the original position) (c) What is the maximum speed?
Start using the law of conservation of mechanical energy. Do not forget to include the work done by friction, and gravitational potential energy can be ignored, because the barrel is horizontal (a) E (i) = E (f) = 0.5 mV 0.5kx ² ² + F (f) v ² = k ² Ax - 2F (f) Ax / m = [(7.95N / m) (0.049m) ² - 2 (0.0317 N) (0.147m)] / V = 0.00525 kg 1.86 m / s (b) The maximum speed is reached just when the ball leaves the spring is released and before friction starts to slow. We use the same equation above without work done by friction: (c) v = kx ² ² / m = (7.95N / m) (0.049m) ² / 0.00252 kg = 2.76m / S Hope this helps!
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