- #1

- 53

- 0

**Ball, spring and curved incline -- is this right?**

Picture a smooth, level, frictionless surface (A) that leads into a curved incline (B-C). The top of the incline (C) is 0.4 meter above the flat surface. At the start of A is a spring with a spring coefficient of 10, with one end fixed and a ball weighing 10 g placed at the other end (facing the curve). The spring is then compressed by 10 cm. When released, the ball flies into the air from point C. Determine the ball's speed when it leaves C.

I first determined the height the ball reaches, using:

0.5kx^2 = mgh

h = 0.51 m

Then determined the velocity the ball would have if it were dropped from a height of 0.11 meter (that is, the height above point C), so that

v^2 = 2ah

v^2 = 2 (9.8)0.11

v = 1.46 m/s

I'm not sure about the second calculation, because the ball could have been moving at an angle when it left C.