The ball launcher in a pinball machine has a spring (k = 120 N/m) that accelerates a 0.100kg ball into play. The surface on which the spring applies work to the ball is an incline that makes a 10 degree angle to the horizontal. Typically the spring is compressed by 5.00 cm (0.0500m) before being released, which then will move the ball up the incline. If there is negligible friction along the inclined surface,
a) what theoretical speed will the ball have when the spring has transferred all of its elastic energy? (record 3 sig digs please, with no units)
b) After the ball is released, the ball's motion is that of a projectile. Determine the time, in seconds, the ball takes to reach its maximum height. (record the answer in a.bc x 10^-d format, with no units)
c) Determine the maximum height, in meters, the ball reaches while in the air. (record the answer in a.bc x 10^-d format, with no units)
d) Determine the maximum height, in meters, the ball reaches while in the air. (record the answer in a.bc x 10^-d format, with no units)