What minimum speed does a 100g puck need to make?

Question

What minimum speed does a 100g puck need to make it to the top of a 3.00m -long, 29.0degree frictionless ramp?

Answer 1

Find the final height of the puck

h = 3 * sin 29 = 1.45

Kinetic Energy at bottom must equal potential energy at top.

0.5 m v^2 = m g h

0.5 v^2 = g h

v^2 = 2 g h

v = sqrt (2 g h)
= 5.33 m/s