Question

A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. The puck's initial speed is 93 m/s. What vertical height does the puck reach above its starting point?

Answer 1

the vertical height reached by the puck is 580.47 m

Step-by-step explanation:

given,

mass of hockey puck = 200 g

angle of inclination (θ )= 30°

μs = 0.40

μk = 0.30

initial velocity = 93 m/s

acceleration of pluck upwards,

a = - g (cosθ × μk +sin θ)

a = - 9.81 × (0.3 × cos 30° +sin 30°)

a = -7.45 m/s²

now,

s =
`(u^2)/(2a)`

s =
`(93^2)/(2* 7.45)`

s = 580.47 m

the vertical height reached by the puck is 580.47 m