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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 :

Answer:

the vertical height reached by the puck is 580.47 m

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 = [tex]\dfrac{u^2}{2a}[/tex]

s = [tex]\dfrac{93^2}{2\times 7.45}[/tex]

s = 580.47 m

the vertical height reached by the puck is 580.47 m

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