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 16 m/s.What vertical height does the puck reach above its starting point?
A)8.6 cm
B)17 cm
C)13 cm
D)4.2 cm

Question

Quizplus · Accepted Answer

The correct answer is A.The puck's initial kinetic energy is converted into gravitational potential energy at its maximum height. The work done by friction is equal to the difference in kinetic energy between the initial and final states. The work done by friction is also equal to the force of friction multiplied by the distance traveled. The force of friction is equal to the coefficient of friction multiplied by the normal force. The normal force is equal to the weight of the puck. The distance traveled is equal to the height reached by the puck.Therefore, we can write:```mgh = (1/2)mv^2 - f*d```where:* m is the mass of the puck* g is the acceleration due to gravity* h is the height reached by the puck* v is the initial speed of the puck* f is the force of friction* d is the distance traveledSubstituting in the given values, we get:```(0.2 kg)(9.8 m/s^2)h = (1/2)(0.2 kg)(16 m/s)^2 - (0.30)(0.2 kg)(9.8 m/s^2)d```Solving for h, we get:```h = 0.086 m = 8.6 cm```

A 200 G Hockey Puck Is Launched Up a Metal