Mechanics

An object of mass m,= 15 kg is released at point A (starting from rest), slides to the bottom of the 25°incline.

a) (3 points) Calculate the magnitude of force of kinetic friction acting on m, while it slides down the incline if the coefficient of kinetic friction between m, and incline is 0.028.

b) (3 points) Calculate the non-conservative work due to friction force on m, while it slides down the incline.

c) (5 points) Calculate the velocity of m, at the bottom of the incline just before it collides with m2. (you can assume that the height at the bottom of the incline is zero).

d) (4 points) At the bottom of incline m, will have a inelastic collision with another mass (m2 - 10 kg) that is at rest at point B. Calculate the velocity of (m, +m2) just after the collision.

e) (5 points) After the collision both masses (that are still attached to each other) will slide on the horizontal frictionless surface until they collide with a horizontal ideal spring (massless and friction less)with a spring constant of 350 N/m, compressing it to a maximum distance. Calculate the maximum compression of the spring.

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