Question

In: Physics

A crate is given a push such that it has an initial speed of 5.2 m/s...

A crate is given a push such that it has an initial speed of 5.2 m/s headed up a 15 degree incline. If the crate travels 3.5m up the incline before reversing direction, what is the coefficient of kinetic friction between the crate and the incline?

Expert Solution

Gravitational acceleration = g = 9.81 m/s²

Mass of the crate = m

Initial speed of the crate = V = 5.2 m/s

Angle of the incline = = 15^o

Distance the crate travels up the incline = L = 3.5 m

Height gained by the crate = H

H = LSin

Normal force on the crate from the incline = N

Coefficient of kinetic friction between the crate and the incline =

Friction force on the crate = f

By conservation of energy the initial kinetic energy of the crate is converted into the potential energy of the crate plus the work done against friction as the crate moves up the incline.

= 0.14

Coefficient of kinetic friction between the crate and the incline = 0.14

genius_generous answered 1 year ago

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