A crate is given a big push, and after it is released, it slides up an inclined plane which makes an angle 0.52 radians with the horizontal. The frictional coefficients between the crate and plane are (/muμs = 0.84, / muμk = 0.48). What is the magnitude of the acceleration (in meters/second2) of this crate as it slides up the incline?

Question

Jayce Boyle

Physics

26 September, 10:46

A crate is given a big push, and after it is released, it slides up an inclined plane which makes an angle 0.52 radians with the horizontal. The frictional coefficients between the crate and plane are (/muμs = 0.84, / muμk = 0.48). What is the magnitude of the acceleration (in meters/second2) of this crate as it slides up the incline?

+3

Answers (1)

Know the Answer?

Libby · Answer 1

a = 8.951 m/s²

Explanation:

given,

angle = 0.52 radians

μ_s = 0.84

μ_k = 0.48

acceleration = ?

using

F + f = m a

mg sin θ + μk mg cos θ = m a

a = g sin θ + μk g cos θ

a = 9.8 x sin 0.52 + 0.48 x 9.8 x cos 0.52

a = 4.869 + 4.082

a = 8.951 m/s²

the magnitude of acceleration is a = 8.951 m/s²