Question

A box slides down a 45 incline with an acceleration of 1.24 down the incline.

what is the coefficient of kinetic between the block and the incline

Answer 1

The acceleration of an object sliding down an inclined plane is given by the equation:

a=g(sin(θ)−μk​cos(θ))

where:

a is the acceleration,

g is the acceleration due to gravity (approximately 9.8 m/s²),

θ is the angle of the incline,

μ_k is the coefficient of kinetic friction.

Given that the acceleration a is 1.24 m/s² and the angle of incline θ is 45°, we can rearrange the equation to solve for μ_k:

μk​=gcos(θ)gsin(θ)−a​

Substituting the given values into this equation will give us the coefficient of kinetic friction.

Step-by-step explanation: