High School

(Forces and the Laws of Motion pg. 141; Friction)

Problem 3:

A 75 kg box slides down a 25.0° ramp with an acceleration of 3.60 m/s².

a. Find [tex]\mu_k[/tex] between the box and the ramp.

b. What acceleration would a 175 kg box have on this ramp?

Answer :

Final answer:

To find μk between the box and the ramp, calculate the force of friction using the formula Ffriction = μk * Fnormal. To find the acceleration of a 175 kg box on the ramp, use the formula Ffriction = μk * Fnormal = ma.

Explanation:

a. To find the coefficient of kinetic friction (μk) between the box and the ramp, we need to first calculate the force of friction acting on the box. The force of friction can be calculated using the formula:

Ffriction = μk * Fnormal

where Fnormal is the normal force acting on the box. On the inclined plane, the normal force can be calculated as:

Fnormal = mg * cos(θ)

where m is the mass of the box and θ is the angle of the ramp. Substituting the given values, we can solve for μk.

b. To find the acceleration of a 175 kg box on the same ramp, we can use the same formula:

Ffriction = μk * Fnormal = ma

Substituting the given values, we can solve for a.

Learn more about Coefficient of kinetic friction here:

https://brainly.com/question/10521530

#SPJ11

Other Questions