Ask Question
13 July, 09:50

A 25.0-kg box of textbooks rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0.25, and the coefficient of static friction is 0.35. (a) As α is increased, find the minimum angle at which the box starts to slip. (b) At this angle, find the acceleration once the box has begun to move. (c) At this angle, how fast will the box be moving after it has slid 5.0 m along the loading ramp?

+1
Answers (1)
  1. 13 July, 09:58
    0
    a) When the box starts to slip

    static friction = mg sinα

    mg cosα x μ = mg sinα (μ is coefficient of static friction)

    Tanα = μ =.35

    α = 19.2°

    b) Once box starts moving, kinetic friction will start applying on it

    kinetic friction = mg cos19.2 x. 25

    = 2.31m

    net force downward = mgsin19.2 - mgcos19.2 x. 25

    = m (3.22 - 2.31)

    =.91 m

    acceleration downward (a) =.91 m / s²

    c)

    v² = u² + 2 a s

    = 0 + 2 x. 91 x 5

    = 9.1

    v = 3 m / s
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A 25.0-kg box of textbooks rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0.25, ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers