You and your friend Blake are putting new shingles on a roof pitched at 25°. You are sitting at the very top of the roof when Blake, who is at the edge of the roof 5.0 m away (measured along the roof slope), asks you for a 2.5 kg box of nails. You give the box a push so that it will slide down the roof to Blake. If the coefficient of kinetic friction between the box and the roof is 0.55, what initial speed does your push need to create for the box for it to come gently to rest right at the edge of the roof? (Hint: Use a tilted coordinate system, with x along the slope of the roof).

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.13P: A particle moves in a medium under the influence of a retarding force equal to mk(υ3+ a2υ), where k...
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You and your friend Blake are putting new shingles on a roof pitched at 25°. You are sitting at the
very top of the roof when Blake, who is at the edge of the roof 5.0 m away (measured along the
roof slope), asks you for a 2.5 kg box of nails. You give the box a push so that it will slide down
the roof to Blake. If the coefficient of kinetic friction between the box and the roof is 0.55, what
initial speed does your push need to create for the box for it to come gently to rest right at the
edge of the roof? (Hint: Use a tilted coordinate system, with x along the slope of the roof).
Transcribed Image Text:You and your friend Blake are putting new shingles on a roof pitched at 25°. You are sitting at the very top of the roof when Blake, who is at the edge of the roof 5.0 m away (measured along the roof slope), asks you for a 2.5 kg box of nails. You give the box a push so that it will slide down the roof to Blake. If the coefficient of kinetic friction between the box and the roof is 0.55, what initial speed does your push need to create for the box for it to come gently to rest right at the edge of the roof? (Hint: Use a tilted coordinate system, with x along the slope of the roof).
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