You and your friend Peter are putting new shingles on a roofpitched at 23 ∘ . You're sitting on the very top of the roof whenPeter, who is at the edge of the roof directly below you, 5.0 maway, asks you for the box of nails. Rather than carry the 2.5 kgbox of nails down to Peter, you decide to give the box a push andhave it slide down to him.
If the coefficient of kinetic friction between the box and theroof is 0.55, with what speed should you push the box to have itgently come to rest right at the edge of the roof?