1. Nailed it! You and your friend Peter are putting new shingles on a roof pitched at 250. You're sitting on the very top of the roof when Peter, who is at the edge of the roof directly below you, 5.0 meters away, asks you for the box of nails. Rather than carry the 2.5 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him. If the coefficient of kinetic friction between the box and the roof is µ = 0.55, what initial speed should you give the box to have it gently come to rest right at the edge of the roof next to Peter? You 5.0m Peter dy

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**1. Nailed it!** You and your friend Peter are putting new shingles on a roof pitched at \(25^\circ\). You’re sitting on the very top of the roof when Peter, who is at the edge of the roof directly below you, 5.0 meters away, asks you for the box of nails. Rather than carry the 2.5 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him. If the coefficient of kinetic friction between the box and the roof is \(\mu_k = 0.55\), what initial speed should you give the box to have it gently come to rest right at the edge of the roof next to Peter?

**Diagram Explanation:**

The diagram illustrates a roof inclined at \(25^\circ\), with two figures labeled "You" and "Peter." The distance between you and Peter is depicted as 5.0 meters along the slope. A box is shown on the roof, representing the box of nails, which is 2.5 kg. The slope indicates the direction the box will slide from "You" to "Peter."
Transcribed Image Text:**1. Nailed it!** You and your friend Peter are putting new shingles on a roof pitched at \(25^\circ\). You’re sitting on the very top of the roof when Peter, who is at the edge of the roof directly below you, 5.0 meters away, asks you for the box of nails. Rather than carry the 2.5 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him. If the coefficient of kinetic friction between the box and the roof is \(\mu_k = 0.55\), what initial speed should you give the box to have it gently come to rest right at the edge of the roof next to Peter? **Diagram Explanation:** The diagram illustrates a roof inclined at \(25^\circ\), with two figures labeled "You" and "Peter." The distance between you and Peter is depicted as 5.0 meters along the slope. A box is shown on the roof, representing the box of nails, which is 2.5 kg. The slope indicates the direction the box will slide from "You" to "Peter."
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