What Speed Should You Push a Box of Nails Down a Roof?

AI Thread Summary
To determine the speed at which to push the box of nails down a roof pitched at 24 degrees, one must first calculate the acceleration of the box considering the coefficient of kinetic friction, which is 0.50. The gravitational force acting on the box and the frictional force will affect its motion down the roof. By applying Newton's second law and the equations of motion, the necessary initial speed can be derived to ensure the box comes to rest at the edge of the roof. The discussion emphasizes the importance of understanding forces and friction in this scenario. Calculating these factors will yield the required speed for a smooth delivery of the box to Peter.
Sethwell
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You and your friend Peter are putting new shingles on a roof pitched at 24^\circ . You're sitting on the very top of the roof when Peter, who is at the edge of the roof directly below you, 5.4 m away, asks you for the box of nails. Rather than carry the 2.4 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him.
- Part A
If the coefficient of kinetic friction between the box and the roof is 0.50, with what speed should you push the box to have it gently come to rest right at the edge of the roof?

I have no idea how to get the answer to this please help
what is the answer or what eq's should i use to figure it out?
 
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