While a roofer is working on a roof that slants at 41.0 ? above the horizontal,

Question

While a roofer is working on a roof that slants at 41.0 ? above the horizontal, he accidentally nudges his 88.0 N toolbox, causing it to start sliding downward, starting from rest.

Part A

If it starts 4.15 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 19.0 N ?

While a roofer is working on a roof that slants at 41.0 ? above the horizontal, he accidentally nudges his 88.0 N toolbox, causing it to start sliding downward, starting from rest.

Part A

If it starts 4.15 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 19.0 N ?

Explanation / Answer

Here ,

let the speed of the toolbox is v after traveling 4.15 m

Using conservation of energy

change in kinetic energy = total work done

0.50 * (88/9.8) * v^2 = 88 * sin(41 degree) * 4.15 - 19 * 4.15

solving for v

v = 6 m/s

the speed of the toolbox at the bottom is 6 m/s

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