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Starting from rest, a 6.79 kg block slides 2.82 m down a rough 20.7 ◦ incline. The coefficient of kinetic friction between the block and the incline is 0.425. The acceleration of gravity is 9.8 m/s 2 . Find the work done by the force of gravity. Answer in units of J.

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Answer:

23.52092 J

Explanation:

m = Mass of block = 6.79 kg

s = Sliding distance = 2.82 m

[tex]\theta[/tex] = Angle of slide = 20.7°

[tex]\mu[/tex] = Coefficient of kinetic friction = 0.425

g = Acceleration due to gravity = 9.8 m/s²

Work done by the force of gravity is given by

[tex]W=mgsin\theta\\\Rightarrow W=6.79\times 9.8\times sin20.7\\\Rightarrow W=23.52092\ J[/tex]

The work done by the force of gravity is 23.52092 J

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