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A worker is trying to push a crate across the floor in the rightward direction with...

A worker is trying to push a crate across the floor in the rightward direction with a horizontal force of 15N. The crate does not move. The mass of the crate is 10kg. The coefficient of static friction is 0.25, and the coefficient of kinetic friction is 0.15. (1) what is the friction on the crate? Give both magnitude and direction of the friction. (2) He then pulls the right edge of the crate with a force of 50N at an angle \Theta =30degrees above the x-axis. Does the crate move? Justify your answer quantitatively. (3) what is the acceleration of the crate if it moves? (4) what is the work done by the workers force when the crate moves 4 meters? (5) what is the work done by the gravitational force in that 4-meters distance? (6) What us the thermal energy dissipated during the move?

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