question archive A small box of mass m is kicked up an inclined plane with an initial velocity v, and slides up the incline a distance L before it stops

A small box of mass m is kicked up an inclined plane with an initial velocity v, and slides up the incline a distance L before it stops

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A small box of mass m is kicked up an inclined plane with an initial velocity v, and slides up the incline a distance L before it stops. The inclined plane makes an angle a with the horizontal, and the friction coefficient is . What is the distance L the box slides up the ramp before it stops? [Hint: The known quantities are the mass, the initial speed, the angle, the coefficient of friction, and the acceleration of gravity: (m, v., a, #, g]. Solve for the distance L in terms of these quantities.]

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