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2. Consider a smooth slope of a quarter circle of radius R and a motion of a point mass m from rest at height h

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2. Consider a smooth slope of a quarter circle of radius R and a motion of a point mass m from rest at height h > R: m h? 'ilgl (3.) Draw a free-body diagram for the mass m when the mass is on the slope. (b) Discuss the work done by the force on the mass along the slope. We may assume that the friction between the mass and the slope is zero. (c) Determine the Speed I'Uol by means of m, h, R, |g|. The mass collides aInother mass M attached with a spring k. Let V be the velocity of M after the collision. kw The recoiled m goes back to the opposite direction with speed L13}. (2) (d) Write down the conservation of linear momentum before the collision and after the collision. (e) Determine the maximum elongation of the spring is. (f) The recoiled mass m goes along with the slope up. If the mass m reaches at the height R, i.e., the t0p of the slope, determine the ratio %. A

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