6) (35 points total - 5 points each) You throw a small bouncy ball of mass m₁at a hill of mass mn, that is sloped at an

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6 35 Points Total 5 Points Each You Throw A Small Bouncy Ball Of Mass M At A Hill Of Mass Mn That Is Sloped At An 1 (368.16 KiB) Viewed 236 times

6) (35 points total - 5 points each) You throw a small bouncy ball of mass m₁at a hill of mass mn, that is sloped at an angle relative to horizontal as indicated in the picture. The ball impacts the hill with an initial velocity vo that is horizontal. During the collision, which lasts from t = 0 until t = t₁, the magnitude of the force from the hill on the ball is given by |Fnb (t): = F₁ sin with F₁ a constant. The direction of the force is perpendicular to the hill, as indicated in the picture. Fhb the ball is perpendicular to the hill. Chosen coordinate System ↑ O ŷ 2 Vo Ө a) Using the Cartesian coordinate system that is indicated in the figure, express Fhb in component form. b) Find the impulse, Jhb that the hill exerts on the ball during the time period from 0 to t₁. c) Assuming that this is the only impulse the ball feels, find the final momentum of the ball. d) Find the velocity of the ball just after the collision has occurred. e) Find the impulse, Jbh that the ball exerts on the hill during the time period from 0 to t₁. Name: Date: Score: f) Assuming this is the only impulse the hill feels, and the hill begins from rest, find the final momentum of the hill. g) Find the velocity of the hill just after the collision has occurred. The direction of the force from the hill on / 100