zontal and vertical) of its velocity with respect to the hoop?(c) During its trajectory, what is the ball’s maximum heightabove the hoop? (Hint:Imagine rewinding the tape, so the ball is “ejected” from the hoop and movesbackwards along its trajectory.)3
3. (38 pts) You own a 2000-kg log cabin which suddenly starts sliding to the left down anicy slope inclined at 20 deg to the horizontal, sloping upward to the right. The cabinis tied by a chain to a large boulder which, in a moment of brilliant insight, you pushover a cliff at the top of the slope. When the descending boulder pulls the chain taut,the cabin and boulder accelerate with a magnitude of 3.0 m/s2, slowing the cabin’sdescent as the boulder is pulled upward. There is no friction in this problem.(a) What must be the mass of the boulder?(b) Inside the cabin, a 30-kg ceiling lamp hangs from the ceiling by a light cord. Whilethe boulder is slowing the cabin to a stop, what are the magnitude and direction(angle to the vertical) of the tension in the cord? Has the lamp swung to the leftor right of its vertical position?