The car on the roller coaster is released from the position shown and allowed to roll freely.
name two of the forces that affect the motion of the car while it moves on the roller coaster.
describe how the potential and kinetic energy of the car change as the car rolls downhill.
explain why the car cannot reach point x on the third hill, as shown in the picture.

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j