In the figure below, a frictionless roller coaster of mass m = 577 kg tops the f
ID: 2218941 • Letter: I
Question
In the figure below, a frictionless roller coaster of mass m = 577 kg tops the first hill with speed v0 = 5.5 m/s at height h = 51m. How much work does its weight do on it from the initial point to point a? J How much work does its weight do on it from the initial point to point B? J How much work does its weight do on it from the initial point to point C? The gravitational potential energy of the coaster-Earth system is taken to be zero at point C. What is its value when the coaster is at point B? What is its value when the coaster is at point a? J If mass m were doubled, would the change in the gravitational potential energy of the system between points a and B increase, decrease, or remain same? decrease increase remain sameExplanation / Answer
Solution: - a. no work done as the displacement is zero. b. work done = mgh/2 (positive as the weight acts in the downward direction.) c. mgh d. mgh/2 (potential engy increases upwards) e. mgh. f. remain same. as change is zero.