In the figure, a frictionless roller coaster of mass 1000 kg tops the first hill
ID: 1478757 • Letter: I
Question
In the figure, a frictionless roller coaster of mass 1000 kg tops the first hill at height, h = 32 m with speed 5.15 m/s. How much work does its weight do on it from that point to point A?
How much work does its weight do on it from that point to point B?
How much work does its weight do on it from that point to point C?
If 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?
If 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 A?
Explanation / Answer
m =1000 kg , h =32m , g =9.8 m/s^2, v =5.15 m/s
Work done equal to change in potnetial energy
W =Ui -Uf
(a) W = (mgh-mgh) = 0
(b) Work done from point A to point B
W = (mgh -mgh/2) = mgh/2 = (1000*9.8*32)/2
W =156800 J
(c) Work done from point B to C
W =(mgh/2 -0 )=mgh/2
W = 156800 J
(d) PB =mgh/2
PB= 156800 J
(e) P =mgh = 156800*2
PA = 313600 J
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