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Super Physics Question.?
The roller-coaster car shown in Fig. 6-41 (h1 = 30 m, h2 = 16 m, h3 = 24 m), is dragged up to point 1 where it is released from rest. Assuming no friction, calculate the speed at points 2, 3, and 4.
http://www.webassign.net/giancoli/6-41alt.gif <---- Image.
point 2: _____m/s
point 3: ____ m/s
point 4: _____ m/s
@ h1, PE = mgh = m*9.8*30 = 294*m J
POINT 2, PE = 0, therefore, KE = 294*mJ
PE + 0 = KE + 0.
294m = 1/2mv^2
we can cross out the m on both sides of the equation so
294 = 1/2v^2
So v^2 = 588.
v = 24.249 m/s
POINT3, PE = mgh = 9.8*16m
= 156.8m
KE = 294m-156.8m = 137.2m
v^2 = 137.2 * 2 = 274.4
v = 16.57 m/s
Point4, PE=mgh = 235.2m
KE = 294m - 235.2m = 58.8m
v^2 = 58.8 * 2
v = 10.844 m/s
point 2: 24.25 m/s
point 3: 10.84 m/s
point 4: 16.57 m/s
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