Pan2 Loop the Loop p the Loop Egure 1) A roller coaster car may be represented b
ID: 1590766 • Letter: P
Question
Pan2 Loop the Loop p the Loop Egure 1) A roller coaster car may be represented by a block of mass 500 kg The car is released from rest at abeight h s 51.0 m above the ground and slides along a tratk The car encourtees a loop of radius 170 m at ground evel as shown As you the course of this the initial 510 n the great enough so that the tar never loses contact with store of gnmentproblemID 59975958 in as Maddie Kramber 4of 11 Part A Find the kinetic energy K of the car at the top of the loop Express your answer numerically in joules, find wninsury heiget h at rich the ear can be seleased that sea allons tee ear to stay in contact with back at the top of Part B your answer muiwerically, in meters.Explanation / Answer
a)
The kinetic energy KE=m*g*(h-2*R)
KE = 50*9.81*(51-2*17) = 8338.5 J.
b)
for h_min, the centripetal acceleration must equal gravity at the top of the loop.
v^2/R=g
=> v^2=g*R
Using the energy equation from above
0.5*m*v^2=m*g*(h_min-2*R)
combining both the equation,
0.5*m*g*R = m*g*(h_min-2*R)
so we get, h_min = 2.5*R = 42.5 m.
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