A 10kg roller coaster does a loop-de-loop and it’s your job to make sure it is safe. The people will fall out if the cart’s speed is less than 40m/s when it goes upside down. How high up does the car have to be at point A to make it? Fill in everything else as well.

Location



PE



KE

TE



A



h =





v = 0m/s







B



h = 0m





v =







C



h = 15m

PE=m*g*h



v = 40m/s

KE=0.5*m*v2=

TE=PE+KE



D



h = 0m





v =







E



h = 10m





v =







F



h = 20m





v =