Consider a rollercoaster that begins from rest at a height (h) of 200 meters. At one point in the track, the coaster goes around a loop. At the top of the loop, the coaster is moving with a speed of 40 m/s. Calculate the radius of the loop. coaster A. 18.45 m B. 118.45 m C. 98.98 m D. 59.23 m

D. 59.23 m

Explanation:

Given that:

initial height   of the roller coaster = 200m

speed (v) = 40 m/s

use conservation of energy between starting height and top of loop

where

i.e the final height  = 2R

R = radius of the loop

Then

Divide both sides with m; we have :

1962 = 800 + (9.81 )(2R)

1962 -800 = (9.81 )(2R)

1162 = 19.62 R

R = 59.23 m

answer: he got 23

explanation: