Question

h M r Let's design a roller coaster. It should consist of a long ramp leading into a loop. The loop should have a radius r of 7.8 m. The cars have a mass M of 359 kg. Assuming that friction can be neglected here, what should be the minimum height h of the ramp (in m) with respect to the bottom of the loop so that the cars don't fall off the track at the top of the loop?

          h
M
r
Let's design a roller coaster. It should consist of a long
ramp leading into a loop. The loop should have a radius
r of 7.8 m. The cars have a mass M of 359 kg.
Assuming that friction can be neglected here, what
should be the minimum height h of the ramp (in m)
with respect to the bottom of the loop so that the cars
don't fall off the track at the top of the loop?

h
M
r
Let's design a roller coaster. It should consist of a long
ramp leading into a loop. The loop should have a radius
r of 7.8 m. The cars have a mass M of 359 kg.
Assuming that friction can be neglected here, what
should be the minimum height h of the ramp (in m)
with respect to the bottom of the loop so that the cars
don't fall off the track at the top of the loop?

Added by Leslie R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

04/01/2022

Step 1

Given: Radius of the loop, r = 7.8 m Mass of the object, M = 359 kg Centripetal force = M * g = M * v^2 / r Substitute the values to find v^2: v^2 = g * r = 9.81 m/s^2 * 7.8 m = 76.638 m^2/s^2 Calculate v: v = sqrt(76.638) = 8.74 m/s Show more…

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