A roller coaster cart of mass m = 337 kg starts stationary at point A, where h1

Question

A roller coaster cart of mass m = 337 kg starts stationary at point A, where h1 = 22 m and a while later is at B, where h2 = 7.6 m.

The acceleration of gravity is 9.8 m/s2 .

What is the potential energy of the cart relative to the ground at A?

Answer in units of J

Part 2:

What is the speed of the cart at B, ignoring the effect of friction?

Answer in units of m/s

A roller coaster cart of mass m = 337 kg starts stationary at point A, where h1 = 22 m and a while later is at B, where h2 = 7.6 m. The acceleration of gravity is 9.8 m/s2 . What is the potential energy of the cart relative to the ground at A? Answer in units of J Part 2: What is the speed of the cart at B, ignoring the effect of friction? Answer in units of m/s

Explanation / Answer

Part A)

PE = mgh

PE = (337)(9.8)(22)

PE = 72657 J

Part B)

PE = PE + KE

mgh1 = mgh2 + .5mv2 (Mass cancels)

(9.8)(22) = (9.8)(7.6) + .5v2

v = 16.8 m/s

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