Question

a roller - coaster car is at the top of a hill. the car and its passengers have a combined mass of 1,090 kilograms. if the hill is 65 meters tall how much potential energy does the car have? acceleration due to gravity is 9.8 meters per second squared.
pe = mgh
(1 point)
694,330.0 j
661,068.8 j
67,456.0 j
70,850.0 j

Explanation:

Step1: Substitute the values into the formula

Given \(m = 1090\space kg\), \(g=9.8\space m/s^{2}\), \(h = 65\space m\) and the formula \(PE=mgh\).
Substitute these values: \(PE=1090\times9.8\times65\)

Step2: Calculate \(1090\times9.8\)

\(1090\times9.8=(1000 + 90)\times9.8=1000\times9.8+90\times9.8=9800+882 = 10682\)

Step3: Calculate \(10682\times65\)

\(10682\times65=(10000 + 600+80 + 2)\times65=10000\times65+600\times65+80\times65+2\times65\)
\(=650000+39000+5200 + 130=694330\)

Answer:

684330.0 J