Answer:
Explanation:
Given
Weight of roller coaster is [tex]W=2430\ pound[/tex]
mass of roller coaster [tex]m=\frac{W}{g}=\frac{2430}{32.2}=75.45 [/tex]
Distance traveled by roller coaster [tex]d=396\ ft[/tex]
drag force [tex]f_d=85\ pounds [/tex]
velocity at top [tex]v=59 mph\approx 86.53\ ft/s[/tex]
Suppose E is the initial energy
Conserving Energy at bottom and top
[tex]E=\frac{1}{2}mv^2+mgh+f_d\cdot d[/tex]
[tex]E=0.5\times 75.45\times 86.53^2+2430\times 105+85\times 396[/tex]
[tex]E=2.9\times 10^5\ foot-pound[/tex]
