A car in an amusement park ride rolls without friction around the track shown in

Question

A car in an amusement park ride rolls without friction around the track shown in the figure (Figure 1) . It starts from rest at point at a height above the bottom of the loop. Treat the car as a particle.

A car in an amusement park ride rolls without friction around the track shown in the figure (Figure 1) . It starts from rest at point at a height above the bottom of the loop. Treat the car as a particle. Part B If the car starts at height h= 5.00 R and the radius is R = 25.0 rmm , compute the speed of the passengers when the car is at point C , which is at the end of a horizontal diameter. Part C If the car starts at height h= 5.00 R and the radius is R = 25.0 rmm , compute the radial acceleration of the passengers when the car is at point C , which is at the end of a horizontal diameter.

Explanation / Answer

total mechanical energy

GPE = mgh

= mg(5)(25.0)

= 125mg

GPE = 25mg
KE = 125mg - 25mg

= 100mg = 1/2mV²

mV² = 200mg

V² = 200 x 9.81 = 1962
V = 44.29 m/s

Ac = V²/R

= 1962/25

= 78.48m/s²

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