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A 3640 lb roller coaster experiences a constant air-resistance force of 26 lb and a constant friction force of 20 lb. What init...Asked by sandhya
A 3640 lb roller coaster experiences a constant air-resistance force of 26 lb and a constant friction force of 20 lb. What initial velocity is required for the coaster to make it around the 0.57 mile track and coast to a stop at its starting location?
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Answered by
drwls
The initial kinetic energy must equal the friction work done in traveling 0.57 miles (3010 feet).
If you want the speed in feet/second, the mass must be in slugs, and the distance X must be in feet.
3640 lb = 113 slugs
(M/2) V^2 = 46 lb*X
Solve for V.
V^2 = 2*46*3010/113 = 2451 ft^2/s^2
If you are not familiar with the use of slugs for mass, do the problem with force, mass and distance in SI units, to get the velocity in m/s.
If you want the speed in feet/second, the mass must be in slugs, and the distance X must be in feet.
3640 lb = 113 slugs
(M/2) V^2 = 46 lb*X
Solve for V.
V^2 = 2*46*3010/113 = 2451 ft^2/s^2
If you are not familiar with the use of slugs for mass, do the problem with force, mass and distance in SI units, to get the velocity in m/s.
Answered by
sandhu
Thank you very much
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