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Please show steps so I may be able to do it on my own in the future. A NASCAR ra

ID: 2008475 • Letter: P

Question

Please show steps so I may be able to do it on my own in the future.
A NASCAR racecar rounds one end of the martinsville speedway. This end of the track is a turn with radius approximately 187ft. If we approximate the track to be completely flat and the racecar is traveling at a constant 56.00mph around the turn, what is the racecars centripetal (radial) acceleration?
_______ft/s^2
convert this result to SI units.
________m/s^2

What is the force responsible for the centripetal acceleration in this case? (choose one) weight, normal,friction,or gravity.
_________
To keep from skidding into the wall on the outside of the turn what is the minimum coefficient of static friction between the racecar's tires and track?
___________

Explanation / Answer

given that adius of track   r = 187ft = 187 * 0.3048m = 56.99m    sped of car v = 56 mph   = 56 * 1.467 ft/s = 82.152 ft/s                           or 56 * 0.4470 m/s = 25 m/s centripetal accleration   a = v2/r                                          = 36 ft/s2 in SI units   a = 10.96 m/s2    normal and frictional and gravity forces     v = rs g    v2/ rg = s        = 1.11        = 1.11