petersenpaigea petersenpaigea
  • 16-11-2018
  • Physics
contestada

A 1200 kg racecar is traveling at 175m/s is slowed to a stop. What is the force required to stop the car in a distance of 120m?

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JemdetNasr JemdetNasr
  • 26-11-2018

m = mass of the race car = 1200 kg

v₀ = initial velocity of the race car = 175 m/s

v = final velocity of the race car as it comes to stop = 0 m/s

d = stopping distance of the race car = 120 m

a = acceleration of race car while slowing down

using the kinematics equation

v² = v₀² + 2 a d

0² = 175² + 2 a (120)

a = - 127.6 m/s²

magnitude of force required to stop the car is given as

F = ma

F = 1200 x 127.6

F = 153120 N

hence the force required to stop the car is 153120 N

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