A car of mass 1000 kg is traveling at 100 km/h is uniformly brought to rest over a distance of 40m. Find the deceleration and force.
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Explanation:
Force F = mass m × acceleration a
Retarding Force F = mass m × deceleration (-a)
100 km/h = (100×1000)/(60×60) m/s
To find deceleration, use formula v^2 = u^2 + 2as where v = final velocity 0 m/s, u = initial velocity (100×1000)/(60×60) m/s, a = deceleration , s = distance 40 m.
0^2 = (100×1000/60×60) + 2a(40) => a = -(100×1000/60×60)(1/(2×40)) = -25/72 m/s^2.
Average Braking Force F = mass × deceleration = 1 000 × (-25/72) = -347.2 N.
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