A car that weighs 13600.0 N is initially movingat a speed of 38.0 km/hr when the

Question

A car that weighs 13600.0 N is initially movingat a speed of 38.0 km/hr when the brakes are applied and the car isbrought to a stop in 2.0 s. Find the magnitude of the force thatstops the car, assuming it is constant.
**** i found this magnitude=7.32×103 N
What distance does the car move during thistime? A car that weighs 13600.0 N is initially movingat a speed of 38.0 km/hr when the brakes are applied and the car isbrought to a stop in 2.0 s. Find the magnitude of the force thatstops the car, assuming it is constant.
**** i found this magnitude=7.32×103 N
What distance does the car move during thistime?

Explanation / Answer

   Initialspeed    u   =   38km/hr   =   38 * 5 /18   =   10.55   m/s    finalspeed   v   =   0,   time   t   =   2.0s    acceleration   a   =   (v- u) / t   =   ( 0 - 10.55) /2   =   -5.275   m/s2    -ve sign indiactes deacceleration and hencecan be dropped.    Force   F   =   Mass* a   =   weight * a /g   =   13600.0 * 5.275 /9.8   =   7.32 *103   N    Distancetraelled      s   =   u* t   +   (1/2) * a * t2    s   =   10.55* 2.0   +   0.5 * ( - 5.275) *22   =   10.55   m    s   =   10.55* 2.0   +   0.5 * ( - 5.275) *22   =   10.55   m

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