A car of mass 2000 kg changes its speed from 72 km/h to 36 km/h in 5 second. The force applied by its brake is [1] (1) 4000 N (2) 400 N (3) 1000 N (4) 2000 N
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Given -
* Mass = 2000 kg
* Speed changes from 72 km/hr to 36 km/hr
* Time = 5 seconds
To Find -
* Force applied by the brake ?
Solution -
Converting the speed given :
* 72 * 5/18 = 20 m/s
* 36 * 5/18 = 10 m/s
Finding acceleration : (v - u)/t
⇒ a = (10 - 20)/5
⇒ a = -10/5
⇒ a = -2 m/s²
Now, Force = Mass * Acceleration
➸ F = 2000 * -2
➸ F = -4000 N
Therefore, Force applied by the brakes on the car is 4000 N in the opposite direction.
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