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SOLUTION
Given =》
Mass of motor car = 1200kg
Uniform velocity = 90km/h
To Find =》
Acceleration and change in momentum
And calculate the magnitude of force required ??
Explanation =》
Mass of car, m = 1200 kg
Initial velocity of car, u = 90 km/h
= 90×1000m/60×60s
= 25m/s
Final velocity of car , v= 18km/h
= 18×1000m/ 60×60s
= 5m/s
Time Taken, t= 4s
As per definition,
Acceleration, a= v-u/t
= 5-25/4
= -20/4
= -5m/s²
Negative acceleration means that the car in under retardation
Change in momentum = m×(v-u)
= 1200×(5-25)
= 1200×(-20)
= -24000kg m/s
The negative change in momentum means that the car is slowing down.
And,
Magnitude of the force = m×a
= 1200×(-5)
= -6000kg m/s²
= -6000N
The negative sign indicates that the external force is acting in the direction opposite to the direction of motion.
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