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Question

A motorcar of mass 1200 kg is moving along a straight line with a uniform velocity of 90 km/h. Its velocity is slowed down to 18 km/h in 4 s by an unbalanced external force. Calculate the acceleration and change in momentum. Also calculate the magnitude of the force required?


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Solution

Step 1:Given data

Mass of the motor car, m=1200kg

The initial velocity of the motor car,= u=90km/h=25m/s

The final velocity of the motor car, v=18km/h=5m/s

Time taken,t=4s

Step 2: Determine the change in momentum

By using the momentum formula,

ΔP=mvmuΔP=1200×5-1200×25ΔP=-24000kgm/s

Step 3: Calculate the acceleration and magnitude of the force

By using the acceleration formula,

V=u+at5=25+a×4a=-5m/s2

Let's find the magnitude of force,

F=maF=1200×5F=6000N

Thus, the acceleration, change in momentum and the magnitude of the force is a=-5m/s2,P=-24000kgm/s,F=6000N.


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