Question

A car of 1000 kg starts to move from rest and travels a distance of 150 m in 10 second. How much force is needed?​

Answer 1

• Initial velocity=u=0m/s
• Distance=s=150m
• Time=t=10s
• Acceleration=a

Using second equation of kinematics

`\\ \sf\longmapsto s=ut+(1)/(2)at^2`

`\\ \sf\longmapsto 150=0(10)+(1)/(2)a(10)^2`

`\\ \sf\longmapsto 150=(1)/(2)* 100a`

`\\ \sf\longmapsto 50a=150`

`\\ \sf\longmapsto a=(150)/(50)`

`\\ \sf\longmapsto a=3m/s^2`

• Mass=m=1000kg
• Force=F

Using newtons second law

`\\ \sf\longmapsto F=ma`

`\\ \sf\longmapsto F=1000(3)`

`\\ \sf\longmapsto F=3000N`