Question

A vehicle with a mass of 1250.0 kg accelerates from 0 to 50 km/h in 10.0 s. What is the net force on the vehicle?

Answer 1

1,736.1N

Step-by-step explanation:

The information we have is:

mass:
`m==1,250kg`

initial velocity:
`v_(i)=0`

final velocity:
`v_(f)=50km/h`

we need to converto to m/s:

`v_(f)=(50km)/(h)*(1h)/(3,600s) *(1000m)/(1km) \\v_(f)=13.89m/s`

time:
`t=10s`.

First we need to calculate the acceleration:

`a=(v_(f)-v_(i))/(t)`

substituting the values:

`a=(13.89m/s-0)/(10s) \\a=1.389m/s^2`

and now we use Newton's second law to calculate the net force:

`F=ma`

substituting the mass and acceleration:

`F=(1250kg)(1.389m/s ^2)\\\\F=1,736.1N`

the net force on the vehicle is in Newtons is: 1,736.1N