Question

Calculate the acceleration of a 1000 kg car if the motor provides a small thrust of 1000 N and the static and dynamic friction coefficient is 0.5. Take g = 9.81 m

Answer 1

Explanation :

It is given that,

Mass of the car, m = 1000 kg

Force applied by the motor,
`F_A=1000\ N`

The static and dynamic friction coefficient is,
`\mu=0.5`

Let a is the acceleration of the car. Since, the car is in motion, the coefficient of sliding friction can be used. At equilibrium,

`F_A-\mu mg=ma`

`(F_A-\mu mg)/(m)=a`

`a=(1000-0.5(1000)(9.81))/(1000)`

`a=-3.905\ m/s^2`

So, the acceleration of the car is
`-3.905\ m/s^2`. Hence, this is the required solution.