Question

The sports car accelerates from 0 to 100 in 2.7 seconds
km/h
How much does the driver of this car weigh when he is subjected to 850 N during acceleration?

Answer 1

Answer:

82.5kg

Explanation:

Given parameters:

Initial velocity  = 0km/hr

Final velocity = 100km/hr

Force  = 850N

Unknown:

Weight of the driver = ?

Solution:

To solve this problem. It is crucial to find the acceleration of the car first.

  Acceleration is the rate of change of velocity with time;

          a  = $\frac{v- u}{t}$

v is final velocity

u is initial velocity

t is the time taken

  Before proceeding, convert the unit of velocity to m/s

  100km/hr  = 100 x $\frac{1000}{3600}$   = 27.78m/s

 a   = $\frac{27.78 - 0}{2.7}$   = 10.3m/s²

Now to find the weight;

        F  = m x a

       m is the mass

        a is the acceleration

       

      m  = $\frac{850}{10.3}$    = 82.5kg