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

82.5kg

Step-by-step 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 =
`(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
`(1000)/(3600)` = 27.78m/s

a =
`(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 =
`(850)/(10.3)` = 82.5kg