Question

A car moving with speed 20 m/s is to be stopped after 100 m. what force must be applied on if Mass of car is 2000 kg?

Answer 1

Answer:

F=16000 kg•m/s² or

F=16000 N

Step-by-step explanation:

GIVEN:

velocity (v)=20 m/s

distance (d)=100 m

mass (m)=2000 kg

REQUIRED:

t=? >time is a requirement to find the acceleration

a=? >acceleration is a requirement to find the Force

F=?

SOLUTION:

eq.1

v=d/t

vt=d

t=d/v

t=100m/20 m/s >cancel the unit (m)

t=5 s

eq.2

a=(2d)/t²

a=(2×100m)/(5s)²

a=200m/25 s²

a=8 m/s²

eq.3

F=ma

F=(2000kg)(8 m/s²)

F=16000 kg•m/s² or

F=16000 kg•m/s² orF=16000 N