Work is equal to kinetic energy!
Ek = Kinetic energy
m = mass = 1400 kg
V1 = initial velocity = 95 km/h = 26.4 m/s
V2 = final velocity = 0 m/s because you want to stop this car and put it to rest. At rest, velocity is 0!
Your equation is...
Ek = [tex] \frac{1}{2} (m)(V₂)^2 - \frac{1}{2} (m)(V₁)^2 [/tex]
Now, just plug in your values!
Ek = [tex] \frac{1}{2} (1400)(0)^2 - \frac{1}{2} (1400)(26.4)^2 [/tex]
Ek = [tex] 0 - \frac{1}{2} (1400)(26.4)^2 [/tex]
Ek = [tex] - \frac{1}{2} (1400)(26.4)^2 [/tex]
Ek = [tex] - \frac{1}{2} (1400)(26.4)^2 [/tex]
Ek = [tex] - (700)(26.4)^2 [/tex]
Ek = -487872 J
Therefore, -487872 J must be applied to stop this car. Hope this helped and was one of your branliest answers :')
