A 1430 kg car speeds up from 7.50 m/s to 11.0 m/s in 9.30 s. Ignoring friction, how much power did that require?(unit=W)PLEASE HELP

Respuesta :

Answer:

4982.8 W

Explanation:

Given the mass of the car = 1430 kg

initial speed = 7.5m/sec

final speed = 11.0 m/sec

time = 9.30sec

Assuming constant accelration a We know that

v=u+at

11=7.5+9.3a

a=0.376 [tex]m/sec^2[/tex]

We know that F=ma

F= [tex]1430*0.376 = 538.2N[/tex]

We know that [tex]v^2-u^2=2as[/tex]

[tex]11^2-7.5^2=2*0.376*s[/tex]

s= 86.10m

We know that work(W)=[tex]F*s[/tex]

W= [tex]538.2*86.10[/tex] = 46339.02J = 46.34KJ

We know that power= [tex]\frac{work}{time}[/tex] = [tex]\frac{46.34}{9.3}=4.982[/tex] KW