The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s = 35, P = 1760.
Work out the power (to 1 DP) when the speed is 40 m/s

Respuesta :

Answer:

P = 2288 W

Step-by-step explanation:

The power, P (watts), of a car engine is proportional to the square of its speed i.e.

[tex]P\propto s^2[/tex]

or

[tex]P=ks^2[/tex]

Put s = 35, P = 1760 to find k.

[tex]k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43[/tex]

Now put k = 1.43 and s = 40. So,

[tex]P=1.43\times (40)^2\\\\P=2288\ W[/tex]

So, the new power is 2288 W when the speed is 40 m/s.