Question

One horsepower is a unit of power equal to 746 W. How much energy can a 150-horsepower engine transform in 10.0 s?

Answer 1

`E = 1119000\ joules`

Step-by-step explanation:

Given:

`1\ Hp = 746\ watt`

time (t = 10.0 sec)

power = 150 Hp

We need to find the energy transformed by a 150 Hp engine in 10 s.

Solution:

First we convert 150 Hp in watt.

`1\ Hp = 746\ watt`

`150\ Hp = 150* 746\ watt`

`150\ Hp = 111900\ watt`

So, power (p = 111900 watt)

We know that, if we multiply power by time, we get energy transform by engine.

`P = (E)/(t)`

`E = P* t\ joule` -----------(1)

Where:

P ⇒ power.

E ⇒ Energy.

t ⇒ time.

Substitute p = 111900 watt and t = 10 s in equation 1.

`E = 111900* 10`

`E = 1119000\ joules`

Therefore, a 150 Hp engine could transform 1,119,000 joules energy in 10 s.