Question

If motor A has twice as much horsepower as motor B, then motor A has the power capability to do _____. A.)twice the work in half the time b.)half the work in twice the time c.)the same work in half the time

Answer 1

Given:

Motor A has twice as much as horsepower as motor B

Required: Motor A has the power capability to do _____.

Step-by-step explanation:

Suppose motor A has power P'= 2P

Motor B has power P

The power is calculated by the formula

`Power=\frac{Work\text{ done}}{time}`

Motor A has power

`\begin{gathered} P^(\prime)=(W^(\prime))/(t^(\prime)) \\ 2P=(W^(\prime))/(t^(\prime)) \\ P=(W^(\prime))/(2t^(\prime)) \end{gathered}`

Motor B has power

`P=(W)/(t)`

Substituting the value of power from A

`(W^(\prime))/(2t^(\prime))=(W)/(t)`

Final Answer: The same work in half the time.