a powered winch is used to pull a sailboat to shore. the winch uses a 900 w motor. if the motor is used for…

a powered winch is used to pull a sailboat to shore. the winch uses a 900 w motor. if the motor is used for 30 s, how much work does it do? (power: p = w/t)\n0.03 j\n30 j\n960 j\n27,000 j

a powered winch is used to pull a sailboat to shore. the winch uses a 900 w motor. if the motor is used for 30 s, how much work does it do? (power: p = w/t)\n0.03 j\n30 j\n960 j\n27,000 j

Answer

Explanation:

Step1: Identify the formula

The power formula is $P=\frac{W}{t}$, where $P$ is power, $W$ is work - done, and $t$ is time. We can re - arrange it to solve for $W$: $W = P\times t$.

Step2: Substitute the given values

Given that $P = 900\ W$ and $t=30\ s$. Substitute these values into the formula $W = P\times t$. So, $W=900\times30$.

Step3: Calculate the work - done

$900\times30 = 27000\ J$.

Answer:

27,000 J