How many watts of power are required to exert a force of $30N$ over a distance of $100m$ in $1\mathrm{minute}$?

• A. $3000$ watts
• B. $30$ watts
• C. $50$ watts
• D. $180$ watts

Answer: (C)

Verified step by step guidance

1. Identify the given quantities: force \(F = 30\ \text{N}\), distance \(d = 100\ \text{m}\), and time \(t = 1\ \text{minute} = 60\ \text{seconds}\).
2. Calculate the work done using the formula for work: \(W = F \times d\).
3. Substitute the values into the work formula: \(W = 30 \times 100\).
4. Calculate the power using the formula: \(P = \frac{W}{t}\), where \(P\) is power, \(W\) is work, and \(t\) is time in seconds.
5. Substitute the values of work and time into the power formula: \(P = \frac{30 \times 100}{60}\) to find the power in watts.