16. A motor does \( 5,000 \mathrm{~J} \) of work in 20 seconds. What is the power of the motor? Type a response 17. A machine that uses 200 W of power moves an object a distance of 15 m in 25 s . Find the work done by the machine. Type a response A woman runs a kilometer using a force of 210 N and a power output of 500 W . How long in seconds (s) does it take this woman to complete 1000 m? Type a response 8. Ther

To find the power of the motor, use the formula: Power \( P = \frac{W}{t} \), where \( W \) is work done (in joules) and \( t \) is time (in seconds). Plugging in the values, we get \( P = \frac{5000 \, \text{J}}{20 \, \text{s}} = 250 \, \text{W} \). So, the power of the motor is 250 Watts. In the case of the machine using 200 W, the work done can again be calculated using the formula: Work \( W = P \times t \). First, convert the time from seconds to minutes if needed, but here we have \( W = 200 \, \text{W} \times 25 \, \text{s} = 5000 \, \text{J} \). Thus, the work done by the machine is 5000 joules. To find out how long it takes the woman to run 1000 m with a power output of 500 W and a force of 210 N, we first calculate the work done. Work is defined as \( W = F \times d \). Thus, \( W = 210 \, \text{N} \times 1000 \, \text{m} = 210000 \, \text{J} \). Now, using the power formula \( P = \frac{W}{t} \), rearranging gives \( t = \frac{W}{P} = \frac{210000 \, \text{J}}{500 \, \text{W}} = 420 \, \text{s} \). Therefore, it takes the woman 420 seconds to complete the distance. But remember, if you ever find yourself confused by units, it helps to jot down what you're working with. Mistakes often arise when mixing up joules, watts, and newtons. A small note can save you a big headache! If you’re geeky for more about how these concepts apply, check out some physics textbooks or educational websites aimed at making physics not just digestible but fun! Look for interactive applications of power and work that engage with real-world machinery—it's enlightening!