Question

three friends each do work to push an object across the room. katie does 400 j of work while pushing her object across the room in 6 seconds. alice does 300 j of work while pushing her object across the room in 7 seconds. alyssa does 350 j of work while pushing her object across the room in 5 seconds. which friend has the largest power output? (1 point) katie alyssa alice they all three have the same power output

Explanation:

Step1: Calculate Katie's power

Power formula is \(P=\frac{W}{t}\). For Katie, \(W = 400\space J\) and \(t=6\space s\). So \(P_{Katie}=\frac{400}{6}\approx66.67\space W\)

Step2: Calculate Alice's power

For Alice, \(W = 300\space J\) and \(t = 7\space s\). So \(P_{Alice}=\frac{300}{7}\approx42.86\space W\)

Step3: Calculate Alyssa's power

For Alyssa, \(W = 350\space J\) and \(t=5\space s\). So \(P_{Alyssa}=\frac{350}{5}=70\space W\)

Answer:

B. Alyssa