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question 6 (1 point) at what rate is a 60.0-kg boy using energy when he…

Question

question 6 (1 point)
at what rate is a 60.0-kg boy using energy when he runs up a flight of stairs 10.0-m
high, in 8.00 s?
75.0 w
735 w
4.80 kw
48 w

Explanation:

Step1: Calculate gravitational potential energy

The formula for gravitational potential energy is \( PE = mgh \), where \( m = 60.0\,\text{kg} \), \( g = 9.8\,\text{m/s}^2 \), and \( h = 10.0\,\text{m} \).
\( PE = 60.0 \times 9.8 \times 10.0 = 5880\,\text{J} \)

Step2: Calculate power (energy rate)

Power \( P \) is energy over time, so \( P=\frac{PE}{t} \), where \( t = 8.00\,\text{s} \).
\( P=\frac{5880}{8.00}=735\,\text{W} \)

Answer:

735 W