Final answer:
A butterfly of mass 1.0 g flying upwards at 0.5 m/s against gravity exerts a power of 4.9 × 10⁻³ watts.
Step-by-step explanation:
The question asks us to compare the power with which a butterfly is moving upwards against the force of gravity. The mass of the butterfly is given as 1.0 g (which equals 0.001 kg), and it flies upward at a rate of 0.5 m/s. To find the power at which the butterfly moves upwards, we can use the formula for power (P), which is the product of the force and the velocity in the direction of the force.
P = F × v
First, we will calculate the force exerted by the butterfly against gravity, known as weight (W).
W = m × g
W = 0.001 kg × 9.8 m/s² = 9.8 × 10⁻³ N
Now, we plug in the values into the power formula:
P = 9.8 × 10⁻³ N × 0.5 m/s = 4.9 × 10⁻³ W (watts)
As such, the butterfly exerts a power of 4.9 × 10⁻³ watts while moving upward against the force of gravity.