how much work is required to lift a 50 gram (0.050 kg) arrow to a height of 100 meters

Answer 1

To calculate the work required to lift the arrow, we can use the formula for work:

Work = Force × Distance

First, let's calculate the force required to lift the arrow. The force can be determined using Newton's second law of motion:

Force = mass × acceleration

Since the arrow is not accelerating vertically, we can use the acceleration due to gravity (9.8 m/s²).

Force = 0.050 kg × 9.8 m/s² = 0.49 N

Now that we have the force required, we can calculate the work:

Work = Force × Distance

Work = 0.49 N × 100 m = 49 Joules

Therefore, it would require 49 Joules of work to lift the 50 gram arrow to a height of 100 meters.