How much potential energy is required to lift a 50 gram arrow to a height of 100 meters?
To calculate the potential energy required to lift an object, you can use the formula:
Potential Energy (PE) = mass (m) × gravity (g) × height (h)
Where:
- mass (m) is the mass of the object in kilograms (kg)
- gravity (g) is the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s²)
- height (h) is the vertical distance in meters (m)
In this case, the mass of the arrow is given as 50 grams. To convert grams to kilograms, divide it by 1000:
mass (m) = 50 grams ÷ 1000 = 0.05 kg
Now, substitute the given values into the formula:
PE = 0.05 kg × 9.8 m/s² × 100 m
Calculating this:
PE = 0.05 kg × 980 J/kg × 100 m
PE = 490 J
Therefore, the potential energy required to lift the 50 gram arrow to a height of 100 meters is 490 Joules.