What is the potential energy of something with a mass of 10g on a hill with a height of 5m?
PE=mgh
mass (10g) • gravity (10m/s) • height (5m) = 500
To calculate the potential energy of an object, you need to know both its mass and the height at which it is located. The formula for potential energy is:
Potential Energy = Mass × Acceleration due to gravity × Height
In this case, the mass is given as 10 grams, and the height is given as 5 meters. However, the formula requires the mass to be in kilograms. So, we need to convert the mass from grams to kilograms.
1 kilogram (kg) is equal to 1000 grams (g). Therefore, to convert 10 grams to kilograms, divide it by 1000:
Mass = 10 grams / 1000 = 0.01 kilograms
Now that we have the mass in kilograms, we can calculate the potential energy by plugging in the values into the formula:
Potential Energy = 0.01 kg × 9.8 m/s² × 5 m
The value of the acceleration due to gravity on Earth is approximately 9.8 m/s².
Now, you can multiply the mass (0.01 kg), the acceleration due to gravity (9.8 m/s²), and the height (5 m) to find the potential energy.