how far will 390 J raise an 8 kg mass?
To calculate how far the 390 J of energy will raise an 8 kg mass, we can use the gravitational potential energy formula:
Gravitational Potential Energy (GPE) = mass * gravity * height
Where:
- GPE is the gravitational potential energy in joules
- mass is the mass of the object in kilograms
- gravity is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)
- height is the vertical distance traveled by the object in meters
Rearranging the formula, we can solve for height:
height = GPE / (mass * gravity)
Plugging in the given values:
height = 390 J / (8 kg * 9.8 m/s^2)
height = 5
Therefore, 390 J of energy will raise an 8 kg mass to a height of approximately 5 meters.