how far will 350 J raise a 7 kg mass?
W = 350 J = M g H
Solve for the height, H
g = 9.8 m/s^2
M = 7 kg
H will be in meters if you use those units
gguyç
To determine how far 350 Joules (J) of energy will raise a 7-kilogram (kg) mass, we need to use the concept of gravitational potential energy and the formula:
Gravitational potential energy = mass * gravity * height
Where:
- Mass is the mass of the object (in kg)
- Gravity is the acceleration due to gravity (assuming 9.8 m/s^2 on Earth)
- Height is the distance the mass is raised (in meters)
Since we are given 350 J of energy, we can equate it to the gravitational potential energy:
350 J = mass * gravity * height
Plugging in the values:
350 J = 7 kg * 9.8 m/s^2 * height
To find the height, we can rearrange the equation:
height = 350 J / (7 kg * 9.8 m/s^2)
Calculating this:
height = 350 J / (68.6 kg * m/s^2)
height ≈ 0.505 meters
Therefore, 350 J of energy will raise a 7 kg mass approximately 0.505 meters.