How far will 490 J raise an 8 kg mass?
The weight is M*g = 78.4 N
490 J/(M*g) = ___ m
6.25
How far will 350 J raise a block weighing 7 N?
To find out how far a given amount of work will raise a mass, we can use the concept of gravitational potential energy and the work-energy principle.
First, we need to find the gravitational potential energy (GPE) of the mass. The formula for calculating GPE is:
GPE = m * g * h
Where:
- m is the mass (in kilograms)
- g is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
- h is the height (in meters)
In this case, the GPE is given as 490 J (joules), the mass is 8 kg, and we want to find the height. Rearranging the formula, we get:
h = GPE / (m * g)
Plugging in the values, we have:
h = 490 J / (8 kg * 9.8 m/s²)
Simplifying the equation gives us:
h ≈ 6.275 meters
Therefore, 490 J of work will raise an 8 kg mass approximately 6.275 meters.