how far will 490 Joules raise a block weighing 7 newtons
To find out how far a block weighing 7 newtons can be raised using 490 Joules of energy, we need to use the formula:
Potential Energy (PE) = mgh
Where:
PE is the potential energy in joules
m is the mass of the block in kilograms
g is the acceleration due to gravity (approximately 9.8 m/s²)
h is the height the block is raised in meters
First, let's convert the weight of the block from newtons to kilograms:
Weight (W) = mass (m) × acceleration due to gravity (g)
7 N = m × 9.8 m/s²
m = 7 N ÷ 9.8 m/s² ≈ 0.71 kg
Now we can rearrange the formula to solve for height (h):
PE = mgh
h = PE ÷ (mg)
h = 490 J ÷ (0.71 kg × 9.8 m/s²)
h ≈ 68.7 meters
Therefore, 490 Joules of energy will raise the block weighing 7 newtons to a height of approximately 68.7 meters.