A 5kg package is lifted vertically through 10m at constant speed. What is the potential energy of the package if acceleration due to gravity is 10m5 to power negative 2
I guess you mean g = 10 m/s^2
Work done = increase in potential = m g * increase in height
= 5 kg * 10 m/s^2 * 10 m
= 500 Newton meters = 500 Joules
To calculate the potential energy of the package, we can use the formula:
Potential Energy = mass × acceleration due to gravity × height
Given:
mass (m) = 5 kg
acceleration due to gravity (g) = 10 m^(-2)
height (h) = 10 m
Substituting the given values into the formula, we can calculate the potential energy:
Potential Energy = 5 kg × 10 m^(-2) × 10 m
Potential Energy = 5 × 10 × 10 kg m^2 s^(-2)
Since kg m^2 s^(-2) is equivalent to Joules (J), the unit of energy, we can simplify:
Potential Energy = 500 J
Therefore, the potential energy of the 5kg package lifted vertically through 10m at a constant speed is 500 Joules.
To find the potential energy of the package, we need to use the formula:
Potential energy = mass * acceleration due to gravity * height
Given:
- Mass of the package = 5 kg
- Acceleration due to gravity = 10^(-5) m/s^2
- Height = 10 m
Now, let's plug in the values into the formula:
Potential energy = 5 kg * 10^(-5) m/s^2 * 10 m
First, let's simplify the expression:
Potential energy = 5 * 10^(-5) * 10
To multiply 5 by 10^(-5), we move the decimal point 5 places to the left:
Potential energy = 0.00005 * 10
Multiplying 0.00005 by 10, we get:
Potential energy = 0.0005 J
Therefore, the potential energy of the package is 0.0005 Joules.