Calculate the gravitational potential at a point on the earth surface radius of the earth 6.7*10^_11m mass of earth 6.0* 10nm^2kg^_2
To calculate the gravitational potential at a point on the Earth's surface, we can use the formula for gravitational potential energy:
Gravitational Potential = (G * M) / R
Where:
G is the gravitational constant = 6.67430 × 10^-11 N(m/kg)^2
M is the mass of the Earth = 5.972 × 10^24 kg
R is the radius of the Earth = 6.7 × 10^6 m
Let's substitute the values into the formula:
Gravitational Potential = (6.67430 × 10^-11 N(m/kg)^2 * 5.972 × 10^24 kg) / 6.7 × 10^6 m
To simplify the expression, we can divide the numerator and denominator by 10^6:
Gravitational Potential = (6.67430 × 5.972) / (6.7)
Now, let's calculate it:
Gravitational Potential = 3.987797 × 10^14 N/kg
Therefore, the gravitational potential at a point on the Earth's surface is approximately 3.987797 × 10^14 N/kg.