Calculate the force of gravity on a 1-kg mass at Earth's surface. Mass of Earth is 6.0 x 10^24th powerkg and Radius is 6.4 x
10^6th power m
To calculate the force of gravity on a 1-kg mass at Earth's surface, we will use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity
G is the gravitational constant (approximately 6.67430 x 10^-11 N m^2/kg^2)
m1 is the mass of the first object (in this case, the 1-kg mass)
m2 is the mass of the second object (in this case, the mass of Earth)
r is the distance between the centers of the two objects (in this case, the radius of Earth)
Plugging in the values:
m1 = 1 kg
m2 = 6.0 x 10^24 kg
r = 6.4 x 10^6 m
F = (6.67430 x 10^-11 N m^2/kg^2 * 1 kg * 6.0 x 10^24 kg) / (6.4 x 10^6 m)^2
Now, let's calculate it step by step:
Step 1: Calculate the value inside the parentheses:
= (6.67430 x 10^-11 N m^2/kg^2 * 1 kg * 6.0 x 10^24 kg)
= 4.00458 x 10^14 N m^2/kg
Step 2: Calculate the square of the radius (r):
= (6.4 x 10^6 m)^2
= 4.096 x 10^13 m^2
Step 3: Divide the value from Step 1 by the value from Step 2:
= (4.00458 x 10^14 N m^2/kg) / (4.096 x 10^13 m^2)
= 9.775 x 10^0 N
Finally, the force of gravity on a 1-kg mass at Earth's surface is approximately 9.775 N.
To calculate the force of gravity on a 1-kg mass at Earth's surface, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
- F is the force of gravity
- G is the gravitational constant (approximately 6.67 x 10^-11 N(m/kg)^2)
- m1 is the mass of the first object (in this case, the mass of Earth)
- m2 is the mass of the second object (in this case, the mass of the 1-kg object)
- r is the distance between the centers of the two objects (in this case, the radius of Earth)
Plugging in the given values:
- m1 = 6.0 x 10^24 kg
- m2 = 1 kg
- r = 6.4 x 10^6 m
Calculating the force of gravity:
F = (6.67 x 10^-11 N(m/kg)^2 * 6.0 x 10^24 kg * 1 kg) / (6.4 x 10^6 m)^2
F = (3.74 x 10^14 N(m/kg)^2 * kg) / (4.10 x 10^13 m^2)
F = 9.15 N
Therefore, the force of gravity acting on a 1-kg mass at Earth's surface is approximately 9.15 Newtons.