The center of a 910 kg satellite is 9.9 ×106 m from Earth’s center.
What is the gravitational force between the satellite and Earth?
We can use the formula for gravitational force between two objects:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers.
In this case, m1 is the mass of the Earth (5.97 x 10^24 kg) and m2 is the mass of the satellite (910 kg). The distance between their centers is given as 9.9 x 10^6 m.
Plugging in the values, we get:
F = 6.67 x 10^-11 * (5.97 x 10^24 * 910) / (9.9 x 10^6)^2
F = 8.99 x 10^8 N
Therefore, the gravitational force between the satellite and Earth is approximately 8.99 x 10^8 N.
To find the gravitational force between the satellite and Earth, you can use the formula for the gravitational force:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.674 × 10^-11 N(m/kg)^2)
m1 and m2 are the masses of the two objects (in this case, the satellite and the Earth)
r is the distance between the centers of the two objects
In this case, the mass of the Earth (m1) is much larger than the mass of the satellite (m2), so we can consider the mass of the satellite negligible compared to the mass of the Earth. Therefore, the gravitational force can be calculated as:
F = G * m1 / r^2
Given that the mass of the Earth (m1) is approximately 5.972 × 10^24 kg and the distance between the centers of the satellite and Earth (r) is 9.9 × 10^6 m, we can substitute these values into the formula to calculate the gravitational force:
F = (6.674 ×10 ^-11 N(m/kg)^2) * (5.972 × 10^24 kg) / (9.9 × 10^6 m)^2
Calculating this equation will give you the gravitational force between the satellite and the Earth.
To calculate the gravitational force between the satellite and Earth, we can use the equation:
F = (G * m1 * m2) / r^2
where:
F is the gravitational force between the satellite and Earth,
G is the gravitational constant (6.67 × 10^-11 N m^2/kg^2),
m1 is the mass of the satellite,
m2 is the mass of Earth, and
r is the distance between the centers of the satellite and Earth.
Given:
m1 = 910 kg (mass of the satellite)
r = 9.9 × 10^6 m (distance between the centers)
Let's substitute the values into the equation:
F = (6.67 × 10^-11 N m^2/kg^2 * 910 kg * m2) / (9.9 × 10^6 m)^2
To continue, we need the mass of Earth, m2. The mass of Earth is approximately 5.972 × 10^24 kg.
Now we can calculate the gravitational force between the satellite and Earth.