Calculate the force of gravity on a 16 kg mass at Earth's surface. The mass of Earth is 6. 1024 kg, and its radius is 6.4 106 m.
A satellite orbiting Earth has a tangential velocity of 5000 m/s. Earth’s mass is 6 × 1024 kg and its radius is 6.4 × 106 m.
The distance of the satellite from Earth, written in standard notation, is____ m.
To calculate the force of gravity on a mass at Earth's surface, we can use Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
where F is the force of gravity, G is the gravitational constant (approximately 6.67430 x 10^-11 m^3 kg^-1 s^-2), m1 and m2 are the masses of the two objects (in this case, the mass of the Earth and the mass of the object), and r is the distance between the centers of the two objects (in this case, the radius of the Earth).
Let's plug in the values:
m1 = mass of the object = 16 kg
m2 = mass of the Earth = 6.1024 x 10^24 kg
r = radius of the Earth = 6.4 x 10^6 m
G = 6.67430 x 10^-11 m^3 kg^-1 s^-2
Now, we can calculate the force of gravity:
F = (G * m1 * m2) / r^2
= (6.67430 x 10^-11 * 16 * 6.1024 x 10^24) / (6.4 x 10^6)^2
Calculating this equation will give us the force of gravity on the 16 kg mass at Earth's surface.