Sally has a mass of 58.0 kg and Earth has a mass of 5.98 1024 kg. The radius of Earth is 6.371 106 m. What is the force of gravitational attraction between Sally and Earth? What is Sally's weight?
Use Newton's law.
force=G Me*Ms/r^2
I bet it turns out to be 58*9.8 N
To calculate the force of gravitational attraction between Sally and Earth, we can use Newton's law of universal gravitation. The formula is as follows:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravitational attraction
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
m1 is the mass of the first object (Sally's mass)
m2 is the mass of the second object (Earth's mass)
r is the distance between the centers of the two objects (Earth's radius)
Let's plug in the values into the formula:
m1 (Sally's mass) = 58.0 kg
m2 (Earth's mass) = 5.98 * 10^24 kg
r (Earth's radius) = 6.371 * 10^6 m
F = (6.67430 × 10^-11 m^3 kg^-1 s^-2 * 58.0 kg * 5.98 * 10^24 kg) / (6.371 * 10^6 m)^2
Calculating this expression will give us the force of gravitational attraction between Sally and Earth.
Now let's calculate Sally's weight. Weight is the force with which gravity pulls down on an object. It can be calculated using the formula:
Weight = mass * acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
Sally's mass is 58.0 kg, so we can calculate her weight using the formula:
Weight = 58.0 kg * 9.8 m/s^2
Calculating this expression will give us Sally's weight.