Question

If coralline (mass=72.0 kg) weighs herself and finds out she weight 85.2 pounds. how far away in meters ,from the center of earth is she?

Answer 1

To calculate the distance from the center of the Earth, use the equation for gravitational force. Substituting the given values, solve for r. Convert the weight from pounds to kilograms.

Step-by-step explanation:

To calculate the distance from the center of the Earth, we need to use the equation for the gravitational force between two objects:

F = G * ((m1 * m2) / r^2)

Given that the student's mass is 72.0 kg, her weight is 85.2 pounds (approximately 38.64 kg), and the mass of the Earth (m1) is 5.97 × 10²⁴ kg, we can substitute these values into the equation:

F = G * ((72.0 * 38.64) / r^2)

We can solve for r, which represents the distance from the center of the Earth:

r = sqrt((G * m1 * m2) / F)

Using the given values, we can calculate the value of r in meters.