Earth has a mass of 5.97x10^24kg and a radius of 6.38x10^6m. Find the wight of a 65.0kg person on the surface of the earth and 1000km above the surface of earth?

Weight= forceGravity=G*Me*65/(radiusearth+1000E3)^2

notice I put 1000km in meters..

To calculate the weight of a person on the surface of the Earth, you can use the formula for gravitational force:

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

where:
F is the gravitational force,
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2),
m1 is the mass of the person,
m2 is the mass of the Earth, and
r is the radius of the Earth.

Let's calculate the weight of the person on the surface of the Earth:

F = (6.67430 × 10^-11) * (65.0 kg) * (5.97 × 10^24 kg) / (6.38 × 10^6 m)^2

F = 3.52 × 10^2 N

Therefore, the weight of a 65.0 kg person on the surface of the Earth is approximately 352 N.

Now, let's calculate the weight of the person 1000 km above the surface of the Earth:

The radius of the Earth plus the distance above the surface is given by:
r + h = (6.38 × 10^6 m) + (1000 × 10^3 m) = 6.38 × 10^6 m + 1 × 10^6 m = 7.38 × 10^6 m

F = (6.67430 × 10^-11) * (65.0 kg) * (5.97 × 10^24 kg) / (7.38 × 10^6 m)^2

F = 2.78 × 10^2 N

Therefore, the weight of a 65.0 kg person 1000 km above the surface of the Earth is approximately 278 N.

To find the weight of a person on the surface of the Earth and 1000 km above its surface, we can use the equation:

Weight = mass x acceleration due to gravity

1. Weight on the surface of the Earth:
The acceleration due to gravity on the surface of the Earth is approximately 9.8 m/s^2. Since the mass of the person is given as 65.0 kg, we can calculate the weight using the formula:

Weight = 65.0 kg x 9.8 m/s^2

2. Weight 1000 km above the surface of the Earth:
First, we need to find the new radius of the Earth, which will be the sum of the radius of the Earth and the distance above the surface:

New radius = 6.38 x 10^6 m + 1.00 x 10^6 m

With the new radius, we can calculate the acceleration due to gravity at that distance using the formula:

Acceleration due to gravity = (gravitational constant x mass of the Earth) / (new radius)^2

where the gravitational constant is approximately 6.67 x 10^-11 N m^2/kg^2 and the mass of the Earth is 5.97 x 10^24 kg. Multiply the result by the mass of the person (65.0 kg) to find the weight:

Weight = mass x acceleration due to gravity

By following these steps, we can find the weight of a 65.0 kg person on the surface of the Earth and 1000 km above its surface.