# Math

The gravitational acceleration, g, on the Earth is proportional to the mass, M, of the Earth and inversely proportional to the square of the distance, r, from the Earth's center. If the gravitational acceleration on the center of the Earth is 9.8 m/s^2, what is the gravitational acceleration at a distance of 6,404,000km from the center of the Earth. The Earth has a radius of 6,378,000m and has a mass of 5.97 x 10^24kg. Give answer to two decimal places.

1. 👍 0
2. 👎 0
3. 👁 241
1. since F = GMm/r^2
and we are changing only r, then if we change r by a factor of k, F changes by a factor of 1/k^2

6,404,000/6,378,000 = 1.0040765, so
F changes by a factor of 1/1.0081696 = 0.992

so, F = 0.992 * 9.8 = 9.72 m/s^2

1. 👍 0
2. 👎 0
2. Physics

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

calculate the centripetal acceleration of the earth in its orbit around the sun and the net force exerted on the earth. What exerts this force on the earth? Assume that the earth's orbit is a circle of radius 1.50x10^11m. (earth's

2. ### Physics

If you weigh 670 N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 15.0 km ? Take the mass of the sun to be ms = 1.99×1030 kg , the gravitational

3. ### Physics [Help, need answer in 10 min]

During a solar eclipse, the moon (of mass 7.36 × 1022 kg), Earth (of mass 5.98 × 1024 kg), and Sun (of mass 1.99 × 1030 kg) lie on the same line, with the moon between Earth and the Sun. What gravitational force is exerted on

4. ### physics

If you weigh 650 N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 15.0 km ? Take the mass of the sun to be ms = 1.99×10^30 kg, the gravitational

1. ### Physics

A satellite used in a cellular telephone network has a mass of 2160 kg and is in a circular orbit at a height of 670 km above the surface of the earth. What is the gravitational force Fgrav on the satellite? Take the gravitational

2. ### Physics

1. Which is NOT true about the variables in the relationship F = ma? Acceleration is directly proportional to mass. Force is directly proportional to mass. Force is directly proportional to acceleration. Acceleration will double

3. ### Physics

The earth has about 80 times the mass of the earth’s moon. The gravitational force exerted on the moon by the earth has what relation to the gravitational force exerted on the earth by the moon? 1. the same as 2. zero; the earth

4. ### calculus

(1 pt) The acceleration due to gravity, g, is given by g = (G*M)/(r^2) where M is the mass of the Earth, r is the distance from the center of the Earth, and G is the uniform gravitational constant. (a) Suppose that we change from

1. ### Physics

I have a hard time solving this problem. The weight of an object at the surface of a planet is proportional to the planet's mass and inversely proportional to the square of the radius of the planet. Jupiter's radius is 11 times

2. ### physics

A student with mass 50 kg jumps off a high diving board.Using 6.0×1024 kg for the mass of the earth, what is the acceleration of the earth toward her as she accelerates toward the earth with an acceleration of 9.8 m/s2 ? Assume

3. ### Physics

A student with mass 55 kg jumps off a high diving board. Using 6.0×10^24 kg for the mass of the earth, what is the acceleration of the earth toward her as she accelerates toward the earth with an acceleration of 9.8 m/s2 ? Assume

4. ### physics

radius R of the orbit of a geosynchronous satellite that circles the earth. (Note that R is measured from the center of the earth, not the surface.) You may use the following constants: The universal gravitational constant G is