Which of the following changes to the earth-sun system would reduce the magnitude of the force between them to one-fourth the value found in part a?

reduce the mass of the earth to one-fourth its normal value.
reduce the mass of the sun to one-fourth its normal value.
reduce the mass of the earth to one-half its normal value and the mass of the sun to one-half its normal value.
increase the separation between the earth and the sun to four times its normal value.

-Reduce the mass of the earth to one-fourth its normal value.

-Reduce the mass of the sun to one-fourth its normal value.

-Reduce the mass of the earth to one-half its normal value and the mass of the sun to one-half its normal value.

Explanation:

The force (F) between two massive bodies (earth-sun system) is given by the following equation:

Where "g" is the gravitational constant "Me" is Earth's mass, "Ms" is the Sun's mass and "r" is the separation between the Earth and the Sun.

1-) If we reduce the mass of the earth to one-fourth its normal value:

2-) Reduce the mass of the sun to one-fourth its normal value.

3-) Reduce the mass of the earth to one-half its normal value and the mass of the sun to one-half its normal value.

4-) Increase the separation between the earth and the sun to four times its normal value.

.

Therefore, changes 1, 2 and 3 would reduce the magnitude of the force between them to one-fourth of the original value.

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.

the maxium height is 34m/s