Physics, 16.11.2020 16:50 katieh149

Earth is 1.5 ✕ 1011 m from the Sun. Neptune is 4.5 ✕ 1012 m from the Sun. How does the gravitational field of the Sun on Neptune (gSN) compare to the gravitational field of the Sun on Earth (gSE)?

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Answer from: bri9263

The gravitational field of the Sun on Earth is greater than the gravitational field of the Sun on Neptune.

Explanation:

From Newton's law of universal gravitation,

F = $\frac{GMm}{R^{2} }$ ............. 1

where F is the force, G is the gravitational constant, M is the mass of the bigger object, m is the mass of the smaller object and R is the distance between their centers.

Also, Newton's second law of motion state;

F = mg ................ 2

where F is the force, m is the mass and g is the gravitational force.

Equating 1 and 2,

mg = $\frac{GMm}{R^{2} }$

⇒ g = $\frac{GM}{R^{2} }$

Given that the distance between the Sun and Earth is 1.5 x $10^{11}$ m, then the gravitational field of the Sun on Earth,

gSE = $\frac{GM}{(1.5*10^{11}) ^{2} }$

= $\frac{GM}{2.25*10^{22} }$ .................. 3

Given that the distance between the Sun and Neptune is 4.5 x $10^{12}$ m, then the gravitational field of the Sun on Neptune,

gSN = $\frac{GM}{(4.5*10^{12}) ^{2} }$

= $\frac{GM}{2.025*10^{25} }$ ............. 4

Comparing equations 3 and 4, it can be observed that gSE > gSN.

The gravitational field of the Sun on Earth is greater than the gravitational field of the Sun on Neptune.

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

Answer from: Quest

It indicates no change in temperature and the process of matter changing its state

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Earth is 1.5 ✕ 1011 m from the Sun. Neptune is 4.5 ✕ 1012 m from the Sun. How does the gravitational...

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