Aliviahayes6idn
Answered

Find solutions to your problems with the expert advice available on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

A student reads the statement shown.

"The force of gravity exerted on an object decreases as the distance between the objects increases."

Using this statement, what inference can the student make regarding the movement of the planets around the Sun?

A. The orbital speeds of larger planets will be faster than smaller planets.

B. The orbital speeds of gaseous planets will be faster than rocky planets.

C. The orbital speeds of planets closer to the Sun will be faster than planets farther away.

D. The orbital speeds of planets with smoother surfaces will be faster than planets with rougher surfaces.​

Sagot :

Indrawboyidn

Answer: C. The orbital speeds of planets closer to the Sun will be faster than planets farther away.

Explanation:

Centripetal force = gravitational force

[tex]\tt m\dfrac{v^2}{r}=Fg[/tex]

[tex]\tt Fg=G\dfrac{M.m}{r^2}[/tex]

Fg inversely proportional to distances (r)

[tex]\tt v^2=\dfrac{Fg.r}{m}[/tex]

because the value of the gravitational force is getting smaller as the distance is getting further from the sun, the orbital speed of the planet will be getting smaller

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.