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Kepler's Third Law: Calculations

Authored by Alexandra Lennon

Physics

11th Grade

Kepler's Third Law: Calculations
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to calculate the orbital period of a planet?

T = 2π√(GM/a^3)

T = 2π√(a^3/GM)

T = 2π√(a/GM)

T = 2π√(a^2/GM)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the constant 'k' in Kepler's Third Law equation?

k = T^2 / a^3

k = T / a

k = T^2 * a^3

k = T^3 / a^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a planet has an orbital period of 1 year, what is its semi-major axis in AU according to Kepler's Third Law?

0.5 AU

5 AU

1 AU

2 AU

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the orbital period of a planet related to its semi-major axis according to Kepler's Third Law?

The orbital period of a planet is not related to its semi-major axis.

The orbital period of a planet is related to its semi-major axis by the equation T^2 ∝ a^3.

The orbital period of a planet is related to its semi-major axis by the equation T = a.

The orbital period of a planet is related to its semi-major axis by the equation T^2 = a^2.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the units of measurement for the constant 'k' in Kepler's Third Law equation?

(distance)^2/(time)^3

(time)^3/(distance)^2

(distance)^3/(time)^2

(time)^2/(distance)^3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate the semi-major axis of a planet with an orbital period of 2 years using Kepler's Third Law.

3.1415

2.5874

1.5874

0.5874

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Explain the significance of Kepler's Third Law in understanding planetary motion.

Kepler's Third Law explains the formation of black holes

Kepler's Third Law relates the orbital period and distance of a planet from the Sun, aiding in the comprehension of planetary motion.

Kepler's Third Law only applies to moons, not planets

Kepler's Third Law is irrelevant to planetary motion

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