Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Classical Mechanics

Orbits

Concept Quizzes

Deriving Kepler's Laws
Applying Kepler's Laws
Characteristics of Circular Orbits

Challenge Quizzes

Orbits: Level 2-4 Challenges

Characteristics of Circular Orbits

A satellite with mass $m = 3.00 \times 10 ^4 \text{ kg}$ goes around a planet with mass $M = 6.00 \times 10 ^{17} \text{ kg}$ in a circular orbit of radius $R = 4.00 \times 10^6 \text{ m}.$ Find the approximate orbital speed $v$ for the satellite.

The universal gravitational constant is $G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.$

4.74

\text{ m/s}

3.16

\text{ m/s}

6.32

\text{ m/s}

1.58

\text{ m/s}

Show explanation

View wiki

by Brilliant Staff

A satellite of mass $m = 4.00 \times 10 ^4 \text{ kg}$ orbtis around a planet of mass $M = 6.00 \times 10 ^{17} \text{ kg}.$ If the satellite's gravitational potential energy is $U=-4.00 \times 10^5 \text{ J},$ what is the approximate kinetic energy of the satellite?

Details

The universal gravitational constant is $G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.$

4.00 \times 10^4 \text{ J}.

3.35 \times 10^6 \text{ J}.

2.00 \times 10^5 \text{ J}.

2.00 \times 10^6 \text{ J}.

Show explanation

View wiki

by Brilliant Staff

A satellite with mass $m = 2.00 \times 10 ^4 \text{ kg}$ goes around a planet with mass $M = 8.00 \times 10 ^17 \text{ kg}$ in a circular orbit of radius $R.$ If the speed of the satellite is $v = 5.17 \text{ m/s},$ whatis the approximate angular momentum of the satellite?

The universal gravitational constant is $G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.$

1.38

\times 10^{11} \text{ kg} \cdot \text{m}^2 \text{/s}

2.07

\times 10^{11} \text{ kg} \cdot \text{m}^2 \text{/s}

2.07

\times 10^{9} \text{ kg} \cdot \text{m}^2 \text{/s}

1.38

\times 10^{10} \text{ kg} \cdot \text{m}^2 \text{/s}

Show explanation

View wiki

by Brilliant Staff

A satellite of mass $m = 4.00 \times 10^4 \text{ kg}$ orbits around a planet while maintaining a height of $h = 500 \text{ km}$ from its surface. If the planet has mass $M = 9.00 \times 10 ^{17} \text{ kg}$ and radius $R = 1.50 \times 10^6 \text{ m},$ what is the approximate kinetic energy of the satellite?

The universal gravitational constant is $G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.$

4.00

\times 10^3 \text{ J}

4.00

\times 10^4 \text{ J}

5.42

\times 10^6 \text{ J}

6.00

\times 10^5 \text{ J}

Show explanation

View wiki

by Brilliant Staff

A satellite is moving around the earth in a stable circular orbit. Which of the following statements is WRONG about this satellite?

(a) It is moving at a constant speed.

(b) It is acted upon by a force directed away from the center of the earth which counter-balances the gravitational pull of the earth.

(d) It behaves as if it were a free-falling body.

(a) (b) (c) (d)

Show explanation

View wiki

by Brilliant Staff