Free Printable Kepler's law

1.

According to Kepler's 3rd law, the square of the time it takes for an object to orbit, T, is directly related to the cube of the distance, r, between the object and what it is orbiting.
What this means is that if a satellite moves away from what it is orbiting,

a)

the larger the constant k is.

b)

the smaller the constant k is.

c)

the longer the orbital period is.

d)

the shorter the orbital period is.

2.

Which planet will take the most amount of time to revolve around the Sun?

a)

Mercury

b)

Venus

c)

Earth

d)

Mars

3.

Where is the planet moving faster

a)

Position A to B

b)

Position B to C

c)

Position H to I

d)

Position I to J

4.

A planet moves __________ when it is farthest from the sun.

a)

faster

b)

slower

5.

The path a planet travels around the sun is called its

a)

orbit

b)

ellipse

c)

barycenter

d)

precession

6.

The orbital radius of Venus is $10.8\times10^{10}$ m . Its rotation period is 224.7 days. What is its orbital speed.

a)

20 $km\ s^{-1}$

b)

25 $km\ s^{-1}$

c)

35 $km\ s^{-1}$

d)

62 $km\ s^{-1}$

7.

Diagram shows a planet orbiting around the sun. Based on Kepler's Second Law, Which of the following regarding the speeds of the planet at positions

P\left(v_p\right),\ Q\left(v_Q\right)\ and\ R\left(v_R\right)

is correct

a)

$v_p\ =v_Q\ =v_R$

b)

$v_p\ >v_Q\ >v_R$

c)

$v_p\ <v_Q\ <v_R$

d)

$v_p\ >v_R\ >v_Q$

8.

Which of the following shows correctly the relationship between the period of orbit, T and radius of orbit, r, of a planet?

a)

A

b)

B

c)

C

d)

D

9.

Diagram shows the planet Saturn with its four satellites. R and T are orbital radius and orbital period of satellites respectively.

Which of the following statements is true?

a)

the orbital periods of all the satellites are the same.

b)

The force on the satellite is tangential to the orbit

c)

the attractive force on each satellite is directly proportional to $\frac{1}{R^2}$

d)

$\frac{T^3}{R^2}$ is constant for all satellites.

10.

What is the reason for the motion of the moon on its orbit?

a)

The gravitational force exerted on the Earth by the moon

b)

The gravitational force exerted by the sun

c)

The gravitational force exerted by the planets

d)

The gravitational force exerted on the Moon by the earth

11.

A kine drawn from a planet to the Sun always sweeps over equal areas in equal intervals of time When the planet moves further from the sun, the planet will move

a)

Faster

b)

Slower

c)

Constant at every point

d)

None of the above

12.

The period of geostationary artificial satellite is

a)

24 hours

b)

6 hours

c)

48 hours

d)

12 hours

13.

The period of a satellite in a circular orbit of radius R is T. The period of another satellite in circular orbit of radius 4R is

a)

8T

b)

$\frac{T}{8}$

c)

2T

d)

$\frac{T}{4}$

14.

The distance of venus and Saturn from the sun are nearly $10^{11^{ }}$ m and $10^{12}$ m respectively. Assuming that they move in circular orbits, their periodic times would be in ratio of

a)

$0.1\sqrt{0.1}$

b)

100

c)

$10\sqrt{10}$

d)

10000

15.

Kepler’s third law states

a)

The orbit of a planet around the sun is an ellipse, with the sun at one focus

b)

The semimajor axis is equal to the planet’s average distance from the sun

c)

The square of the orbital period of a planet is proportional to its orbital radius

d)

None of these answers is correct

16.

If r represents the radius of the orbit of a satellite of mass m moving round a planet of mass M the velocity of the satellite is given by

a)

$V=\sqrt{\left(\frac{GM}{r}\right)}$ ,

b)

$v^2\ =\ \frac{GMm}{r}$

c)

$v=\frac{GMm}{r^2}$

d)

$v^2\ =\ \frac{gM}{R}$

17.

Kepler's 2nd Law deals with

a)

the shape of the planets' orbits

b)

the speed/area the planet travels

c)

the length of time it takes the planet to orbit the sun

18.

Kepler's third law is represented by the following equation:

Hukum Kepler ketiga ditunjukkan oleh persamaan:

a)

b)

c)

d)

19.

The period of the Moon's orbit is 27.0 days. The radius of the Moon's orbit is $3.8\ \times10^8$ m. The period of a geostationary satellite is 1 day. What is the radius of the geostationary satellite's orbit.

a)

$4.2\ \times10^7$ m

b)

$5.4\ \times10^7$ m

c)

$6.6\ \times10^7$ m

d)

$8.5\ \times10^7$ m

20.

The accelerations due to gravity on the surfaces of two planets are equal in magnitudes if

a)

mass

b)

$\frac{mass}{radius}$

c)

$\frac{mass}{radius^2}$

d)

$\frac{mass}{radius^3}$

21.

Class

a)

4R

b)

4T

c)

4P

22.

NAME

4 lines

Kepler's law

Total questions: 22

Worksheet time: 11mins

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