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WorksheetsKepler's Law
Total questions: 13
Worksheet time: 7mins
Name
Class
Date
1.
Using Newton's law of gravity:
F = Gm1m2/d2.
What will happen to the gravitational force of a satellite if the mass and the distance from Earth’s center is doubled?
F = Gm1m2/d2.
What will happen to the gravitational force of a satellite if the mass and the distance from Earth’s center is doubled?
a)
G4m1m2/d2
b)
G3m1m2/2d2
c)
G3m1m2/d2
d)
Gm1m2/d2
2.
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.
a)
T3 = k*r2
b)
T2 = k*r3
c)
T3 = k/r2
d)
T2 = k/r3
3.
Using Newton's law of gravity:
F = Gm1m2/d2.
G=6.67x10-11 NM2/KG2
Calculate the force between two objects that have masses of 70 kilograms and 100 kilograms separated by a distance of 1 meter. Use “G” for the Gravitational constant.
F = Gm1m2/d2.
G=6.67x10-11 NM2/KG2
Calculate the force between two objects that have masses of 70 kilograms and 100 kilograms separated by a distance of 1 meter. Use “G” for the Gravitational constant.
a)
0.0000466
b)
4.66x107
c)
-0.000000466
d)
4.66x10-7
4.
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,
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.
5.
The speed at which any planet moves through space is constantly changing. In a perfectly circular orbit, the orbital radius of the planet would be constant and therefore so would be its observed angular velocity. In elliptical orbits, the velocity varies. In elliptical orbits, the orbital radius of the satellite will vary and therefore so will its velocity. The planet travels "faster" when closer to the Sun, then "slower" at a more distant radius. According to Newton's 2nd Law, what is the underlying force behind this change in velocity?
a)
Friction
b)
Gravity
c)
Mass
d)
Projectile motion
6.
Consider the law of gravitational attraction. Two spheres with a mass, M, are attracted to each other by a force, F. If the distance between the two spheres doubles while the masses remain constant, will the force between the two spheres change? If yes, how?
a)
Yes, the forces decreases by 1/16
b)
Yes. The force decreases by 1/2
c)
Yes, the force decreases by 1/4
d)
No. The force remains constant because the masses remain constant
7.
In order for a satellite to orbit in a higher orbit, what must be true about its speed
a)
The orbital speed must be decreased
b)
The orbital speed must be increased
c)
The orbital speed must remain the same
d)
There is not enough information to draw a conclusion
8.
Kepler’s 3rd law states the square of the orbital period is proportional to the cube of the orbital radius. (T2=r3)
If a planet's orbital radius is doubled, what happens to the length of a year on that planet?
If a planet's orbital radius is doubled, what happens to the length of a year on that planet?
a)
It will become twice as long
b)
It will become about 8 times as long
c)
It will become 2.8 times as long
d)
It will remain the same
9.
Consider the model of Kepler's 2nd Law. Each colored wedge represents the same time interval. Kepler states that the area of each wedge must be equal. According to this, what conclusions can you draw about the movement of any planet?
a)
An orbiting body travels along the perimeter of the segments at a constant velocity.
b)
An orbiting body travels faster as it gets closer to the central massive body.
c)
The path of each planet around the sun is an ellipse because the sun is located at one focus.
d)
An orbiting body covers the same distance for each time interval because the speed changes.
10.
If an ellipse eccentricity is closer to 0, then it’s more eccentric.
a)
True
b)
False
11.
If an ellipse eccentricity is closer to 1, then it’s more eccentric.
a)
True
b)
False
12.
If my distance between foci=1 and my length of major axis=2, what is my eccentricity?
a)
¼
b)
⅛
c)
½
d)
1/16
13.
Kepler’s first law states that planets travel in a(n) orbit.
a)
Circular
b)
Spherical
c)
Elliptical
d)
Triangular
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