Kepler
Newton
Gravitation
Circular Motion
Kepler / Newton Facts
100

This relationship is known as Kepler's Third Law

What is T2 = r3

100

This equation defines Newton's Second Law

F = ma

100

The value of this constant is 6.67*10-11Nm2/kg2

Big G

100

This is location where the ball in the picture should be released in order to hit the target. 

B

100

This is the country where Newton was born.

England

200
This statement defines the shape of planetary orbits and is known as Kepler's First Law.

The shape of the planets' orbits are elliptical with the Sun located at one of the focii. 

200

This statement defines the motion of all objects, known as Newton's First Law

An object in motion will stay in motion, in a straight line at a constant velocity unless acted upon by a net outside force

200

This is the force of gravitational attraction between the Earth and the Moon.

m= 5.98*1024kg

m= 7.35*1022kg

r = 3.84*108m

1.98*1020 N

200

This is the name given to any force that causes an object to travel in a circular path and the direction this force points (2 parts)

Centripetal Force, towards the center

200

This astronomer was Kepler's friend and mentor

Tycho Brahe

300

This statement is known as Kepler's Second law and describes the speeds of orbiting bodies at different locations

An imaginary line connecting the Sun and any planet sweeps out equal amounts of area in equal lengths of time

300

This statement is known as Newton's Third Law and is the reason you aren't falling through your chair.

For every force there is an equal and opposite force

300

This is the gravitational field strength of the Earth (m = 5.98*1024 kg) at a distance of 6,370km from the planet's center.

g = 9.8 N/kg

300

This is the acceleration (number and direction) of a ball on a 1.5m long string moving at 3.5m/s in a circle

a = 8.2 m/s2 towards the center

300

This is a shape that has an eccentricity of 1

a straight line

400

This period of time is how many years it takes for an object to orbit the Sun if it is 25 times further away from the Sun as the Earth.

125 years

400

This is the acceleration of a 10kg rope during a tug-of-war game when one team pulls with 7,845N and the other team pulls with 7,840N.

a = 0.5 m/s2

400

This is the mass of an object who's gravitational field strength is found to be 13 N/kg at a distance of 2.35*1012 m

1.07*1036 kg

400

This value is the centripetal force on an orbiting satellite which has a mass of 150,000kg and orbits the Earth at a speed of 5,500 m/s. The radius of the Earth is 6,370km and the satellite orbits about 300km above the Earth's surface.

680,285 N

400

This planet is the most eccentric in our solar system

Mercury

500
This supernova was visible in 1604, and was known as Kepler's Nova

SN 1604

500

According to Newton's Third Law, this is the force opposing the Earth's gravitational pull on the Moon, Fg E-M

Force of the Moon on the Earth, Fg M-E

500

This is the net gravitational force on a 1kg ball located 100km below the Earth's surface, assuming the Earth is spherical and has equal density everywhere. (draw a picture!!!!!!)

Fnet = 0
500

This length of time in minutes is the orbital period for the International Space Station. The ISS makes a circular orbit around the Earth, the net force on the ISS is 3.78*106 N, the mass of the ISS is 400,000kg, the ISS orbits 6,773,000m above the center of the Earth.

t = 88.6 min