Circular Motion Math
What is the centripetal acceleration of an object moving at 10 m/s in a radius of 5 m?
20 m/s2
What is the force of the moon orbiting the earth, if the earth's mass is 5.97x1024 kg and the moons mass is 7.35x1022 kg and they are 3.84x105 m apart?
1.98×1026 N
The type of force that causes an object to move in a circle.
What is Centripetal Force?
A constant that is represented by 6.67 x 10^-11 Nm2/kg2.
What is the Universal Gravitation Constant, AKA "Big" G?
When mass and velocity are held constant, radius has an inverse relationship with this variable.
What is force?
What is the velocity of a 2 kg object experiencing 40 N of centripetal force in a radius of 3 m?
7.75 m/s
Deimos, the smaller moon of Mars, orbits at a distance of 2.3×107 m from the center of Mars. If Mars pulls on Deimos with a gravitational force of 4.2×1015 N, and Mars has a mass of 6.41×1023 kg, what is the mass of Deimos?
5.2×1016 kg
This variable must remain constant for an object moving in uniform circular motion.
(think direction and magnitude)
What is speed?
The equation used when solving for force of gravity when near Earth's surface.
What is F = mg?
According to Newton’s Law of Gravitation, this happens to gravitational force when the distance between two masses doubles.
What is the radius of a circular road in which the car experiences 1250 N of centripetal force, has a mass of 1000 kg and is moving at 12 m/s?
115.2 m
What is the force of gravity acting on a 1250 kg satellite orbiting 1.3x107 m from the center of earth? (Mass of Earth = 5.97x1024 kg)
2950 N
This is the centripetal force which causes a car to move in a circle when traveling on a circular road.
What is Friction?
The equation used when solving for the force of gravity when not near Earth's surface.
What is F = G(m1m2)/r2?
If the gravitational force between two objects is 20 N and the distance between them is cut in half, what is the new force?
80 N
The car makes 3 laps around a track every 1 minute and is traveling about 30 m/s. What is the radius of the track?
95.5m
Two electrons feel a gravitational force of 2.2×10-71 N while being 1.6 m away from each other. Determine the mass of the electrons.
9.2 x 10-31 kg
The path an object follows when the centripetal force suddenly disappears.
In the direction of the tangential velocity.
This is Newton's Third Law of Motion.
What is every action has an equal and opposite reaction?
As acceleration stays constant, what happens to velocity when the radius is quadrupled?
The velocity is doubled.
At a dog‑training arena, a border collie practices running in a perfect circle while attached to a long training leash. The dog and harness together have a mass of 25 kg. The trainer measures that the leash is pulling with a centripetal force of 500 N while the dog runs at a radius of 8.0 m. What is the dog's velocity?
12.6m/s
What is the velocity of an 1800 kg satellite which orbits Earth with a radius of 7x106 m from its center? (Mass of Earth 5.98x1024)
7.5x103m/s
Someone is swinging a bucket of water in a horizontal circle. They don't realize the bucket has a tiny hole and starts to leak water over time, decreasing the mass. If the person continues to swing the bucket with the same force, what happens to the velocity over time?
The bucket’s velocity must INCREASE over time.
A person standing on Earth feels their weight because Earth pulls downward on them. But Earth also pulls on the Moon with a much stronger total gravitational force. Why does the Moon nott “fall straight down” toward Earth the way a person does?
The Moon already has sideways motion/orbital velocity/tangential velocity.
Gravity continually bends its path instead of pulling it straight down, keeping it in orbit rather than causing a direct fall.
If the distance between two objects stays the same but the mass of one object is increased by 4x and the other is increased by 3x, how does the gravitational force change?
It is 12x larger.