Definitions
Planets
Equations/Fcp Substitutions
Projectile Motion Problems
Random Unit 3 Problems
100
Centripetal Force
- a force that acts on a body moving in a circular path and is directed toward the center around which the body is moving.
- Simplified (center seeking force)
100
What is the Universal Gravitational Constant?
6.67×10⌃-11 m⌃2/kg⌃2
100
How do you calculate for g?
g=G(m1m2)/r2
100
A football is thrown at an angle of 25° from the ground at a speed of 23 m/s and lands 42 meters away from the starting point. How high was the peak of the football's route?
4.8 meters
100
A launcher launches a ball at an angle of 25 degrees and at 10 m/s. What is the peak height and range?
total t=.86s
y=0.91m
x= 7.8m
200
Tangential Velocity
the linear component of the speed of any object which is moving along a circular path.
200
What is the gravitational field shaped like around a planet?
Shaped like a curve.
200
How do you calculate for centripetal acceleration?
a=(v2/r)
200
Given:
Angle θ: 45°
Vi=10m/s
Find the peak in which the object travels
≈2.55 m/s
200
A string causes a ball to swing in a circle around a table. The length of the rope is 0.5m, Its mass is 2kg, and swings at a velocity of 5 m/s. What is the force of tension in the rope?
T= M v2/r = 100N
300
Gravitational Mass
The property of an object or system that determines the strength of gravitational interaction with other objects, systems, or gravitational fields
300
What would an FBD of the Moon orbiting Earth look like?
Answers may vary
300
How do you calculate for banked turns?
tan theta = v2/rg
300
A pencil rolls off a desk .70 meters off the ground and lands on the floor .25 meters away from the desk. How fast did it roll?
0.66 m/s
300
A ball rolls off a cliff horizontally at 20 m/s and lands at 10 seconds. What is the height of the cliff?
height = 1/2gt2 = 490m
400
Universal Gravitational Constant
G
400
What is the force of gravity with m1=4.8×10⌃24 kg m2=72 kg and r =5.1×10⌃6 m
886.26 N
400
If an object rotating on an axis by a string was swinging through a vertical circle, what is the net force/Fcp at the top? At the bottom?
Fnet=Fg+Fn at the top
Fnet=Ft-Fg at the bottom
400
A seagull flying along a horizontal path drops a fish from a height of 5.4 meters. The fish travels 8 meters horizontally before it hits the water. What is the seagull's initial speed?
7.6m/s
400
Calculate the force of gravity that exists between a 60 kg person and an 80 kg person 50 cm apart.
Fg = GM1M2/r2 = 1.28 x 10-6
500
Newton's Law of Universal Gravitation
two bodies in space that pull on each other with a force proportional to their masses and the distance between them.
500
Find the orbital velocity of a planet where r=61.8×10⌃9 m
46460.48 m/s
500
In the case of a rotating platform, how do you calculate Fcp in terms of mu, m, and other constants?
mu(mg)=v2/r
500
A soccer player strikes the ball to a receiver who is 31.5m away from him. The ball travels at a speed of 17.7m/s at an angle of 40 ° to the ground. What is the ball’s highest point during its flight?
6.6 meters.
500
A car is traveling on a frictionless banked curve with a radius of 200. The curve of the bank is 15 degrees. What speed must the car travel to not slide up or down?
v=√rgtanθ=22.9m/s