Now assume that two identical cars of mass m drive along a highway. One car approaches a curve of radius 2R at speed v. The second car approaches a curve of radius 6R at a speed of 3v. How does the magnitude F1 of the net force exerted on the first car compare to the magnitude F2 of the net force exerted on the second car?
Now assume that two identical cars of mass m drive along a highway. One car approaches a curve of radius 2R at speed v. The second car approaches a curve of radius 6R at a speed of 3v. How does the magnitude F1 of the net force exerted on the first car compare to the magnitude F2 of the net force exerted on the second car?
Front
F1=1/3F2
Back
What is the relationship between acceleration and net force in circular motion?
Front
Net force always points inward and acceleration always points in the direction of net force.
Back
What is the relationship between force and distance (radius)?
Front
An increase in distance leads to a decrease in force
Back
Kepler's Second Law
Front
As a planet moves in its orbit, it sweeps out an equal amount of area in an equal amount of time.
Back
Assume that the car at point A and the one at point E are traveling along circular paths that have the same radius. If the car at point A now moves twice as fast as the car at point E, how is the magnitude of its acceleration related to that of car E.
Front
The magnitude of the acceleration of the car at point A is four times that of the car at point E.
Back
A small car of mass m and a large car of mass 4m drive along a highway. They approach a curve of radius R. Both cars maintain the same acceleration a as they travel around the curve. How does the speed of the small car vS compare to the speed of the large vL car as they round the curve?
Front
vS=vL
because mass does not affect centripetal acceleration and thus, speed/velocity
Back
Compare the magnitude and direction of M1 and M2.
Front
Magnitude of each mass is the same, but they are acting in opposite directions
Back
To calculate the acceleration due to gravity use:
Front
g= G*M/ r^2
*if g is known, weight of that object can be calculated using W=mg
Back
Jill of the Jungle swings on a vine 6.4m long.
Jill of the Jungle swings on a vine 6.4m long.
Front
Use: [mv^2/r] [m*g]
-which are the equations for centripetal force and tension respectively.
Back
The equation ____ is used to find centripetal acceleration.
Front
Acp= v^2/r
Back
What is the relationship between acceleration and velocity?
Front
Acceleration always is perpendicular to velocity and is directed toward the inside of the track.
Back
What is the relationship between mass and force?
Front
if either mass has doubled the force of gravity will double
Back
A car goes around a curve on a road that is banked at an angle of 32.0∘ . Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 22.0m/s
What is the radius of the curve?
Front
r = 79.0 m
use: tan(theta)*g to determine the centripetal acceleration
then solve for
a= v^2/r
Back
Kepler'sFirst Law
Front
Planets follow elliptical orbits with the sun at on focus of the ellipse
Back
Kepler's Third Law
Front
The period, T, of a planet increases as its mean distance from the Sun, r, raised to the 3/2 power.
T= (constant)r^3/2
Back
Newton's Law of Universal Gravitation
Front
F = G (m1* m2) / r^2
where G is the gravitational constant of 6.67*10^-11
Back
The equation ____ is used when the object is moving with a constant speed to find centripetal force.