Download Honors Physics

Honors Physics
Circular Motion (with Gravitation) Review Problems
1.
Aircraft experience a lift force that is perpendicular to the plane of the wings and to the direction of
flight. A small aircraft is flying at a constant speed of 240 km/h. At what banking angle from the
horizontal must the wings of the aircraft be tilted for the aircraft to execute a horizontal turn with a
radius of 1200m?
2.
A bowling ball weighing 71.2 N is attached to the ceiling by a 3.8 m rope. You pull it to one side and
release it. It swings back and forth. As the rope swings through the vertical, the speed of the bowling
ball is 4.2 m/s.
a. What is the acceleration of the bowling ball in magnitude and direction at this instant?
b. What is the tension in the rope?
c. If the ball were not moving, what would be the tension in the rope? Surprised?
3.
A crate of eggs is located in the middle of the flatbed of a pickup truck as the truck negotiates an
unbanked curve in the road. The curve may be regarded as an arc of a circle of radius 39.0 m. If the
coefficient of static friction between the truck and the crate is 0.625, how fast can the truck be moving
without the crate sliding?
4.
A 600 kg satellite is in a circular orbit about the Earth at a height above the Earth equal to the Earth’s
mean radius.
a. What is the satellite’s orbital speed?
b. What is the period of its revolution?
c. What is the gravitational force acting on it?
5.
There is a point along the line joining the center of the earth to the center of the moon at which the two
gravitational forces cancel. Find this point’s distance, x, from the earth’s center. Use D for the earthmoon distance, and me and mm for the masses of earth and moon respectively.
6.
A pail of water is rotated in a vertical circle of radius equal to 1.25 m.
a. What is the minimum speed of the pail at the top of the circle if no water is to spill out? An
FBD helps!
b. The pail is rotated at a constant rate so it has the minimum speed at all po8ints along its
circular path. The mass of the water is m. When the pail is at the bottom of the circle, what is
the magnitude of the force exerted by the water on the bottom of the pail?
c. What is the magnitude of the force exerted by the water on the bottom of the pail when the
pail is halfway between the bottom and the top of the circle?
7.
Three 8 kg masses are located at points in the xy plane. One mass is at the origin. A second mass is at
(x,y) of (0,50cm). The third mass is located at (45cm, 0). What is the magnitude of the total force of
gravity felt by the mass at the origin? At what angle from the positive x-axis will the resultant force
point?
Answers
1
21o
5
x
2
3
4
4.6, 105, 71.2
15.5
5.58E3, 1.44E4 s, 1.47E3
6
7

D me  (me mm )1/ 2
me  mm
v=3.5, F=2mg, F=mg
2.7139E-8, angle=39o
