Download Algebra - Militant Grammarian

APPC
May Examination
Answer the following problems, documenting your solution using nouns,
verbs, and –ly words.
1. A constant horizontal force of 10.0 N is required to drag an object across a
rough surface at a constant speed of 5.0 m/sec. What power is being
expended? How much work would be done in 30. minutes?
2. A string of freight cars weighs 200.0 Tons. The coefficient of rolling
friction is 0.005. How fast can freight engine of 400 hp. pull the string of
cars along?
3. A car engine working at a rate of 24 618 W is moving the car at a rate of
45 mph. What force is the engine exerting?
4. A star of mass 2.0 x 1030 kg moving with a velocity of 2.0 x 104 m/sec
collides with a second star of mass 5.0 x 1030 kg moving with a velocity of
3.0 x 104 m/s in a direction at right angles to the first star. If the two join
together, what is their common velocity?
5. In the first second of its flight, a rocket ejects 1/60 of its mass with
velocity of 2 073 m/s. What is the acceleration of the rocket?
6. In the Bohn-atom model an electron of mass 9.11 x 10-31 kg revolves in a
circular orbit about the nucleus. It completes an orbit of radius 0.53 x 10-10 m
in 1.51 x 10-16 seconds. What is the angular momentum of the electron in
this orbit?
7. A rod of negligible mass with length 2.0 meters has a small 2.0 kg mass
mounted on each end.
A) Calculate the moment of inertia of this rod about an axis perpendicular to
the rod through its center.
B) Find its angular momentum if the rod rotates about this axis with an
angular velocity of 10.0 radians per second.
8. A pendulum which has a period of 1.00 seconds in London, where g =
32.200 ft/s/s, is taken to Paris, where it is found to lose 20.0 seconds per day.
What is the value of g in Paris?
David A. Young
page 1
06/25/2017
APPC
May Examination
9. One end of a metal fingernail file is clamped in a vise and the other end is
given a to-and-fro vibration. The motion of the free end is approximately
SHM. If the frequency is 10.0 vibrations per second and the amplitude is 4.0
mm, what is the velocity when the displacement of the free end is 2.0 mm?
10. A particle which is performing simple harmonic motion passes through
two points 20.0 cm apart with the same velocity, taking 1.0 seconds to get
from one point to the other. It takes a further 2.0 seconds to pass through the
second point in the opposite direction. What are the period and amplitude of
the motion?
11. Let the force constant k of the spring below be 24 N/m, and let the mass
of the body be 4.0 kg. The body is initially at rest, and the spring is initially
unstretched. Suppose that a constant force of 10.0 N is exerted on the body
pulling on the block toward xm, and that there is no friction. What will the
speed of the body when it has moved 0.50 meters?
David A. Young
page 2
06/25/2017