2003년도 수학

Written Examination for IUT Pre-Univ.
Physics
◦ Each question is worth points displayed next to the problem number.
4. [5 points]
A box of mass 2 kg is resting on an inclined plane
◦ You may use the extra page attached to the end as a scratch paper.
with an angle of 30° with respect to the horizontal as
shown in the following figure. What is the magnitude
<Short Answer Type> Solve the problems. In your answers,
of the friction force exerted on the box by the
a unit in the SI system should be included.
inclined
surface?
(Assume
that
the
magnitude
of
2
gravitational acceleration is 10 m/s )
1. [5 points]
A vehicle runs with a constant velocity of 20 m/s.
How far does the vehicle move in 1.0 minute?
Answer [
]
Answer [
]
2. [5 points]
An athlete is uniformly accelerating from rest. In 5.0
seconds, he finally reaches to the velocity of 10 m/s.
Compute the acceleration of the athlete.
Answer [
]
5. [5 points]
A 5-N force is exerted on a 1-kg block with an angle
of 60° with respect to the horizontal. If the block
moves only horizontally to a distance of 2 m, what is
the work done by the force on the block? (Ignore
frictions.)
3. [5 points]
A ball is thrown straight up with an initial speed of
10 m/s. How high does it go from the initial point?
(Assume
that
the
magnitude
of
gravitational
2
acceleration is 10 m/s and ignore the effects of air.)
Answer [
]
Answer [
1 / 4
]
6. [5 points]
A 2-kg steel box is moving on a smooth surface with
10. [5 points]
An ideal gas of 10 m3 is heated until its pressure and
a velocity of 10 m/s. It runs head on into a spring
absolute temperature are both doubled. What is the
with a spring constant of 8 N/m. Compute the
new volume of the gas?
maximum compressed distance of the spring by the
Answer [
]
steel box? (Ignore frictions.)
Answer [
]
11. [5 points]
The state of an ideal gas is changed in a closed path
A→B→C→D→A as shown in the following figure.
7. [5 points]
A 2-kg ball is moving in the +x direction at 12 m/s
while a 3-kg ball
Determine the net work done by the gas?
is moving in the +x direction at 2
m/s. Two balls collide and stick together. Determine
the velocity of the balls when they move together
after the collision.
Answer [
Answer [
]
8. [5 points]
A 3.0-kg mass moves with a constant speed of 2.0
12. [5 points]
Two identical charges experience a force of repulsion
equal to  ×   N when they are separated by
m/s in a circular orbit at a radius of 1.0 m. What is
the magnitude of its centripetal acceleration?
Answer [
]
9. [5 points]
A wave traveling on a string has a wavelength of
0.50 m and a period of 0.20 sec, what is the
   m . What is the magnitude of each charge?
Note that       ×   Nm  C  .
Answer [
]
13. [5 points]
How much
power
is
used
by
a
20-Ω
resistor
connected to a 6-V battery? (Ignore internal resistance
propagation speed of this wave?
Answer [
]
]
of the battery)
Answer [
2 / 4
]
14. [5 points]
In the circuit shown below, determine the current in
18. [5 points]
What is the frequency of a radio wave with a
the 4-Ω resistor.
wavelength of 2.0 m? Note that the speed of the
radio wave is   ×   m  s.
Answer [
Answer [
]
]
19. [5 points]
A 10-cm-tall object is placed 20 cm in front of a
concave mirror with a focal length of 15 cm. What is
the size of the image formed by the mirror?
15. [5 points]
A parallel-plate capacitor has a capacitance of C.
Answer [
]
When the area of the plates is doubled, while the
separation between the plates is halved, determine the
new capacitance of the capacitor.
Answer [
]
20. [5 points]
A ray of monochromatic light is incident on a pair of
double slits separated by 0.08 mm. On a screen 500
mm away from the double slits, bright lines appear
separated by 3.0 mm. What is the wavelength of the
16. [5 points]
What is the equivalent capacitance of the circuit
shown below?
light used?
Answer [
Answer [
]
17. [5 points]
A charge moves in a circular orbit of radius R due to
a uniform magnetic field. Determine the radius of the
new orbit when the magnitude of the magnetic field is
doubled.
Answer [
]
3 / 4
]
Extra Page
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