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  3. Technische Universiteit Eindhoven (TUE)
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Multiple choice questions - Applied Natural Sciences
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  • Course
  • Applied Natural Sciences (3NAB0)
  • Institution
  • Technische Universiteit Eindhoven (TUE)

This document contains 21 pages with questions and answers gathered from weekly quizzes and it covers all the chapters included in the final exam of Applied Natural Sciences 3NAB0.

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Document information

  • January 20, 2024
  • 21
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers

Subjects

  • multiple choice
  • physics
  • optics
  • electricity
  • thermodynamics
  • applied natural sciences
  • 3nab0
  • past exam
  • question
  • answer
  • exam
  • tue

Written for

  • Technische Universiteit Eindhoven (TUE)
  • Architecture, Urbanism and Building Sciences
  • Applied Natural Sciences (3NAB0)
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Applied Natural Sciences

WEEK 1
1) What is the unit in which work is expressed?
a. N b. J c. [M][L] / [T2] d. J /s

2) What is the unit in which acceleration is expressed?
a. [M][T2] b. m / s2 c. m / s d. J m

3) The speed v[m/s] of an object with mass m[kg] that is launched by a spring with force
constant k[N/m] that is compressed over a distance L[m] is given by:
𝑘 𝑚
a. v=√ c. v=𝐿√
𝐿∗𝑚 𝑘

𝒌 𝑘
b. v=𝑳√ d. v=√𝐿 𝑚
𝒎


4) The speed v[m/s] of an object depends on the spring constant k[N/m], the mass m[kg], and the
amplitude A[m] according to:
3 𝑚 3 𝑘𝐴
a. 𝑣 = √ √ 𝐴 c. 𝑣 = √4 √ 𝑚
4 𝑘

3 𝑚𝐴 𝟑 𝒌
b. 𝑣 = √4 √ d. 𝒗 = √𝟒 √𝒎 𝑨
𝑘


5) The speed of a car is 10.00 m/s. The car travels over a flat horizontal road for 4.10 seconds. What is
the distance the car has traveled in that time span? (x2)
a. 41.00 m b. 41.0 m c. 41 m d. 4.100 * 101 m

6) Two forces F1 and F2 act on an object. The forces F1 and F2 are given by F1=(a * i^ −b * j ^) [N]
and F2=(−b * j^ + a * k^) [N] , with a and b unitless positive constants. The magnitude of the net
force is:
a. √2 (𝑎2 + 𝑏 2 ) [N] c. √𝟐 𝒂𝟐 + 𝟒𝒃𝟐 [N]
b. √2 𝑎2 − 4𝑏 2 [N] d. 2𝑎 − 2𝑏 [N]
7) The figure above displays the speed v of an object along the x-axis as a function of time. Which of
the following statements is correct?
a. The magnitude of the acceleration is constant between t=t1
and t=t2
b. The acceleration a points in the positive x-direction
c. The acceleration a points in the negative x-direction.
d. None of the other answers.

8) The figure above displays the speed v of an object along the x-axis as a function of time. Which of
the following statements is correct?
a. None of the other answers.
b. The acceleration increases between t=t1 and t=t2
c. The acceleration decreases between t=t1 and t=t2
d. The acceleration is constant between t=t1 and t=t2

,9) The graph above displays the speed v of an object that is moving along the x-axis as a function of
time. Which of the following statements is correct?
a. The average acceleration between t=t1 and t=t3 is
equal to the instantaneous acceleration at t=t2.
b. The average acceleration between t=t1 and t=t3 is
equal to the instantaneous acceleration at a moment
between t=t2 and t=t3.
c. The average acceleration between t=t1 and t=t3 is
equal to the instantaneous acceleration at a moment
between t=t1 and t=t2.
d. The average acceleration between t=t1 and t=t2 is equal to the acceleration
between t=t2 and t=t3.
e. One cannot tell whether one of the other answers is correct or not because the
average acceleration cannot be determined.

10) The average acceleration aavg−x of an object moving from position x1 at t=t1 and position x2
at t=t2 is defined as:
𝑥 𝑥
a. aavg-x = ½ ( 𝑡 21+ 𝑡 22) c. The average acceleration cannot be
1 2
𝑥 /𝑡 +𝑥 /𝑡 determined from the positions only.
b. aavg-x = 1 𝑡1 −𝑡 2 2 d.
𝑥 𝑥
aavg-x = ½ ( 𝑡 1+ 𝑡 2)
2 1
1 2


11) The average acceleration vavg−x of an object moving from position x1 at t=t1 and position x2
at t=t2 is defined as:
𝒙 +𝒙 𝑥 𝑥
a. vavg-x = 𝟏 𝟐 c. vavg-x = ½ ( 𝑡 1+ 𝑡 2)
𝒕𝟐 −𝒕𝟏 1 2
𝑥 𝑥 𝑥1 + 𝑥2
b. vavg-x = ½ ( 𝑡 1- 𝑡 2) d. vavg-x = 𝑡2 −𝑡1
1 2
12) You are standing on the edge of a building at height H above ground level. You throw a ball straight
upward with initial speed v0. The ball experiences a constant gravitational acceleration g and no
air friction. We take the y-axis pointing straight upward (i.e. the positive y-direction is upward)
and the origin (y=0) at ground level. Which of the following equations describes the position of
the ball as a function of time? (x2)
1
a. 𝑦(𝑡) = −𝑣0 + 2 𝑔𝑡 2
1
b. 𝑦(𝑡) = 𝑣0 𝑡 + 2 𝑔𝑡 2
1
c. 𝑦(𝑡) = 𝐻 − 𝑣0 𝑡 − 2 𝑔𝑡 2
𝟏
d. 𝒚(𝒕) = 𝑯 + 𝒗𝟎 𝒕 − 𝟐 𝒈𝒕𝟐

13) The graph above shows the speed as a function of time of an object that moves along the x-axis.
Which of the graphs below shows the acceleration of the object as a function of time?
a. A
b. B
c. C
d. D
e. E
f. F
g. G
h. H

, 14) The graph above shows the acceleration as a function of time of an object that moves along the x-
axis.Which of the graphs below shows the velocity of the object as a function of time?
a. A
b. B
c. C
d. D
e. E
f. F
g. G
h. H


15) What are the average velocity, vavg, and average acceleration, aavg, of an object in a uniform
circular motion for one revolution?
a. vavg > 0 and aavg > 0 c. vavg > 0 and aavg < 0 e. vavg = 0 and aavg = 0
b. vavg < 0 and aavg < 0 d. vavg = 0 and aavg < 0 f. vavg > 0 and aavg = 0

16) The figure above shows the trajectory of a space craft leaving earth.
What is the direction of the average velocity vector of the space craft
in the time interval t=0 s to t=2 s? (x2)
a. (+x, -y) direction
b. (+x, +y) direction
c. (-x, +y) direction
d. (-x, -y) direction


17) You are standing on the edge of a high cliff. You throw a ball with speed v0 under an angle α with
the horizontal plane. A positive angle α means upward (α=π/2 is straight upward); a negative
angle α means downward (α=−π/2 is straight downward). Air resistance can be neglected and
the gravitational acceleration is g. The figure above shows the
magnitude of the velocity ∣v∣ of the ball as a function of time for
angles α=−π/4, α=0, α=+π/4, and α=+π/2, but in random order.
All the graphs have an equal scale. Put the graphs in the correct order
of increasing angles. (x2)
a. D-C-B-A
b. B-C-D-A
c. A-D-C-B
d. C-B-A-D

18) A soccer player on a horizontal playground kicks a ball away under a certain angle with the
playground. The ball can be considered to be a projectile. Air resistance can be neglected and the
gravitational acceleration is g. After a time T the ball is back on the ground. What was the
maximum height H of the ball's trajectory?
a. H = gT2 1
c. H = 2gT2
1 2
b. H = 4gT 𝟏
d. H = 𝟖gT2

19) A soccer player on a horizontal playground kicks a ball away with a velocity v0 under an
angle α with the playground. The ball can be considered to be a projectile. Air resistance can be
neglected and the gravitational acceleration is g. During the trajectory, the ball reaches a
maximum height H. Now he kicks a second ball under the same angle but with double velocity.
What is the maximum height the second ball will reach?
a. H / 2 c. 4H
b. 2H d. H

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