PHYS 250 FINAL EXAM 2025 QUESTIONS
AND ANSWERS
Given the vectors 𝐶→=2𝑖̂ +7𝑗̂ →=2^+7�^ and 𝐷→=14𝑖̂ +38𝑗̂ �→=14�^+38�^, find the angle 𝜃�
between them
Select one:
a. 𝜃 = 86
b. 𝜃= 4∘
c. 𝜃 =0∘
d. 𝜃 = 10∘ - ANS b. 𝜃= 4∘
A spider lowers herself on a single strand of silk at constant speed. Taking into account air
resistance, which of the following must be true?
Select one:
a.The tension in the silk is zero.
b.The tension in the silk equals the spider's weight.
c.The tension in the silk is greater than the spider's weight.
d.The tension in the silk is less than the spider's weight. - ANS d.The tension in the silk is less
than the spider's weight.
Given the vectors 𝐴→=6𝑖̂ +3𝑗̂ �→=6�^+3�^ and 𝐵→=𝑖̂ +9𝑗̂ �→=�^+9�^, find their scalar product
𝐴→⋅𝐵→�→⋅�→
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,Select one:
a. 𝐴→⋅𝐵→=6𝑖̂ +27𝑗̂
b. 𝐴→⋅𝐵→=45
c. 𝐴→⋅𝐵→=54𝑖̂ +27𝑗̂
d. 𝐴→⋅𝐵→=33 - ANS d. 𝐴→⋅𝐵→ = 33
Which is the definition of a derived unit?
Select one:
a. A unit which can be measured directly.
b. A unit which can not be measured directly.
c. A unit which is based on other (basic) units.
d. A unit which can be derived from a mathematical formula. - ANS c. A unit which is based
on other (basic) units.
Torque is given by the formula, 𝜏→=𝐹→×𝑑→�→=�→×�→, where 𝐹→�→ is a force and 𝑑→�→
is a displacement. Which of the following is the magnitude of torque resulting from a 2.4 N
force applied 17 cm from the point of rotation, if the force is applied perpendicular to the
displacement vector?
Select one:
a. 0 N⋅m
b. 40.8 N⋅m
c. 0.41 N⋅m
d. 4.1 N⋅m - ANS c. 0.41 N⋅m
When a small car pulls a trailer for a move, which of the following explains why the trailer
moves?
Select one:
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,a. The car exerts a larger force on the trailer than the trailer does on the car.
b. The action-reaction pair is in the linkage, which pulls the trailer with larger force than that
with which it pulls the car.
c. While the force of the trailer on the car is equal and opposite to the force of the car on the
trailer, the total of all forces acting on the car are unbalanced.
d. The trailer will not move. - ANS c. While the force of the trailer on the car is equal and
opposite to the force of the car on the trailer, the total of all forces acting on the car are
unbalanced.
A Ferris wheel having a radius of 8 m has a velocity of 8 m / s. Is there a danger of the riders
flying off?
Select one:
a. Yes, the Ferris wheel is moving too fast
b. No the Ferris wheel is not moving too fast.
c. Possibly. It depends on the density of the air.
d. Possibly. It depends on the cross section of the riders. - ANS b. No the Ferris wheel is not
moving too fast.
A 3.5 kg object is placed on a frictionless incline as shown in the diagram. The object's initial
velocity is zero and it starts to slide down the incline. What are the acceleration and final
velocity of the object when it reaches the ground level?
Select one:
a. a = 5.6 m / s2v = 8.9 m / s
b. a = 2.1 m / s2v = 14 m / s
c. a = 3.3 m / s2v = 21 m / s
d. a = 1.0 m / s2v = 17 m / s
e. None of the above - ANS a. a = 5.6 m / s2v = 8.9 m / s
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, If the formula for work is given by 𝑊= 𝐹→⋅𝑑→, how much work is done by 60 N force which is
applied as 25∘25∘ with respect to the 13 m displacement?
Select one:
a. 0 N⋅m
b. 330 N⋅m
c. 707 N⋅m
d. 780 N⋅m - ANS c. 707 N⋅m
Assume that the Moon is in circular orbit around the Earth. The distance between the Moon
and the Earth is approximately 3.56 × 106 km. The period of the Moon's orbit is approximately
28 days. What is the acceleration of the Moon in km / h2?
Select one:
a. 311 km / h2
b. 75 km / h2
c. 147 km / h2
d. 233 km / h2
e. None of the above - ANS a. 311 km / h2
King Kong is holding a woman on top of a skyscraper when she suddenly slips out of his hand.
How tall is the building if Superman has a minimum time of 2.30 s to catch the woman before
she hits the ground?
Select one:
a. 10.0 m
b. 11.3 m
c. 25.9 m
d. 51.8 m - ANS c. 25.9 m
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AND ANSWERS
Given the vectors 𝐶→=2𝑖̂ +7𝑗̂ →=2^+7�^ and 𝐷→=14𝑖̂ +38𝑗̂ �→=14�^+38�^, find the angle 𝜃�
between them
Select one:
a. 𝜃 = 86
b. 𝜃= 4∘
c. 𝜃 =0∘
d. 𝜃 = 10∘ - ANS b. 𝜃= 4∘
A spider lowers herself on a single strand of silk at constant speed. Taking into account air
resistance, which of the following must be true?
Select one:
a.The tension in the silk is zero.
b.The tension in the silk equals the spider's weight.
c.The tension in the silk is greater than the spider's weight.
d.The tension in the silk is less than the spider's weight. - ANS d.The tension in the silk is less
than the spider's weight.
Given the vectors 𝐴→=6𝑖̂ +3𝑗̂ �→=6�^+3�^ and 𝐵→=𝑖̂ +9𝑗̂ �→=�^+9�^, find their scalar product
𝐴→⋅𝐵→�→⋅�→
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,Select one:
a. 𝐴→⋅𝐵→=6𝑖̂ +27𝑗̂
b. 𝐴→⋅𝐵→=45
c. 𝐴→⋅𝐵→=54𝑖̂ +27𝑗̂
d. 𝐴→⋅𝐵→=33 - ANS d. 𝐴→⋅𝐵→ = 33
Which is the definition of a derived unit?
Select one:
a. A unit which can be measured directly.
b. A unit which can not be measured directly.
c. A unit which is based on other (basic) units.
d. A unit which can be derived from a mathematical formula. - ANS c. A unit which is based
on other (basic) units.
Torque is given by the formula, 𝜏→=𝐹→×𝑑→�→=�→×�→, where 𝐹→�→ is a force and 𝑑→�→
is a displacement. Which of the following is the magnitude of torque resulting from a 2.4 N
force applied 17 cm from the point of rotation, if the force is applied perpendicular to the
displacement vector?
Select one:
a. 0 N⋅m
b. 40.8 N⋅m
c. 0.41 N⋅m
d. 4.1 N⋅m - ANS c. 0.41 N⋅m
When a small car pulls a trailer for a move, which of the following explains why the trailer
moves?
Select one:
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,a. The car exerts a larger force on the trailer than the trailer does on the car.
b. The action-reaction pair is in the linkage, which pulls the trailer with larger force than that
with which it pulls the car.
c. While the force of the trailer on the car is equal and opposite to the force of the car on the
trailer, the total of all forces acting on the car are unbalanced.
d. The trailer will not move. - ANS c. While the force of the trailer on the car is equal and
opposite to the force of the car on the trailer, the total of all forces acting on the car are
unbalanced.
A Ferris wheel having a radius of 8 m has a velocity of 8 m / s. Is there a danger of the riders
flying off?
Select one:
a. Yes, the Ferris wheel is moving too fast
b. No the Ferris wheel is not moving too fast.
c. Possibly. It depends on the density of the air.
d. Possibly. It depends on the cross section of the riders. - ANS b. No the Ferris wheel is not
moving too fast.
A 3.5 kg object is placed on a frictionless incline as shown in the diagram. The object's initial
velocity is zero and it starts to slide down the incline. What are the acceleration and final
velocity of the object when it reaches the ground level?
Select one:
a. a = 5.6 m / s2v = 8.9 m / s
b. a = 2.1 m / s2v = 14 m / s
c. a = 3.3 m / s2v = 21 m / s
d. a = 1.0 m / s2v = 17 m / s
e. None of the above - ANS a. a = 5.6 m / s2v = 8.9 m / s
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, If the formula for work is given by 𝑊= 𝐹→⋅𝑑→, how much work is done by 60 N force which is
applied as 25∘25∘ with respect to the 13 m displacement?
Select one:
a. 0 N⋅m
b. 330 N⋅m
c. 707 N⋅m
d. 780 N⋅m - ANS c. 707 N⋅m
Assume that the Moon is in circular orbit around the Earth. The distance between the Moon
and the Earth is approximately 3.56 × 106 km. The period of the Moon's orbit is approximately
28 days. What is the acceleration of the Moon in km / h2?
Select one:
a. 311 km / h2
b. 75 km / h2
c. 147 km / h2
d. 233 km / h2
e. None of the above - ANS a. 311 km / h2
King Kong is holding a woman on top of a skyscraper when she suddenly slips out of his hand.
How tall is the building if Superman has a minimum time of 2.30 s to catch the woman before
she hits the ground?
Select one:
a. 10.0 m
b. 11.3 m
c. 25.9 m
d. 51.8 m - ANS c. 25.9 m
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