Mixed

Question 1

A 1.30-kg cylindrical lid of radius 5.00×10⁻² m
is trapped in a vertical tube. The pressures above and below the lid are Pᵃᵇᵒᵛᵉ = 2.50 × 10³ Pa and Pᵇᵉˡᵒʷ = 1.50 × 10³ Pa, respectively. What is the net force acting on the lid? Ignore the friction due to the walls of the tube.
A. 7.85 N, downward
B. 18.7 N, upward
C. 20.6 N, downward
D. 44.2 N, upward

Answer 1

1: C. 20.6 N, downward

Question 2

A 30.0-m tall open tank is half-filled with water, then filled to the brim with
a mystery fluid of density 690. kg/m³ that sits on top of the water. What is the absolute pressure at the bottom of the tank?
A. 350 kPa
B. 699 kPa
C. 497 kPa
D. 249 kPa

Answer 2

2: A. 350 kPa

Question 3

A robotic hydraulic arm
is powered by a piston chamber with cross-sectional area of 2.00 cm²
connected to a longer
but thinner piston chamber with cross-sectional area of 1.00 cm². If a 5.00 N-force can be applied on the longer piston chamber, how much
force can the robotic hydraulic arm exert?
A. 20.0 N
B. 10.0 N
C. 2.50 N
D. 1.25 N

Answer 3

3: B. 10.0 N

Question 4

A cubical box with side length of 0.520 m floats in water with half of its height submerged. A string is used to anchor the box so that it is fully submerged
as shown. What is the tension in the string?
A. 2070 N
B. 1380 N
C. 689 N
D. 172 N

Answer 4

4: C. 689 N

Question 5

A cubical block made of some unknown
material is at rest and fully submerged in a mixture of oil (ρₒᵢₗ = 8.00 × 10² kg/m³) and water. One fourth of the block is in oil and the rest is in water. What is the
density of the block?
A. 850 kg/m³
B. 900 kg/m³
C. 950 kg/m³
D. 1000 kg/m³

Answer 5

5: C. 950 kg/m³

Question 6

An incompressible fluid flows out of a cylindrical tube with diameter 5.0 cm at a volume flow rate of 5.0 cm³/s. What is the speed of the fluid as it flows out of the tube?
A. 0.25 cm/s
B. 0.064 cm/s
C. 0.32 cm/s
D. 0.16 cm/s

Answer 6

6: A. 0.25 cm/s

Question 7

Which of the following statement/s is/are true about airplane lift?
I. The upward lift is due to the difference in pressure above and below the wing of the airplane
II. The pressure above the wing is lower than the pressure below it.
III. The air above the wing moves slower than the air below it.
A. I only
B. I and II only
C. I and III only
D. All of the above

Answer 7

7: B. I and II only

Question 8

A water pipe located at the top of the 15.0 m tall dojo owned by Bruce Lee has a diameter of 6.00 × 10⁻² m. It is connected to the exhaust pipe (diameter
of 3.00 × 10⁻² m) with pressure reading of 1.00× 10⁵ Pa and is located 3.00 m above the ground. If the velocity of the water at the exhaust pipe is 10.0 m/s, what is the water pressure at the top of the dojo?
A. 2.93 x 10⁴ Pa
B. 1.99 x 10⁴ Pa
C. 3.30 x 10⁵ Pa
D. 3.23 x 10⁴ Pa

Answer 8

8: A. 2.93 x 10⁴ Pa

Question 9

Which one of the following statements is true concerning an object undergoing simple harmonic motion?
A. Its velocity is never zero
B. Its acceleration is never zero.
C. Its velocity is zero when its acceleration is zero.
D. Its velocity is zero when its acceleration is a maximum.

Answer 9

9: D. Its velocity is zero when its acceleration is a maximum.

Question 10

The velocity of a certain spring-mass system in simple harmonic motion is given by vₓ(t) = (-12.0 m/s) sin [(6.00 rad/s)t].
What is the maximum displacement of the oscillator from the equilibrium position?
A. 0.500 m
B. 2.00 m
C. 12.0 m
D. 72.0 m

Answer 10

10: B. 2.00 m

Question 11

If the mass of the oscillator is 4.20 kg, what is the spring constant?
A. 1.20 N/m
B. 12.3 N/m
C. 25.2 N/m
D. 151 N/m

Answer 11

11: D. 151 N/m

Question 12

A block of mass 5.00 kg attached to a horizontal spring with force constant
100. N/m is moving in simple harmonic motion. When the block is 2.00 m away from its equilibrium position, its speed is 2.00 m/s. What is the amplitude of oscillation?
A. zero
B. 1.48 m
C. 2.05 m
D. 2.86 m

Answer 12

12: C. 2.05 m

Question 13

A mass oscillates with amplitude A at the end of a spring. How far is the
mass from the equilibrium position of the spring when the potential energy is four times the kinetic energy?
A. √5/2 A
B. 2/√5 A
C. 1/√5 A
D. 1/2 A

Answer 13

13: B. 2/√5 A

Question 14

A box of Bonakid with mass 45 kg is attached on a lightweight vertical spring with constant k = 550 N/m. The spring stretches by 80.0 cm as it reaches the equilibrium state. If it is pulled down by another 10.0 cm then released, what will be the angular frequency of the oscillation?
A. 0.56 rad/s
B. 1.10 rad/s
C. 1.80 rad/s
D. 3.50 rad/s

Answer 14

14: D. 3.50 rad/s

Question 15

The Martian prepares for another Mars expedition and this time, he brings a
0.200-m simple pendulum along with him. How many full cycles did the pendulum make in 125s if g = 3.73 m/s² on Mars?
A. 42
B. 86
C. 181
D. 192

Answer 15

15: B. 86

Question 16

A light string of length 2R is used to hang a uniform ring of radius R and mass M. If the ring is displaced by a small angle with respect to the vertical, what is the angular frequency of the ring’s oscillation? The moment of inertia of the ring about its center of mass is Icm = MR²
A. √ (g / 3R)
B. √ (2g / 5R
C. √ (4g / 17R)
D. √ (3g / 10R)

Answer 16

16: D. √ (3g / 10R)

Question 17

Which of the following is TRUE for an overdamped oscillator?
I. It oscillates with a steadily decreasing frequency.
II. It returns to its equilibrium position without oscillation.
III. Its damping force is nonconservative.
A. I only
B. I and II
C. II and III
D. I and III

Answer 17

17: C. II and III