True or false: A correct free-body diagram for an object should include the object's velocity and acceleration vectors in addition to the forces acting on it.
13 - Experimental Methods and Comprehensive Review Online Quiz Questions
Use this free practice quiz with 20 questions to review 13 - Experimental Methods and Comprehensive Review, test your knowledge, and prepare for your next test or exam.
True or false: In an interaction with negligible net external impulse, total momentum can be conserved even when kinetic energy is not conserved.
- A
True
- B
False
A student wants to test the mass–spring model T=2πm/k. Which graph and slope interpretation correctly linearize the model?
- A
A plot of T versus m, with slope 4π2/k
- B
A plot of T2 versus m, with slope 4π2/k
- C
A plot of m versus T2, with slope 4π2/k
- D
A plot of T2 versus 1/m, with slope 4π2/k
Two carts collide on a nearly frictionless track. Which modeling choice best supports applying momentum conservation to the collision?
- A
Analyze each cart separately and ignore the collision force
- B
Use conservation of kinetic energy for the two-cart system in every collision
- C
Analyze both carts as one system and require negligible external impulse
- D
Use the normal force on each cart as the external impulse
A force sensor has a zero offset that makes every measured force too large by the same amount. Which statement best describes the effect of taking many repeated trials and averaging them?
- A
It is random error because all measurements are repeated.
- B
It is random error because calibration affects the instrument.
- C
It is reduced completely by taking more trials.
- D
It is systematic error because a consistent calibration shift is not removed by averaging.
A student investigates how the mass affects the period of a mass–spring oscillator. Which changes would generally strengthen the experiment? Select all correct choices.
- A
Measure the time for many oscillation cycles and divide by the number of cycles.
- B
Repeat trials and average the results.
- C
Change the mass and spring stiffness together in every trial.
- D
Use a wider range of mass values while keeping the spring the same.
- E
Assume that repeated measurements eliminate a consistent sensor calibration error.
Which statements correctly describe interpreting graphs or evaluating a physical model? Select all correct choices.
- A
The slope of a velocity-versus-time graph represents acceleration.
- B
The area under an acceleration-versus-time graph represents displacement.
- C
A high correlation by itself proves that the proposed physical model is correct.
- D
The residual is defined as ymeasured−ymodel.
- E
A curved pattern in residuals strongly supports that the model is complete.
Three measurements of a length are 0.80 m, 0.84 m, and 0.82 m. What is the mean length? Enter the value in metres.
In an experiment, the quantity deliberately changed is the , while the quantity measured in response is the .
A model is supported more strongly when residuals are . If residuals form a , the model may be missing a physical effect.
Design an experiment to determine the coefficient of kinetic friction for a cart sliding down a rough incline. Describe what you would vary and measure, important controls, how repeated trials and data analysis would be used, and how the results would support or challenge the model.
A periodic mechanical wave enters a different medium. Which quantity generally remains fixed because it is determined by the source?
- A
The amplitude is always fixed by the new medium.
- B
The wavelength remains fixed because the source sets it.
- C
The frequency generally remains fixed because the source sets it.
- D
The wave speed remains fixed because it is independent of the medium.
A force acts on a rigid object, and its line of action passes directly through the specified rotation axis. What is the torque of this force about that axis?
- A
The force always produces maximum torque because it acts on the object.
- B
The force produces zero torque because its line of action passes through the axis.
- C
The force produces torque equal to rF regardless of direction.
- D
The force produces torque only if the object is translating.
A cart's constant acceleration and displacement are known, but the forces causing its motion are not being analyzed. Which physical model is most appropriate?
- A
Kinematics
- B
Newton's laws
- C
Momentum conservation
- D
Rotational dynamics
Which quantity should not be drawn as a force vector on a free-body diagram for a selected object?
- A
The object's acceleration
- B
The normal force on the object
- C
The friction force on the object
- D
The gravitational force on the object
True or false: Repeating a measurement many times and averaging the results eliminates a consistent calibration error.
- A
True
- B
False
For an ideal mass–spring oscillator, a graph of T2 versus mass m is constructed. What physical quantity does the slope represent?
- A
k4π2
- B
4π2k
- C
k2π
- D
k
In an experiment testing how the period of a mass–spring oscillator depends on the attached object, which quantity is deliberately changed?
A force of 8.0N is applied at a distance of 0.50m from an axis. The angle between the position vector and the force is 30∘. What is the torque magnitude? Enter the numerical value in newton-metres.
A quantity is calculated as q=ab. The measured value of a has a fractional uncertainty of 3%, and the measured value of b has a fractional uncertainty of 4%. Using the introductory propagation-of-uncertainty approximation, what is the fractional uncertainty in q? Enter the answer in percentage points, to within ±0.1 percentage points.