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Quiz about Derivatives and Integrals in Physics
Quiz about Derivatives and Integrals in Physics

Derivatives and Integrals in Physics Quiz

The language of calculus was invented, in large part, to better explain the physical world around us. Don't worry, there are only concepts and no numbers involved.

A multiple-choice quiz by pannkuk. Estimated time: 3 mins.
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Author
pannkuk
Time
3 mins
Type
Multiple Choice
Quiz #
368,676
Updated
Dec 03 21
# Qns
10
Difficulty
Average
Avg Score
6 / 10
Plays
398
- -
Question 1 of 10
1. A derivative represents the rate of change of something. What is the derivative of a velocity function with respect to time? Hint


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Question 2 of 10
2. An integral is the product of two quantities. What physical quantity is obtained when you take the integral of a velocity function with respect to time? Hint


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Question 3 of 10
3. What is the derivative of the momentum function with repect to time? Hint


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Question 4 of 10
4. What is the integral of the force function with respect to time? Hint


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Question 5 of 10
5. What is the integral of the force function with respect to displacement? Hint


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Question 6 of 10
6. What is the derivative of electric potential with respect to distance? Hint


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Question 7 of 10
7. What is the derivative of the work function with respect to time? Hint


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Question 8 of 10
8. What is the derivative of charge function with respect to time? Hint


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Question 9 of 10
9. What is the derivative of the magnetic flux function for a loop of wire with respect to time? Hint


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Question 10 of 10
10. For spinning objects, what is the integral of the square of the radius with respect to mass? Hint



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Quiz Answer Key and Fun Facts
1. A derivative represents the rate of change of something. What is the derivative of a velocity function with respect to time?

Answer: acceleration

 Acceleration is the rate at which your velocity changes (dv/dt). Velocity has units of meters/second. When divided by time we get meters/second squared, the common unit for acceleration.

Car commercials will sometimes state that their vehicle can go from "0 to 60mph in 6s." This represents the acceleration of the car.
2. An integral is the product of two quantities. What physical quantity is obtained when you take the integral of a velocity function with respect to time?

Answer: displacement

 Multiplying the units of velocity and time (meters/second and seconds) results in meters - the unit for displacement.
3. What is the derivative of the momentum function with repect to time?

Answer: net force

 This is the original version of Newton's Second Law. Momentum is the product of mass and velocity. Taking the derivative of velocity yields acceleration. Multiplying that by the mass results in net force.
4. What is the integral of the force function with respect to time?

Answer: impulse

 Impulse causes a change in momentum for an object. Units of force times time are the same as those of momentum (mass times velocity.)
5. What is the integral of the force function with respect to displacement?

Answer: work

 Work describes the change in energy of an object. Note that even if a large force is applied to an object at rest, no work is done. A weightlifter who holds a 100kg barbell over is head does no work on it in keeping it there.
6. What is the derivative of electric potential with respect to distance?

Answer: electric field

 Any field (electric, gravitational, etc.) is a region in space where a force could be exerted on an object. What "reaches out" through space to exert a push or pull is still a mystery in the world of physics.
7. What is the derivative of the work function with respect to time?

Answer: power

 The rate of change of work (and also energy) is power. There are several units, including watts and horsepower.
8. What is the derivative of charge function with respect to time?

Answer: current

 Electric current is measured in amperes. A sustained current through your body of a tenth of one amp will most likely result in death.
9. What is the derivative of the magnetic flux function for a loop of wire with respect to time?

Answer: electromotive force

 The unit for electromotive force (EMF) is volts. This formula helps explains how turbines can turn mechanical energy into electrical energy.
10. For spinning objects, what is the integral of the square of the radius with respect to mass?

Answer: moment of inertia

 The more rotational inertia an object has, the harder it is to make it spin. The further the mass is placed from the spin axis, the more inertia it will have and therefore, the more difficult it will be to change its rotational speed. For instance, it is much easier to spin a broomstick about an axis running along its length than it is to spin the same broomstick through an axis passing through one end. Try it!
Source: Author pannkuk

This quiz was reviewed by FunTrivia editor rossian before going online.
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Referenced Topics
World   Science   Languages   Physics   Calculus  

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