Q: A student needs to convert a speed of 100 km/hr to m/s. Which calculation is correct?

$$100 \times \frac{1000\ m}{1\ km} \times \frac{1\ hr}{3600\ s}$$

Q: Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse in a right triangle?

$$\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}$$

Question 1

A patient receives an IV drip as shown in the image. If the IV bag is raised higher above the patient, what happens to the pressure at the point where the fluid enters the vein? Assume the fluid density remains constant.

Accepted Answer

The pressure increases because pressure is given by $$P = P_0$ + \rho g h.$$

Question 2

Which mathematical operation is essential for converting units, such as feet to meters, as shown in the images?

Accepted Answer

Multiplication by a conversion factor, such as $$\left[ \frac{1.00\ m}{3.28\ ft} \right]$$

Question 3

A person is performing a shoulder pendulum exercise as shown. Which physics concept best explains the motion of the arm?

Accepted Answer

Rotational motion and torque

Question 4

The waveform shown in the image represents a heartbeat. Which mathematical function is most appropriate for modeling this periodic signal?

Accepted Answer

Trigonometric function, such as $$y = A \sin(\omega t)$$

Question 5

In the mitochondrion diagram, ATP is produced from ADP and $$P_i. $$Which form of energy conversion is primarily involved?

Accepted Answer

Chemical to chemical (via electron transport and proton gradient)

Question 6

If a student converts 15 ft to meters using the conversion factor $$\left[ \frac{1.00\ m}{3.28\ ft} \right]$$, what is the result?

Accepted Answer

Approximately 4.5 m

Question 7

Why is choosing a coordinate system a crucial first step in solving physics problems?

Accepted Answer

It allows for consistent direction assignment and simplifies equations.

Question 8

A student needs to convert a speed of 100 km/hr to m/s. Which calculation is correct?

Accepted Answer

$$100 	imes \frac{1000\ m}{1\ km} 	imes \frac{1\ hr}{3600\ s}$$

Question 9

Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse in a right triangle?

Accepted Answer

$$\sin 	heta = \frac{	ext{opposite}}{	ext{hypotenuse}}$$

Question 10

A person on the opposite side of the globe is sometimes described as 'upside down.' What is the best physics explanation for why this statement is inaccurate?

Accepted Answer

Gravity always pulls objects toward the center of the Earth, so 'down' is locally defined.

Question 11

In a hospital, a patient’s IV drip rate is too slow. Which adjustment would increase the flow rate, according to fluid dynamics?

Accepted Answer

Raise the IV bag to increase pressure difference.

Question 12

Which of the following best describes the relationship between energy and the citric acid cycle in the mitochondrion?

Accepted Answer

Energy is stored in ATP molecules.

Question 13

A waveform is measured in a patient’s heart monitor. If the period of the wave is 0.8 seconds, what is the frequency?

Accepted Answer

$$f = \frac{1}{0.8\ s} = 1.25\ Hz$$

Question 14

A student is asked to solve for $$x in $$the equation $$3x + 5 = 20. $$What is the correct solution?

Accepted Answer

$$x = 5$$

Question 15

Which of the following is a correct example of unit analysis for converting 100 km/hr to m/s?

Accepted Answer

$$100 	imes \frac{1000\ m}{1\ km} 	imes \frac{1\ hr}{3600\ s}$$

Question 16

Which mathematical pillar is most important when analyzing the relationship between physical quantities in physics?

Accepted Answer

Algebra for solving equations

Question 17

A student is asked to convert 15 ft to meters. Which conversion factor should they use?

Accepted Answer

$$\left[ \frac{1.00\ m}{3.28\ ft} \right]$$

Physics 100: Foundations and Mathematical Tools for Physics with Calculus

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