Question 1

To find the slope from a graph of data for which a linear relation is expected, you should

Accepted Answer

Using two distant points on the best-fit line, which are not actual data points, provides a more accurate representation of the overall trend of the data by minimizing the impact of any individual outlier or small-scale variation. This method ensures that the calculated slope reflects the general direction and rate of change of the entire dataset.

Question 2

A 2.0 kg object is moving at a speed of v = 12.0 m/s. The drag force is 6.0 N. If the drag force is given by the equation F = bv², then the value of b is

Accepted Answer

The answer of A 2.0 kg object is moving at...

Question 3

Find the equation v² = ah + b that fits the following data.

Accepted Answer

The answer of Find the equation v² = ah +...

Question 4

Consider the ratio of the surface area of a sphere to its volume. What happens to this ratio if the diameter of the sphere increases by a factor of 3?

Accepted Answer

The surface area of a sphere is given by $4\pi r^2$, and its volume is given by $\frac{4}{3}\pi r^3$, where $r$ is the radius. The ratio of surface area to volume is therefore $\frac{4\pi r^2}{\frac{4}{3}\pi r^3} = \frac{3}{r}$. If the diameter (and thus the radius) increases by a factor of 3, the ratio decreases by a factor of 3, because the ratio is inversely proportional to the radius.

Question 5

After carefully reading a physics problem, a good first step in solving it is to

Accepted Answer

Drawing a sketch or diagram helps to visualize the problem and identify key variables, which is an important first step in solving a physics problem. Working backwards, looking up similar problems, or looking up equations without understanding the problem may not be helpful in solving the problem.

Question 6

Consider the ratio of the surface area of a cube to its volume. What happens to this ratio if the side length of the cube decreases by a factor of 2?

Accepted Answer

The surface area of a cube is given by $6a^2$ and its volume by $a^3$, where $a$ is the side length. The ratio of surface area to volume is $\frac{6a^2}{a^3} = \frac{6}{a}$. If the side length decreases by a factor of 2, $a$ becomes $\frac{a}{2}$, making the new ratio $\frac{6}{a/2} = \frac{12}{a}$, which is an increase by a factor of 2.

Question 7

A liter is equivalent to 33.8 fluid ounces. How many liters of gasoline are required to fill a 21 gallon gas tank, if 1 gallon is equivalent to 128 fluid ounces?

Accepted Answer

First, convert gallons to fluid ounces: 21 gallons * 128 fluid ounces/gallon = 2688 fluid ounces. Then, convert fluid ounces to liters: 2688 fluid ounces / 33.8 fluid ounces/liter ≈ 79.41 liters, which rounds to 80 liters.

Question 8

What is the approximate volume of the average adult human body?

Accepted Answer

The average adult human body has a volume of approximately 0.1 cubic meters, considering an average weight and density similar to water.

Question 9

The best way to learn problem-solving techniques for physics is to

Accepted Answer

The best way to learn problem-solving techniques for physics is to practice them. This allows for active engagement with the material and helps to develop problem-solving skills through repetition and trial and error. Watching others, memorizing, or reading about the techniques may help to some extent, but ultimately, the ability to solve physics problems comes through practice and application.

Question 10

Estimate the surface area of an adult human's head.

Accepted Answer

The average adult human head has a surface area of approximately 0.1 square meters. This estimate considers the head as a part of the body with a relatively small surface area compared to the total body surface area.

Question 11

Which of the following is a reasonable estimate for the total surface area of all the seats in a football stadium that seats 100,000 spectators? Consider only the horizontal portion of the seats (the part that people actually sit on).

Accepted Answer

If each seat has an area of about 0.1 m² (a reasonable estimate for the horizontal portion), then for 100,000 seats, the total area would be approximately 10,000 m², which is 1 × 10⁴ m².

Question 12

What is the approximate volume of an adult human's head?

Accepted Answer

The answer of What is the approximate volume of an...

Question 13

A major league pitcher is recorded as having thrown a 105 mph fastball. What is the speed of the pitch in m/s? One mile is equivalent to 1609 m.

Accepted Answer

To convert mph to m/s, we need to use the conversion factor of 1 mile = 1609 m and convert hours to seconds by dividing by 3600 (or multiplying by 1/3600).

105 mph = (105 x 1609 m) / (3600 s) = 47 m/s.

Therefore, the answer is C) 47 m/s.

Question 14

A graph of x vs. t² is linear, and intercepts the vertical axis at 12 m and the horizontal axis at 4 s². What is the function?

Accepted Answer

The slope of the line can be calculated using the intercepts given. The slope (m) is change in y over change in x, which is (0 - 12) / (4 - 0) = -3 m/s. Therefore, the equation is x = 12 m - (3 m/s)t, matching option C.

Quiz 1: Introduction

To find the slope from a graph of data for which a linear relation is expected, you should

A 2.0 kg object is moving at a speed of v = 12.0 m/s. The drag force is 6.0 N. If the drag force is given by the equation F = bv², then the value of b is

Find the equation v² = ah + b that fits the following data.

Consider the ratio of the surface area of a sphere to its volume. What happens to this ratio if the diameter of the sphere increases by a factor of 3?

After carefully reading a physics problem, a good first step in solving it is to

Consider the ratio of the surface area of a cube to its volume. What happens to this ratio if the side length of the cube decreases by a factor of 2?

A liter is equivalent to 33.8 fluid ounces. How many liters of gasoline are required to fill a 21 gallon gas tank, if 1 gallon is equivalent to 128 fluid ounces?

What is the approximate volume of the average adult human body?

The best way to learn problem-solving techniques for physics is to

Estimate the surface area of an adult human's head.

Which of the following is a reasonable estimate for the total surface area of all the seats in a football stadium that seats 100,000 spectators? Consider only the horizontal portion of the seats (the part that people actually sit on) .

What is the approximate volume of an adult human's head?

A major league pitcher is recorded as having thrown a 105 mph fastball. What is the speed of the pitch in m/s? One mile is equivalent to 1609 m.

A graph of x vs. t² is linear, and intercepts the vertical axis at 12 m and the horizontal axis at 4 s². What is the function?

Quiz 1: Introduction

To find the slope from a graph of data for which a linear relation is expected, you should

A 2.0 kg object is moving at a speed of v = 12.0 m/s. The drag force is 6.0 N. If the drag force is given by the equation F = bv2, then the value of b is

Find the equation v2 = ah + b that fits the following data.

Consider the ratio of the surface area of a sphere to its volume. What happens to this ratio if the diameter of the sphere increases by a factor of 3?

After carefully reading a physics problem, a good first step in solving it is to

Consider the ratio of the surface area of a cube to its volume. What happens to this ratio if the side length of the cube decreases by a factor of 2?

A liter is equivalent to 33.8 fluid ounces. How many liters of gasoline are required to fill a 21 gallon gas tank, if 1 gallon is equivalent to 128 fluid ounces?

What is the approximate volume of the average adult human body?

The best way to learn problem-solving techniques for physics is to

Estimate the surface area of an adult human's head.

Which of the following is a reasonable estimate for the total surface area of all the seats in a football stadium that seats 100,000 spectators? Consider only the horizontal portion of the seats (the part that people actually sit on) .

What is the approximate volume of an adult human's head?

A major league pitcher is recorded as having thrown a 105 mph fastball. What is the speed of the pitch in m/s? One mile is equivalent to 1609 m.

A graph of x vs. t2 is linear, and intercepts the vertical axis at 12 m and the horizontal axis at 4 s2. What is the function?

A 2.0 kg object is moving at a speed of v = 12.0 m/s. The drag force is 6.0 N. If the drag force is given by the equation F = bv², then the value of b is

Find the equation v² = ah + b that fits the following data.

A graph of x vs. t² is linear, and intercepts the vertical axis at 12 m and the horizontal axis at 4 s². What is the function?