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College Physics - PH 201 > Chapter 1: Basic Math Review > Flashcards

Chapter 1: Basic Math Review Flashcards

Notes from class, example problems, homework problems

1
Q

Physical quantities are expressed with _______ and _____

A

Numbers / Units

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2
Q

What is the abbreviation for “Mega”?

A

M

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3
Q

What is the abbreviation for Kilo?

A

k

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4
Q

What is the abbreviation for Centi?

A

c

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5
Q

What is the abbreviation for milli

A

m

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6
Q

What is the abbreviation for micro

A

mu

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7
Q

What is the abbreviation for nano?

A

n

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8
Q

What is the value of M?

A

Million / 10^6

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9
Q

What is the value of k?

A

1,000 / 10^3

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10
Q

What is the value of centi?

A

0.01 / 10^-2

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11
Q

What is the value of milli?

A

0.001 / 10^-3

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12
Q

What is the value of micro?

A

10^-6

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13
Q

What is the value of nano?

A

10^-9

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14
Q

What is the method for converting units?

A

Multiply by 1 and ensure old units are canceled away

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15
Q

What does SOH-CAH-TOA stand for?

A

Sin = opp/hyp
Cos = adj/hyp
Toa = opp/adj

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16
Q

Define vector

A

A quantity with a direction and a strength (magnitude)

17
Q

T/F: The magnitude of a vector is always a positive number.

A

True

18
Q

What is the difference between distance and displacement?

A

Distance is the total amount travleded while displacement is the amount moved from start to finish.

Ex: A swimmer swim laps of a 50ft pool. They swim 6 times. Their distance is (50x6) but their displacement is 0.

19
Q

How many significant figures does 2.0 have?

A

2

20
Q

How many significant figures does 2.02 have?

A

3

21
Q

How many significant figures does 2.020 have?

A

4 (any 0 past a decimal point is significant)

22
Q

How many significant figures does 0.202 have?

A
  1. (Leading 0’s are never significant)
23
Q

How many significant figures does 202ō

A

4 (A line above the last number means that number is measured and therefore significant)

24
Q

How many signifiant figures does 20ō0 have?

A

3 (since the 0 with a line above it is the last measured number, the 0 after it is considered “rounding” and therefore NOT significant)

25
Q

How many significant figures is 2020?

A

3 for sure, but maybe 4. It is inconclusive since we do not know what is and is not measured.

26
Q

Evaluate 5.113 + 4.90 and give proper sig. figs

A

10.01.

We have 4 sig. figs. because when +/- cut off at the decimal point in the same position. (So since 4.90 is the lower value, but has 2 decimal places, our final answer must have 2 decimal places)

27
Q

What is meant by “polar” form?

A

Instead of x,y coordinates you would say “28 North of east” to represent the direction.

28
Q

How many sig. figs. is 3000?

A

1, trailing 0’s NOT behind a decimal are not significant

29
Q

How many sig. figs. is 0.009?

A

1, leading zeros, even after a decimal are not significant

30
Q

How many sig. figs is 4.050?

A

4

31
Q

How many sig. figs is 2300

A

2, trailing 0’s are not significant

32
Q

Consider this formula: z = y /x

If Z = 4.0, and y = 6.0, what is the value of x? Express your answer to the tenths place

A

X = 1.5

Explanation:
1.) Assess what you know
z = 4.0
y = 6.0
2) Rearrange the equation
2a) z = y / x
i) Multiply both sides by x
2b) zx = y
ii) divide both sides by z
2c) x = y/z
3) Plug in the numbers
3a) x = 6.0 / 4.0
3b) x = 1.5

33
Q

The expression a-(b+c) is equal to which quantities

  1. a - b - c
  2. (a-b)+c
  3. a - b + c
A
  1. a - b - c

Explanation:

a - (b+c)
a - (bc)
distribute the - sign
a - b - c

34
Q

Rearrange the equation to isolate a

(a + b/c)(d-e) = f

A

a = f/(d-e) - b/c

explanation:
(a + b/c)(d-e) = f
-Divide (d-e)
(a+ b/c) = f / (d-e)
-Subtract b/c
a = f/(d-e) - b/c

35
Q

Solve for x

625 = 5x^3

Express the answer to the hundredth place

A

x = 5

Explanation
625 = 5x^3
-divide both sides by 5
125 = x^3
-take the cube root of both sides
x = 5

36
Q

A certain line is defined by the equation

y = 5x-8 / 2

What is the slope? (Hint: y=mx+b)

A

m = 5/2

Explanation:
y = mx+b
y = 5x +b
5 = m
Slope = rise / run
5 /2

37
Q

A certain line is defined by the equation

y = 5x-8 / 2

What is the y-intercept of the line? (Hint: y=mx+b)

A

b = -4

Explanation:
y = 5x - 8
y = mx + b
b = -8
-8 /2 = -4

38
Q

What is the scientific notation of 673.5?

A

6.735 x 10^2

39
Q

What is the scientific notation of 0.034?

A

3.4 x 10^-2

College Physics - PH 201 (10 decks)

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