Physics 107 Quantitative Pre-Assessment

Quantitative Assessment
pre-quiz in math skills

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Question 1: Consider triangle ABC.

(a) If A = 35° and B = 90°, find C in degrees.
(b) If AB = 4 and BC = 3, how long is AC?
(c) If AB = 15 and BC = 12, what is the area of the triangle?

Question 2

(a) Express 2,130,000 in scientific notation. (Use a carat ^ for exponentiation and x for multiplication; for example, 200=2x10^2.)

(b) Simplify

(1.2 x 10⁸) (3.0x10³)

_______________

6.0 x 10⁴

Question 3

Question 4: Three variables, x, y, and z, are related by the equation z = xy.

(a) Given x = 4 and y = 8, determine z.
(b) Given x = 4 and z = 8, determine y.
(c) (a) Given z = 4 and y = 8, determine x.

Question 5: The radius of Venus is about 6,000 km, while Neptune's radius is about 24,000 km.

(a) How do their surface areas compare? Neptune's surface area is times larger than that of Venus.
(b) How do their volumes compare? Neptune's volume is times larger than that of Venus.

Question 6

Given the formula h = ½ gt², if h = 64 ft and g = 32 ft/sec², what is the value of t?

Question 7: The variables v and are related by the Pythagorean Theorem according to the following diagram:

If v/c = 3/5, what is the value of

Question 8

The formula

relates the force of gravity F to the distance R between two objects. What happens to the value of F if the distance between the objects doubles?
F will be its previous value.

Question 9

Simplify: -3.4 - (-10.1 - 3.5)

Question 10: The following three graphs describe the motion of an object.


(a) What is the object's speed in graph A? (b) Is the object moving faster in graph A or graph B? (c) Is the object moving faster in graph B or graph C?

Question 11: The following three graphs describe the motion of an object.


In which graph is the object speeding up?

Question 12: The following graph describes an object's velocity v at position x.

(a) When v = 0, what is x?
(b) When x has its lowest value, what is v?

Question 13: The following graph shows the color spectrum of two heated gases. The colors are labeled ROYGBV for red, orange, yellow, green, blue, and violet.

(a) Which is the brightest color for curve A?
(b) Which is the brightest color for curve B?