Q: A weight lifter can bench press $$171\ \mathrm{kg}. $$How many milligrams (mg) is this?

$$1.71 \times 10^8$\ \mathrm{mg}$$

Q: A person on a diet loses $$1.6\ \mathrm{kg} in a $$week. How many micrograms ($$\mu\mathrm{g}) $$are lost?

$$1.6 \times 10^9$\ \mu\mathrm{g}$$

Question 1

Convert $$1.2 	imes 10$$^{-3}$$ to decimal notation.

Accepted Answer

$$0.0012$$

Question 2

How many significant figures are in the number $$0.003010$$?

Accepted Answer

5 significant figures

Question 3

The length and width of a rectangle are $$1.125\ \mathrm{m}$$ and $$0.606\ \mathrm{m}$$, respectively. Multiplying, your calculator gives the product as $$0.68175. $$Rounding properly to the correct number of significant figures, the area should be written as:

Accepted Answer

$$0.68\ \mathrm{m}^2$$

Question 4

A weight lifter can bench press $$171\ \mathrm{kg}. $$How many milligrams (mg) is this?

Accepted Answer

$$1.71 	imes 10^8$\ \mathrm{mg}$$

Question 5

A computer can perform $$6.7 	imes 10^7$ calculations per second. How many calculations does it perform in 15$$\ \mathrm{ms}$$?

Accepted Answer

$$1.0 	imes 10^6$

Question 6

A person on a diet loses $$1.6\ \mathrm{kg} in a $$week. How many micrograms ($$\mu\mathrm{g}) $$are lost?

Accepted Answer

$$1.6 	imes 10^9$\ \mu\mathrm{g}$$

Question 7

Convert a speed of $$4.50\ \mathrm{km/h} to $$units of $$\mathrm{ft/min}$$ ($$1.00\ \mathrm{m} = 3.28\ \mathrm{ft}).$$

Accepted Answer

$$246\ \mathrm{ft/min}$$

Question 8

The slope at a point on a position-versus-time graph of an object is:

Accepted Answer

The object's velocity at that point.

Question 9

Suppose we define the y-axis to point vertically upward. When an object is in free fall, its acceleration in the y-direction is:

Accepted Answer

$$a_y = g$$, where $$g = -9.80\ \mathrm{m/s}^2$$

Question 10

Which of the following statements about acceleration due to gravity is correct?

Accepted Answer

It is negative when defined upward as positive.

Question 11

A car travels $$55\ \mathrm{m}$$ north, then $$55\ \mathrm{m}$$ east. What is the magnitude of its displacement?

Accepted Answer

$$77.8\ \mathrm{m}$$

Question 12

Given vectors $$\vec{A} = 100\hat{i} + 200\hat{j}$$ and $$\vec{B} = 200\hat{i} + 800\hat{j}$$, what is the magnitude of $$\vec{C} = \vec{A} + \vec{B}$$?

Accepted Answer

$$1000\sqrt{0.05}$$

Question 13

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 14

If an object moves with constant acceleration, which equation relates its displacement $$\Delta x to $$its initial velocity $$v_0$$, acceleration $$a$$, and time $$t$$?

Accepted Answer

$$\Delta x = v_0$ t + \frac{1}{2} a t^2$

Question 15

A ball is thrown vertically upward with an initial velocity of $$20\ \mathrm{m/s}. $$What is its velocity after $$2\ \mathrm{s}$$? (Take $$g = 9.8\ \mathrm{m/s}^2$$ downward.)

Accepted Answer

$$0.4\ \mathrm{m/s}$$

Question 16

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is the total path length; displacement is the straight-line change in position.

Question 17

A runner accelerates from rest at $$2.0\ \mathrm{m/s}^2$$ for $$5.0\ \mathrm{s}. $$What is the runner's final velocity?

Accepted Answer

$$10.0\ \mathrm{m/s}$$

Question 18

Which of the following is NOT a correct unit for acceleration?

Accepted Answer

$$\mathrm{m/s}$$

Question 19

A car starts from rest and accelerates at $$3.0\ \mathrm{m/s}^2$$ for $$4.0\ \mathrm{s}. $$What distance does it cover?

Accepted Answer

$$48\ \mathrm{m}$$

Physics Fundamentals: Units, Significant Figures, and Kinematics

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