Q: A weightlifter 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 per second ($$\mu\mathrm{g}/\mathrm{s}) $$are lost?

$$2.6 \times 10^6$\ \mu\mathrm{g}/\mathrm{s}$$

Question 1

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

Accepted Answer

$$0.0012$$

Question 2

How many significant figures does the number $$0.003010$$ have?

Accepted Answer

5 significant figures

Question 3

A rectangle has sides $$1.125\ \mathrm{m}$$ and $$0.606\ \mathrm{m}. $$What is the area, rounded to the correct number of significant figures?

Accepted Answer

$$0.682\ \mathrm{m}^2$$

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

$$2.6 	imes 10^6$\ \mu\mathrm{g}/\mathrm{s}$$

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

The object's instantaneous velocity at that point.

Question 8

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

Accepted Answer

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

Question 9

Basic kinematics variables using calculus: The acceleration of an object as a function of time is given by $$a(t) = (3.00\ \mathrm{m/s}^3)t$$, where t is in seconds. If the object is at rest at time $$t = 0.00\ \mathrm{s}$$, what is its velocity at $$t = 2.00\ \mathrm{s}$$?

Accepted Answer

$$6.00\ \mathrm{m/s}$$

Question 10

The position of an object as a function of time is given by $$x = bt^2$ - ct$$, where $$b = 2.0\ \mathrm{m/s}^2$$ and $$c = 6.7\ \mathrm{m/s}$$, and $$t is in SI $$units. What is the instantaneous velocity of the object when $$t = 2.2\ \mathrm{s}$$?

Accepted Answer

$$2.1\ \mathrm{m/s}$$

Question 11

A ball is thrown directly upward and experiences no air resistance. Which one of the following statements about its motion is correct?

Accepted Answer

The acceleration is downward during the entire time the ball is in the air.

Question 12

Which of the following is the correct SI unit for acceleration?

Accepted Answer

$$\mathrm{m/s}^2$$

Question 13

If the fastest you can safely drive is $$65\ \mathrm{mi/h}$$, what is the longest time you can stop for dinner if you must travel $$541\ \mathrm{mi} in$$ $$9.6\ \mathrm{h}$$ total?

Accepted Answer

$$1.0\ \mathrm{h}$$

Question 14

Which of the following is an accurate statement?

Accepted Answer

The magnitude of a vector can be zero only if all its components are zero.

Question 15

Given vector $$\vec{A} = 1.00\hat{i} + 2.00\hat{j}$$ and vector $$\vec{B} = 3.00\hat{i} + 4.00\hat{j}$$, what is the magnitude of $$\vec{A} + \vec{B}$$?

Accepted Answer

$$\sqrt{(1.00+3.00)^2$ + (2.00+4.00)^2$} = \sqrt{16 + 36} = \sqrt{52} \approx 7.21$$

Question 16

Which of the following best describes the meaning of a negative velocity?

Accepted Answer

The object is moving in the direction opposite to the chosen positive direction.

Question 17

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

Accepted Answer

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

Question 18

Which of the following statements about significant figures is correct?

Accepted Answer

All nonzero digits are significant.

Physics Fundamentals: Units, Significant Figures, Kinematics, and Vectors (Exam Review)

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