Question 1

Which of the following is the correct dimensional formula for velocity?

Accepted Answer

$$[L][T]^{-1}$$

Question 2

A swimmer swims 50.0 m across a pool in 24.0 s, then swims back at twice the time. What is her average velocity for the entire trip?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 3

Which of the following is NOT a valid way to represent motion in physics?

Accepted Answer

Dimensional analysis

Question 4

Given the vector $$\vec{A} = 12.0\ \mathrm{cm} at$$ $$37.0^\circ$$ above the x-axis, what is its component along the y-axis?

Accepted Answer

$$7.23\ \mathrm{cm}$$

Question 5

Which of the following equations correctly gives the volume of a cylinder with radius $$r$$ and height $$h$$?

Accepted Answer

$$V = \pi r^2$ h$$

Question 6

If a vector $$\vec{B}$$ has components $$B_x = -8.0\ \mathrm{cm}$$ and $$B_y = 15.0\ \mathrm{cm}$$, what is its magnitude?

Accepted Answer

$$17.0\ \mathrm{cm}$$

Question 7

Which of the following is the correct way to express $$\pi to $$three significant figures?

Accepted Answer

$$3.142$$

Question 8

A ball is tossed straight up. At the highest point, which of the following is true?

Accepted Answer

Velocity is zero, acceleration is downward

Question 9

Which of the following is a correct statement about significant figures?

Accepted Answer

All nonzero digits are significant

Question 10

A displacement vector $$\vec{D}$$ has $$x-$$component $$20\ \mathrm{m}$$ and $$y-$$component $$10\ \mathrm{m}. $$What is the angle it makes with the $$x-$$axis?

Accepted Answer

$$26.6^\circ$$

Question 11

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

Accepted Answer

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

Question 12

A rocket is descending and slowing down to land on Mars. Which motion diagram best describes its motion?

Accepted Answer

Dots getting closer together as time passes

Question 13

If $$\vec{A} = 3\hat{i} + 4\hat{j}$$ and $$\vec{B} = -2\hat{i} + 5\hat{j}$$, what is $$\vec{A} + \vec{B}$$?

Accepted Answer

$$1\hat{i} + 9\hat{j}$$

Question 14

Which of the following is the correct dimensional formula for force?

Accepted Answer

$$[M][L][T]^{-2}$$

Question 15

A unit vector in the direction of $$\vec{A} = 6\hat{i} + 8\hat{j} is$$:

Accepted Answer

$$0.6\hat{i} + 0.8\hat{j}$$

Question 16

Which of the following is a correct statement about the cosine of 3 meters?

Accepted Answer

It is not possible to compute because cosine requires a dimensionless argument.

Question 17

A car travels 100 m east, then 50 m north. What is the magnitude of its displacement?

Accepted Answer

$$111.8\ \mathrm{m}$$

Question 18

Which of the following is the correct order of magnitude for the mass of a car?

Accepted Answer

$$10^3$$\ \mathrm{kg}$$

Question 19

If a human heart pumps $$50\ \mathrm{cm}^3 of $$blood per beat and beats $$36.5\$$times10^6$$ times per year, how much blood does it pump in a year?

Accepted Answer

$$1.83\$$times10^6$$\ \mathrm{L}$$

Question 20

Which of the following is the correct way to subtract two vectors $$\vec{A}$$ and $$\vec{B}$$?

Accepted Answer

$$\vec{A} - \vec{B} = (A_x - B_x)\hat{i} + (A_y - B_y)\hat{j}$$

Physics Study Notes: Measurement, Vectors, and Motion Diagrams

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