Q: A proton starts from rest and accelerates at $5.0 \times 10^{15}$ m/s$^2$ for a time of $2.0 \mu$s ($2.0 \times 10^{-6}$ s). What is its final velocity?

$1.0 \times 10^{10}$\ \mathrm{m/s}$

Q: A rocket has a mass of $4.55 \times 10^3$ kg. What force is necessary to give it an acceleration of $8.1$ m/s$^2$?

$3.69 \times 10^4$\ \mathrm{N}$

Question 1

One liter (1 L) is a volume of $10^3$ cm$^3$. How many cubic centimeters are in 5 milliliters?

Accepted Answer

$5$\ \mathrm{cm}^3$

Question 2

Express 70 miles/hour in units of km/hour. (1 mile = 1.609 km)

Accepted Answer

$113$\ \mathrm{km/h}$

Question 3

What is the area in square centimeters of an 8.5'' x 11'' piece of paper? (1 inch = 2.54 cm)

Accepted Answer

$603$\ \mathrm{cm}^2$

Question 4

What is the volume of a right circular cylinder with a radius of $4.17$ cm and a length of $12$ cm?

Accepted Answer

$656$\ \mathrm{cm}^3$

Question 5

The speed limit on many highways is $65$ mph. What is this speed limit written in feet per second? (1 mile = 5280 ft, 1 hour = 3600 s)

Accepted Answer

$95$\ \mathrm{ft/s}$

Question 6

Vectors may be added graphically by placing them

Accepted Answer

tail to head

Question 7

Find the components of the vector $A=5.0$ m, $	heta=30^\circ$.

Accepted Answer

$4.3$ m, $2.5$ m

Question 8

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 9

A proton starts from rest and accelerates at $5.0 	imes 10^{15}$ m/s$^2$ for a time of $2.0 \mu$s ($2.0 	imes 10^{-6}$ s). What is its final velocity?

Accepted Answer

$1.0 	imes 10^{10}$\ \mathrm{m/s}$

Question 10

The slope of the velocity versus time curve for a body is that body's ________.

Accepted Answer

Acceleration

Question 11

A boat capable of traveling $10.0$ km/hr in still water is crossing a river that is flowing at $5.0$ km/hr. The river is $0.80$ km wide at this point. The boat captain wishes to land at a point $0.90$ km upstream. Assuming the captain steers on a shortest distance path, how long does the trip take?

Accepted Answer

$0.23$\ \mathrm{h}$

Question 12

An observer determines that a line from her eyes to the top of a tree makes an angle of $24^\circ$ above the horizontal. She then measures the horizontal distance to the tree and finds it to be $62$ m. If her eyes are $1.5$ m above the ground, what is the height of the tree?

Accepted Answer

$29.6$\ \mathrm{m}$

Question 13

A soccer ball is kicked at $20$ m/s at an angle of $40^\circ$ above the horizontal. What is the time the ball is in the air? (Assume $g=9.8$ m/s$^2$)

Accepted Answer

$2.6$\ \mathrm{s}$

Question 14

A box with a mass of $100$ kg is being pulled with a force of $500$ N at an angle of $30^\circ$. What is the acceleration of the system? (Assume the surface is frictionless.)

Accepted Answer

$3.4$\ \mathrm{m/s}^2$

Question 15

A rocket has a mass of $4.55 	imes 10^3$ kg. What force is necessary to give it an acceleration of $8.1$ m/s$^2$?

Accepted Answer

$3.69 	imes 10^4$\ \mathrm{N}$

Question 16

What is the minimum force required to push an $80$ kg cart up an incline of $25^\circ$ if the coefficient of friction between the incline and the box is $0.70$ and the force is applied upward and at an angle of $20^\circ$ with respect to the horizontal?

Accepted Answer

$7.9 	imes 10^2$\ \mathrm{N}$

Physics Fundamentals: Units, Vectors, Kinematics, and Newton's Laws – Practice and Concepts

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