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$\ \mathrm{N}$

Q: 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?

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

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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