Question 1

A plane in a certain circular holding pattern banks at an angle of $8^{\circ}$ when flying at a speed of $150 \mathrm{mi} / \mathrm{h}$. If a second plane flies in the same circle at $300 \mathrm{mi} / \mathrm{h}$, what is its banking angle?

Accepted Answer

A)   A bit less than  16∘16^{\circ}16∘ 
B)   Exactly  16∘16^{\circ}16∘ 
C)   A bit more than  16∘16^{\circ}16∘ 
D)   A bit less than  32∘32^{\circ}32∘ 
E)   Exactly  32∘32^{\circ}32∘ F)  A bit more than  32∘32^{\circ}32∘ G)  The answer depends on the planes' masses.  D

Question 2

You are driving $5 \mathrm{ft}$ or so behind a pickup truck (don't actually try such a stupid tailgating stunt, of course!). A jostled crate tips off the back of the truck with only a very small backward velocity. The crate will not hit your car until after it hits the road, regardless of your speed.

Accepted Answer

A) True 
 B)False  True

Question 3

The radius of the earth's (almost circular) orbit around the sun is $150,000,000 \mathrm{~km}$, and it takes $1 \mathrm{y}$ for the earth to go around the sun. Imagine that a certain satellite goes in an almost circular orbit of radius $15,000 \mathrm{~km}$ around the earth (this radius is 10,000 times smaller than the earth's orbital radius around the sun). What is the period of this orbit?

Accepted Answer

A)    10−6y10^{-6} \mathrm{y}10−6y 
B)    10−4y10^{-4} \mathrm{y}10−4y 
C)    10−3y10^{-3} \mathrm{y}10−3y 
D)    106y10^{6} \mathrm{y}106y 
E)   These periods are not related in any simple way.  E

Question 4

For a swinging pendulum, the maximum angle that the pendulum's string makes with the vertical corresponds to what in the pendulum solution $\phi=A \cos (\omega t+\theta)$ ?

Accepted Answer

A)    AAA 
B)    ϕ\phiϕ 
C)    θ	hetaθ 
D)   Something else (specify)

Question 5

The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
  
At the point shown, use the arrow choices shown to the right to indicate the direction of
-The moon's acceleration.

Accepted Answer

The answer of The diagram below shows a top view...

Question 6

Suppose a baseball travels $425 \mathrm{ft}(130 \mathrm{~m})$ from where the batter hits it to where it lands in the stands. The ball's velocity makes an angle of $40^{\circ}$ with respect to the horizontal as the ball leaves the bat. Suppose we first calculate the ball's initial speed ignoring drag and find it to be $\left|\vec{v}_{0}\right|$. Including drag might plausibly require a higher initial speed for the ball to travel the same horizontal distance. On the other hand, by slowing down the ball's vertical motion, including drag will increase the ball's flight time, allowing the ball the same distance with a slower horizontal velocity. So if we include drag, for the ball to fly the same horizontal distance will we need

Accepted Answer

A)   An initial speed greater than  ∣v⃗0∣\left|\vec{v}_{0}\right|∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>0​∣ .
B)   An initial speed less than  ∣v⃗0∣\left|\vec{v}_{0}\right|∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>0​∣ .
C)   An initial speed equal to  ∣v⃗0∣\left|\vec{v}_{0}\right|∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>0​∣ .
D)   More information to answer for sure.

Question 7

Figure N1.6 shows the acceleration for an object moving clockwise around the circle. If the object moves counterclockwise around the circle, its acceleration points outward instead of inward.

Accepted Answer

A) True 
 B)False

Question 8

The drawing below is supposed to be a free-body diagram of a box that sits without slipping on the back of a truck that is moving to the right but is slowing down. Is the diagram correct?

Accepted Answer

A)   Yes.
B)   No,  F⃗SF\vec{F}_{S F}F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>SF​  should point leftward.
C)   No, the  F⃗SF\vec{F}_{S F}F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>SF​  label should be  F⃗KF\vec{F}_{K F}F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>KF​ .
D)   No, there should be a leftward drag force.
E)   No,  ∣F⃗N∣\left|\vec{F}_{N}\right|c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>​F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>N​c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>​  should not be equal to  ∣F⃗g∣\left|\vec{F}_{g}\right|c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>​F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>g​c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>​ .F)  No, there is some other problem (specify) .

Question 9

A child $C$ pulls on a wagon $W$, using a string $S$; the wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces?
( $\mathrm{R}=$ road.)

Accepted Answer

A)    F⃗TS(W) \vec{F}_{T}^{S(W) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>TS(W) ​ 
B)    F⃗TW(S) \vec{F}_{T}^{\mathrm{W}(\mathrm{S}) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>TW(S) ​ 
C)    F⃗TW(
C)  \vec{F}_{T}^{\mathrm{W}(\mathrm{C}) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>TW(
C)  ​ 
D)    F⃗TC(W) \vec{F}_{T}^{\mathrm{C}(W) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>TC(W) ​ 
E)    F⃗KFW(R) \vec{F}_{K F}^{\mathrm{W}(R) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>KFW(R) ​ F)  Other (specify)

Question 10

Assume that the coefficient of static friction between your car's tires and a certain road surface is about 0.75 . Your car can climb a $45^{\circ}$ slope.

Accepted Answer

A) True 
 B)False

Question 11

Two stars, one with radius $r$ and the other with radius $3 r$, orbit each other so that their centers of mass are $25 r$ apart. Assume that the stars have the same uniform density. This system's center of mass is inside the larger star.

Accepted Answer

A) True 
 B)False

Question 12

A box $B$ sits in the back of a truck $T$ as the truck slows down for a stop (the box remains motionless relative to the truck). What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

Accepted Answer

A)    F⃗NB(T) \vec{F}_{N}^{B(T) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>NB(T) ​ 
B)    F⃗NT(
B)  \vec{F}_{N}^{\mathrm{T}(\mathrm{B}) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>NT(
B)  ​ 
C)    F⃗SFB(T) \vec{F}_{S F}^{B(T) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>SFB(T) ​ 
D)    F⃗SFT(
B)  \vec{F}_{S F}^{\mathrm{T}(
B)  }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>SFT(
B)  ​ 
E)    F⃗KFB(T) \vec{F}_{K F}^{\mathrm{B}(\mathrm{T}) }F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>KFB(T) ​ F)  Other (specify)

Question 13

A box sits at rest on an inclined plank. How do the magnitudes of the normal force and the gravitational force exerted on the box compare? (Hints: What is the box's acceleration? Draw a free-body diagram!)

Accepted Answer

A) ∣F⃗N∣<∣F⃗g∣\left|\vec{F}_{N}\right|<\left|\vec{F}_{g}\right|c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>Nc10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>gc10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/> B) ∣F⃗N∣=∣F⃗g∣\left|\vec{F}_{N}\right|=\left|\vec{F}_{g}\right|c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>Nc10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>=c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>gc10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/> C) \left|\vec{F}_{g}\right|">∣F⃗N∣>∣F⃗g∣\left|\vec{F}_{N}\right|>\left|\vec{F}_{g}\right|c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>Nc10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>>c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>gc10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/> D) ∣F⃗N∣=0\left|\vec{F}_{N}\right|=0c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>F3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>Nc10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/>=0 ! E) We do not have enough information to answer.

Question 14

A physicist and a chemist are playing tug-of-war. For a certain length of time during the game, the participants are essentially at rest. During this time, each person pulls on the rope (which can be treated as an ideal string) with a force of $350 \mathrm{~N}$. What is the tension on the rope?

Accepted Answer

A)    700 N700 \mathrm{~N}700 N 
B)    350 N350 \mathrm{~N}350 N 
C)    175 N175 \mathrm{~N}175 N 
D)   Other (specify)

Question 15

Consider an orbit where $r_{c}=1 \mathrm{AU}$ and $b=2 \mathrm{AU}$. What kind of orbit is this?

Accepted Answer

A)   Circular
B)   Elliptical
C)   Parabolic
D)   Hyperbolic

Question 16

An object's $x$-velocity can be positive at the same time that its $x$-acceleration is negative.

Accepted Answer

A) True 
 B)False

Question 17

An object can have a constant speed and still be accelerating.

Accepted Answer

A) True 
 B)False

Question 18

A glider on an air track is connected by a spring to the end of the air track. If it takes $0.30 \mathrm{~s}$ for the glider to travel the distance of $12 \mathrm{~cm}$ from one turning point to the other, its amplitude is

Accepted Answer

A)    12 cm12 \mathrm{~cm}12 cm 
B)    6 cm6 \mathrm{~cm}6 cm 
C)    24 cm24 \mathrm{~cm}24 cm 
D)    36 cm36 \mathrm{~cm}36 cm 
E)    3.6 cm3.6 \mathrm{~cm}3.6 cm F)  We are not given enough information to answer.

Question 19

An object travels halfway around a circle at a constant instantaneous speed $|\vec{v}|$. What is the magnitude $|\vec{\psi}|$ of its average velocity during this time interval?

Accepted Answer

A)    ∣v⃗∣|\vec{v}|∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>∣ 
B)    1.41∣v⃗∣1.41|\vec{v}|1.41∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>∣ 
C)    1.57∣v⃗∣1.57|\vec{v}|1.57∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>∣ 
D)    ∣v⃗∣/1.41|\vec{v}| / 1.41∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>∣/1.41 
E)    ∣v⃗∣/1.57|\vec{v}| / 1.57∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>∣/1.57 F)  Some other multiple of  ∣v⃗∣|\vec{v}|∣v3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 1110.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359c-16-25.333-24-45-24-59z"/>∣  (specify) G)  We do not have enough information to answer.

Question 20

Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of
-The gravitational force on the ball.

Accepted Answer

A)   Upward
B)   Downward
C)   Zero
D)   Other (specify)

Exam 2: The Laws of Physics Are Universal Newtonian Mechanics

A plane in a certain circular holding pattern banks at an angle of $8^{\circ}$ when flying at a speed of $150 \mathrm{mi} / \mathrm{h}$ . If a second plane flies in the same circle at $300 \mathrm{mi} / \mathrm{h}$ , what is its banking angle?

For a swinging pendulum, the maximum angle that the pendulum's string makes with the vertical corresponds to what in the pendulum solution $\phi=A \cos (\omega t+\theta)$ ?

The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed. At the point shown, use the arrow choices shown to the right to indicate the direction of -The moon's acceleration.

Figure N1.6 shows the acceleration for an object moving clockwise around the circle. If the object moves counterclockwise around the circle, its acceleration points outward instead of inward.

A child $C$ pulls on a wagon $W$ , using a string $S$ ; the wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces? ( $\mathrm{R}=$ road.)

Assume that the coefficient of static friction between your car's tires and a certain road surface is about 0.75 . Your car can climb a $45^{\circ}$ slope.

Two stars, one with radius $r$ and the other with radius $3 r$ , orbit each other so that their centers of mass are $25 r$ apart. Assume that the stars have the same uniform density. This system's center of mass is inside the larger star.

A box $B$ sits in the back of a truck $T$ as the truck slows down for a stop (the box remains motionless relative to the truck) . What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

A box sits at rest on an inclined plank. How do the magnitudes of the normal force and the gravitational force exerted on the box compare? (Hints: What is the box's acceleration? Draw a free-body diagram!)

A physicist and a chemist are playing tug-of-war. For a certain length of time during the game, the participants are essentially at rest. During this time, each person pulls on the rope (which can be treated as an ideal string) with a force of $350 \mathrm{~N}$ . What is the tension on the rope?

Consider an orbit where $r_{c}=1 \mathrm{AU}$ and $b=2 \mathrm{AU}$ . What kind of orbit is this?

An object's $x$ -velocity can be positive at the same time that its $x$ -acceleration is negative.

An object can have a constant speed and still be accelerating.

A glider on an air track is connected by a spring to the end of the air track. If it takes $0.30 \mathrm{~s}$ for the glider to travel the distance of $12 \mathrm{~cm}$ from one turning point to the other, its amplitude is

An object travels halfway around a circle at a constant instantaneous speed $|\vec{v}|$ . What is the magnitude $|\vec{\psi}|$ of its average velocity during this time interval?

Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of -The gravitational force on the ball.

Exam 2: The Laws of Physics Are Universal Newtonian Mechanics

A plane in a certain circular holding pattern banks at an angle of 8∘8^{\circ}8∘ when flying at a speed of 150mi/h150 \mathrm{mi} / \mathrm{h}150mi/h . If a second plane flies in the same circle at 300mi/h300 \mathrm{mi} / \mathrm{h}300mi/h , what is its banking angle?

For a swinging pendulum, the maximum angle that the pendulum's string makes with the vertical corresponds to what in the pendulum solution ϕ=Acos⁡(ωt+θ) \phi=A \cos (\omega t+\theta) ϕ=Acos(ωt+θ) ?

The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed. At the point shown, use the arrow choices shown to the right to indicate the direction of -The moon's acceleration.

Figure N1.6 shows the acceleration for an object moving clockwise around the circle. If the object moves counterclockwise around the circle, its acceleration points outward instead of inward.

The drawing below is supposed to be a free-body diagram of a box that sits without slipping on the back of a truck that is moving to the right but is slowing down. Is the diagram correct?

A child CCC pulls on a wagon WWW , using a string SSS ; the wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces? ( R=\mathrm{R}=R= road.)

Assume that the coefficient of static friction between your car's tires and a certain road surface is about 0.75 . Your car can climb a 45∘45^{\circ}45∘ slope.

Two stars, one with radius rrr and the other with radius 3r3 r3r , orbit each other so that their centers of mass are 25r25 r25r apart. Assume that the stars have the same uniform density. This system's center of mass is inside the larger star.

A box BBB sits in the back of a truck TTT as the truck slows down for a stop (the box remains motionless relative to the truck) . What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

A box sits at rest on an inclined plank. How do the magnitudes of the normal force and the gravitational force exerted on the box compare? (Hints: What is the box's acceleration? Draw a free-body diagram!)

Consider an orbit where rc=1AUr_{c}=1 \mathrm{AU}rc​=1AU and b=2AUb=2 \mathrm{AU}b=2AU . What kind of orbit is this?

An object's xxx -velocity can be positive at the same time that its xxx -acceleration is negative.

An object can have a constant speed and still be accelerating.

A glider on an air track is connected by a spring to the end of the air track. If it takes 0.30 s0.30 \mathrm{~s}0.30 s for the glider to travel the distance of 12 cm12 \mathrm{~cm}12 cm from one turning point to the other, its amplitude is

An object travels halfway around a circle at a constant instantaneous speed ∣v⃗∣|\vec{v}|∣v∣ . What is the magnitude ∣ψ⃗∣|\vec{\psi}|∣ψ​∣ of its average velocity during this time interval?

Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of -The gravitational force on the ball.

A plane in a certain circular holding pattern banks at an angle of $8^{\circ}$ when flying at a speed of $150 \mathrm{mi} / \mathrm{h}$ . If a second plane flies in the same circle at $300 \mathrm{mi} / \mathrm{h}$ , what is its banking angle?

For a swinging pendulum, the maximum angle that the pendulum's string makes with the vertical corresponds to what in the pendulum solution $\phi=A \cos (\omega t+\theta)$ ?

A child $C$ pulls on a wagon $W$ , using a string $S$ ; the wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces? ( $\mathrm{R}=$ road.)

Assume that the coefficient of static friction between your car's tires and a certain road surface is about 0.75 . Your car can climb a $45^{\circ}$ slope.

Two stars, one with radius $r$ and the other with radius $3 r$ , orbit each other so that their centers of mass are $25 r$ apart. Assume that the stars have the same uniform density. This system's center of mass is inside the larger star.

A box $B$ sits in the back of a truck $T$ as the truck slows down for a stop (the box remains motionless relative to the truck) . What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

Consider an orbit where $r_{c}=1 \mathrm{AU}$ and $b=2 \mathrm{AU}$ . What kind of orbit is this?

An object's $x$ -velocity can be positive at the same time that its $x$ -acceleration is negative.

A glider on an air track is connected by a spring to the end of the air track. If it takes $0.30 \mathrm{~s}$ for the glider to travel the distance of $12 \mathrm{~cm}$ from one turning point to the other, its amplitude is

An object travels halfway around a circle at a constant instantaneous speed $|\vec{v}|$ . What is the magnitude $|\vec{\psi}|$ of its average velocity during this time interval?