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Study Guide 39<br />

7. The Sun has much more mass than Earth (about<br />

330,000 times as much). Why aren’t we pulled<br />

toward <strong>the</strong> Sun with 330,000 times as much force<br />

as we are toward Earth<br />

8. Compare <strong>the</strong> weight <strong>and</strong> mass of a baseball in four<br />

locations:<br />

a. On Earth’s surface<br />

b. In orbit around Earth at an altitude of about 100<br />

miles.<br />

c. On <strong>the</strong> Moon’s surface<br />

d. Outside <strong>the</strong> solar system far from any planet.<br />

9. Compare <strong>the</strong> definitions of weight <strong>and</strong> mass. Why<br />

does <strong>the</strong> weight of an object change from place<br />

to place while <strong>the</strong> mass does not<br />

10. A cannonball, originally at rest, <strong>and</strong> a marble, originally<br />

at rest, are dropped in a vacuum from <strong>the</strong><br />

same height at <strong>the</strong> same time.<br />

a. What happens when <strong>the</strong>y are dropped<br />

Compare <strong>the</strong> speed <strong>and</strong> acceleration of <strong>the</strong><br />

cannonball with that of <strong>the</strong> marble.<br />

b. Is <strong>the</strong> gravitational force of attraction larger on<br />

<strong>the</strong> cannonball than it is on <strong>the</strong> marble Justify<br />

your answer using a fundamental law.<br />

c. Does <strong>the</strong> cannonball require a larger force to provide<br />

<strong>the</strong> same acceleration as <strong>the</strong> marble Justify<br />

your answer using <strong>the</strong> Second Law of Motion.<br />

d. Explain how <strong>the</strong> cannonball with greater mass <strong>and</strong><br />

a greater force of gravity still has <strong>the</strong> same motion<br />

as a marble with a lower mass <strong>and</strong> lower force of<br />

gravity being dropped from <strong>the</strong> same height.<br />

11. How many forces are acting on <strong>the</strong> Moon What<br />

force keeps <strong>the</strong> moon moving around Earth<br />

Syn<strong>the</strong>sis<br />

1. A penny <strong>and</strong> a fea<strong>the</strong>r fall toward Earth in a vacuum<br />

tube. They begin falling at <strong>the</strong> same time.<br />

a. Describe what would be observed.<br />

b. Which of Newton’s laws apply to this scenario<br />

c. Use <strong>the</strong> laws of motion that you listed in (b) to<br />

explain what would occur.<br />

2. A ride at an amusement park straps you into a seat<br />

<strong>and</strong> raises you 400 feet above <strong>the</strong> ground. Once<br />

you reach <strong>the</strong> top, you are dropped. Near <strong>the</strong> bottom,<br />

a spring slows your descent.<br />

a. What forces act on you during <strong>the</strong> ride When is<br />

each force acting on you<br />

b. What laws of motion would be relevant as you<br />

travel from <strong>the</strong> top to <strong>the</strong> bottom of <strong>the</strong> ride<br />

c. What is <strong>the</strong> rate of your acceleration when you<br />

are in <strong>the</strong> middle of falling What law tells you<br />

<strong>the</strong> rate of acceleration<br />

d. In <strong>the</strong> middle of falling, you feel weightless.<br />

Explain why.<br />

e. What is <strong>the</strong> direction of <strong>the</strong> net force at <strong>the</strong><br />

bottom<br />

3. Two identical encyclopedias are dropped. Encyclo -<br />

pedia A is dropped from five feet off <strong>the</strong> ground<br />

<strong>and</strong> Encyclopedia B is dropped from ten feet off<br />

<strong>the</strong> ground. Encyclopedia B is dropped first. When<br />

Encyclopedia B reaches exactly five feet above<br />

<strong>the</strong> ground, Encyclopedia A is dropped.<br />

a. Which encyclopedia has <strong>the</strong> greater force <strong>and</strong><br />

thus <strong>the</strong> greater acceleration acting on it<br />

b. Which encyclopedia hits <strong>the</strong> ground first<br />

c. Which encyclopedia is travelling faster when it<br />

hits<br />

d. Both Encyclopedia A’s <strong>and</strong> B’s covers hit <strong>the</strong><br />

ground face down. Does Encyclopedia A or<br />

Encyclopedia B exert <strong>the</strong> greater force on <strong>the</strong><br />

ground<br />

4. You take your 20-lb bowling ball on a trip with you<br />

to <strong>the</strong> distant planet Sophia. The planet Sophia has<br />

double <strong>the</strong> mass <strong>and</strong> half <strong>the</strong> diameter of Earth.<br />

Answer <strong>the</strong> following questions about <strong>the</strong> bowling<br />

ball.<br />

a. What is <strong>the</strong> ball’s mass on Sophia<br />

b. Relative to Earth, what is <strong>the</strong> bowling ball’s weight<br />

c. Using <strong>the</strong> Law of Universal Gravitation, explain<br />

how your answers in (a) <strong>and</strong> (b) are consistent<br />

with one ano<strong>the</strong>r.<br />

d. If dropped on <strong>the</strong> planet Sophia, how does <strong>the</strong><br />

bowling ball’s acceleration compare to its acceleration<br />

on Earth<br />

e. You <strong>and</strong> your bowling buddies decide to race<br />

your bowling balls by dropping <strong>the</strong>m from <strong>the</strong><br />

same height somewhere on Sophia. Your friend’s<br />

ball weighs 25 lbs on Earth, a mere fraction of<br />

what your ball weighs on Sophia. Which ball hits<br />

first<br />

f. Which principle of symmetry from Chapter 1<br />

applies to this question<br />

5. Newton’s second law says F = ma. But <strong>the</strong> law of<br />

gravity says F = GMm/d 2 . Explain why you need<br />

both laws. Which aspect of a falling rock’s motion<br />

is described by F = ma <strong>and</strong> which aspect is<br />

described by F = GMm/d 2

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