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Physics SAT Subject Test

Robert Jansen, Greg Young

Chapter 9

Gravity - all with Video Answers

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Chapter Questions

07:29

Problem 1

A planet with twice the mass of Earth and a radius three times that of Earth would have a surface gravity of
(A) $g$
(B) $\frac{2}{9} g$
(C) $\frac{2}{3} g$
(D) $\frac{3}{2} g$
(E) $\frac{9}{2} g$

Vishal Sharma
Vishal Sharma
Numerade Educator
02:08

Problem 2

A satellite of mass $m$ orbits Earth at a height of $h$ and a speed of $v$ . What would the speed be for a satellite of mass 5$m$ at a height $h ?$
(A) $v$
(B) $\sqrt{5} v$
(C) 5$v$
(E) 25$v$
(E) $\frac{1}{5} v$

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
01:04

Problem 3

A satellite orbits Earth at height $h$ with a period of $T$ . If the satellite were to
increase its orbital height to $2 h,$ what would be its resulting period?
(A) $\frac{1}{2} T$
(B) $\sqrt{2} T$
(C) 2$T$
(D) $\sqrt{8} T$
(E) 8$T$

Alexander Cheng
Alexander Cheng
Numerade Educator
01:26

Problem 4

A satellite of mass $m$ orbits Earth at a height of $h$ and a speed of $v .$ If the satellite were to drop down to an orbit of $\frac{1}{2} h,$ what would be its resulting speed?
(A) $\frac{1}{2} v$
(B) $\frac{1}{\sqrt{2}} v$
(C) $\sqrt{2} v$
(D) 2$v$
(E) 4$v$

Breanna Ollech
Breanna Ollech
Numerade Educator
01:40

Problem 5

A satellite orbits Earth at a height of 2$r_{\text { Earth }} .$ What is the acceleration due to gravity on this satellite toward Earth in terms of Earth's surface gravity, $g ?$
(A) $\frac{1}{8} g$
(B) $\frac{1}{4} g$
(C) $\frac{1}{2} g$
(D) $g$
(E) 2$g$

Sheh Lit Chang
Sheh Lit Chang
University of Washington
02:37

Problem 6

The gravitational force of attraction between two masses is 16 newtons. If the distance between the masses is quadrupled, what is the resulting force of attraction?
(A) 1 $\mathrm{N}$
(B) 2 $\mathrm{N}$
(C) 4 $\mathrm{N}$
(D) 8 $\mathrm{N}$
(E) 16 $\mathrm{N}$

Bret Rosen
Bret Rosen
Numerade Educator
00:47

Problem 7

Which of Kepler's laws states that planets orbit the Sun in an ellipse?
(A) 1 st law only
(B) 2 nd law only
(C) 3 law only
(D) 1 tlaw and 2nd law
(E) 1 st law and 3rd law

David González Cornejo
David González Cornejo
Numerade Educator
01:40

Problem 8

Which of the planets below would have the same free-fall acceleration on their surfaces?
$$\begin{array}{ccc}{} & {\text { Mass }} & {\text { Radius }} \\ \hline \text { I. } & {M} & {2 R} \\ {\text { II. }} & {8 M} & {2 R} \\ {\text { III. }} & {2 M} & {R} \\ {\text { IV. }} & {M} & {R}\end{array}$$
(A) I and II
(B) II and III
(C) III and IV
(D) II and IV
(E) I and III

Ajay Singhal
Ajay Singhal
Numerade Educator
00:39

Problem 9

According to Kepler's second law, what quantity is swept out in an equal interval of time during a planet's orbit about the Sun?
(A) Length
(B) Volume
(C) Distance
(D) Area
(E) Displacement

David González Cornejo
David González Cornejo
Numerade Educator
01:54

Problem 10

A newly discovered planet $X$ , has twice the mass of Earth. Planet $X$ is orbited by a moon, which has twice the mass of Earth's moon. The orbital radius of the moon orbiting Planet $X$ is the same as the orbital radius of Earth's moon. How does the orbital speed of the moon orbiting Planet $X$ compare to the orbital speed of Earth's moon?
(A) It orbits at the same speed as Earth's moon.
(B) It orbits at $\frac{1}{2}$ the speed of Earth's moon.
(C) It orbits at 2 times the speed of Earth's moon.
(D) It orbits at $\sqrt{2}$ the speed of Earth's moon.
(E) It orbits at $\frac{\sqrt{2}}{2}$ the speed of Earth's moon.

Alexander Cheng
Alexander Cheng
Numerade Educator