Free Printable Universal Gravitation Law

1.

Every two objects with mass have a(n) ___ force attracting them together.

a)

gravitation

b)

electrical

c)

spring

d)

friction

2.

According to Newton's 3rd Motion Law, the force of the earth on the apple ___ the force of the apple on the earth.

a)

>

b)

<

c)

=

d)

≥

3.

The Universal Gravitation Law is true ___.

a)

everywhere

b)

only on earth

c)

only in our solar system

d)

only in the Milky Way Galaxy

4.

The Universal Law of Gravitation says the gravity attractive force between any two masses (m₁ and m₂) separated by a distance r (center to center) is ___.

a)

Gm₁m₂/r²

b)

km₁/r

c)

(m₁ + m₂)r

d)

(m₁ + m₂)/r

5.

In Newton's Universal Law of Gravitation (F_g = Gm₁m₂/r²), the Universal Gravitation Constant G = ___.

a)

~6.67 × 10^-11 N•m²/kg²

b)

~9.81 m/s²

c)

~3.141593

d)

~2.718281828

6.

Cavendish measured the Universal Gravitation Constant G with two masses turning from a hanging wire toward two other masses. Then by using the Universal Law of Gravitation, he could calculate ___.

a)

the earth's mass

b)

the first two masses

c)

the second two masses

d)

his mass

7.

The average distance between the earth and the sun, center to center, is ___ .

a)

1 astronomical unit (AU)

b)

80 million miles

c)

100 million km

d)

5 light-minutes

8.

We would not be here if our solar system's planets did not have very circular orbits, but technically, they have ___ shaped orbits.

a)

ellipse

b)

square

c)

triangle

d)

helical

9.

An object's orbital period is how long it takes to orbit once around another object. What is the orbital period of the earth around the sun?

a)

1 year

b)

1 month

c)

1 decade

d)

1 day

10.

If you move from far out in space to one-fourth of your distance from earth's center, then your weight will ___.

a)

increase

b)

decrease

c)

stay the same

d)

disappear

11.

Earth's rotation causes it to bulge slightly at the equator where its radius is 6,378 km. If you weigh 100 pounds on the equator, but then move vertically up to 63,780 km away from earth's center, then your weight becomes ___ pounds.

a)

1

b)

10

c)

1,000

d)

0.1

12.

You weigh 27 pounds when you are 21,000 km from earth's center, but then move to 7,000 km (one-third the distance). Your new weight = ___ pound(s).

a)

3

b)

9

c)

81

d)

243

13.

$\sqrt{r}=$ ___.

a)

$r^{\frac{1}{2}}=r^{0.5}$

b)

$\frac{r}{2}$

c)

$2r$

d)

$r^2$

14.

$\sqrt{r^3}$ = ___.

a)

$r^{\frac{3}{2}}=r^{1.5}$

b)

$r^{\frac{3}{4}}=r^{0.75}$

c)

$r^6$

d)

$r^{3.5}$

15.

The orbital period T of an object around the Sun is $T=2\pi\sqrt{\frac{r^3}{Gm_s}}$ , where r is the center to center average distance, G is the Universal Gravitation Constant, and $m_s$ is ___.

a)

the Sun's mass

b)

Saturn's mass

c)

space's mass

d)

the object's mass

16.

From $T=2\pi\sqrt{\frac{r^3}{Gm_s}}$ , we get $\frac{T}{\sqrt{r^3}}=\frac{2\pi}{\sqrt{Gm_s}}$ , which is a ___ the same for all objects orbiting the sun.

a)

constant

b)

variable

c)

changeable

d)

mutable

17.

Orbital Algebra: $T_a$ and $T_e$ are the orbital periods of an asteroid and the earth around the sun, respectively. $r_a$ and $r_e$ are the orbital radii of an asteroid and the earth around the sun, respectively. Which equation is true?

a)

$T_a=T_e\left(\frac{r_a}{r_e}\right)^{1.5}$

b)

$T_a=T_e\left(\frac{r_a}{r_e}\right)^2$

c)

$T_a=T_e\left(\frac{r_a}{r_e}\right)^3$

d)

$T_a=T_e\left(\frac{r_a}{r_e}\right)^{0.5}=T_e\sqrt{\frac{r_a}{r_e}}$

18.

If an asteroid has an orbital period around the sun 16 times earth's, then the asteroid's orbital period = ___.

a)

64 years

b)

16 years

c)

2048 years

d)

256 years

Universal Gravitation Law

Total questions: 18

Worksheet time: 36mins

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