HW1-4: If the Sun were a golf ballbrookshedstrom_mark/.../avmdnonkabcpHW1-4.pdfHW1-4: If the Sun were a golf ball . 2. !Now imagine a golf ball sitting on your kitchen table at home.!

HW1-4: If the Sun were a golf ball

1. !If the sun (1.4 × 109 m) were the size of a golf ball (4.3 × 10–2 m), then find the size of these objects:!

(a)!Diameter of the Earth !4.0 × 10–4 m = .4 mm!(b)!Diameter of Jupiter !4.3 × 10–3 m = 4.3 mm!(c)!Diameter of the Moon’s orbit around the Earth !2.4 × 10–2 m = 2.4 cm!(d)!Radius of the Earth’s orbit !4.6 m!(e)!Radius of Jupiter’s orbit !24 m!(f) !Radius of Pluto’s orbit !180 m!(g)!Sun to the nearest star !1.2 × 106 m #

! != 1200 km = 760 miles!(h)!Sun to the center of the Galaxy !8.0 × 109 m#

! ! = 5 million miles#! ! = .05 AU!

1. !If the sun (1.4 × 109 m) were the size of a golf ball #(4.3 × 10–2 m), then find the size of these objects:!

(a) !Diameter of the Earth (1.3 × 107 m)!

golf ball

Sun= ?

Earth→ 4.3×10−2

1.4 ×109 = ?1.3×107

4.3×10−2

1.4 ×109 ⋅1.3×107 = ? = 4.0×10−4m=0.4mm



(b) !Diameter of Jupiter (1.4 × 108 m)!

golf ballSun

= ?Jupiter

→ 4.3×10−2

1.4 ×109 = ?1.4 ×108

4.3×10−2

1.4 ×109 ⋅1.4 ×108 = ? = 4.3×10−3m=4.3mm



(c) !Diameter of the Moon’s orbit around the Earth (7.7 × 108 m)!

golf ball

Sun= ?

Moon's Orbit→ 4.3×10−2

1.4 ×109 = ?7.7 ×108

4.3×10−2

1.4 ×109 ⋅7.7 ×107 = ? = 2.4 ×10−2m=2.4cm



(d) !Radius of the Earth’s orbit (1.5 × 1011 m)!

golf ball

Sun= ?

Earth's orbit→ 4.3×10−2

1.4 ×109 = ?1.5×1011

4.3×10−2

1.4 ×109 ⋅1.5×1011 = ? = 4.6m



(e) !Radius of Jupiter’s orbit (7.8 × 1011 m)!

golf ballSun

= ?Jupiter's orbit

→ 4.3×10−2

1.4 ×109 = ?7.8×1011

4.3×10−2

1.4 ×109 ⋅7.8×1011 = ? = 24m



(f) !Radius of Pluto’s orbit (5.9 × 1012 m)!

golf ball

Sun= ?

Pluto's orbit→ 4.3×10−2

1.4 ×109 = ?5.9×1012

4.3×10−2

1.4 ×109 ⋅5.9×1012 = ? = 180m



(g) !Sun to the nearest star (4.0 × 1016 m)!

golf ball

Sun= ?

distance to nearest star→ 4.3×10−2

1.4 ×109 = ?4.0×1016

4.3×10−2

1.4 ×109 ⋅4.0×1016 = ? = 1.2×106m=1200km=760miles



(h)  Sun to the center of the Galaxy (2.6 × 1020 m)!!!!!!!!!

= 5 million miles = 0.05 AU!

golf ballSun

= ?Sun to center of Galaxy

→ 4.3×10−2

1.4 ×109 = ?2.6×1020

4.3×10−2

1.4 ×109 ⋅2.6×1020 = ? = 8.0×109m


2. !Now imagine a golf ball sitting on your kitchen table at home.!

(a) !Think of other objects that you might have at home that would be about the sizes you found in 1a, 1b, and 1c. On the back side are some sizes of random things as references.!

Earth = .4 mm = !!large grain of sand!

Jupiter = 4.3 mm = !!the size of this letter “o” (?)!

Moon’s orbit = 2.4 cm = !!nickel (?)!

!


2. !Now imagine a golf ball sitting on your kitchen table at home.!

(b) !Using your answers for 1d, 1e and 1f, indicate where Earth, Jupiter and Pluto might be. Use your kitchen at home as the context. (For instance, would the earth be sitting at the other end of the table? Would it be outside your house at the end of the block? etc.)!

Earth’s orbit = 4.6 m = !!dining room table!

Jupiter’s orbit = 24 m = !!back of back yard!

Pluto’s orbit = 180 m = !!end of the block!


2.  Now imagine a golf ball sitting on your kitchen table at home.!

(c) !Use a map and find a city that is a distance given by 1g from Dayton.!

1.2 × 106 m = 1200 km =760 miles!


Wichita

Omaha

Minneapolis

Boston

Tulsa

New Orleans

PensacolaJacksonville

2.  Now imagine a golf ball sitting on your kitchen table at home.!

(d) !Find a comparison for 1h. Is this half-way to the moon? etc.!

!8.0 × 109 m = 5 million miles = .05 AU!!20 times as far as the moon, but 1/20th the distance to the sun.!


Documents

HW1-4: If the Sun were a golf ballbrookshedstrom_mark/.../avmdnonkabcpHW1-4.pdfHW1-4: If the Sun were a golf ball . 2. !Now imagine a golf ball sitting on your kitchen table at home.!