PHYSICS Tutorial Sheet 1

1. The distance from planet Earth to the Sun is [tex]$1.5 \times 10^8$[/tex] km. Find the distance in:

i) Megameters (Mm)

ii) Terameters (Tm)



Answer :

Alright, let's solve the given problem step-by-step.

The given distance from Earth to the Sun is [tex]\( 1.5 \times 10^8 \)[/tex] kilometers.

1. Convert the distance to Megameters (Mm):

- We know that 1 Megameter (Mm) is equal to [tex]\( 10^6 \)[/tex] kilometers.
- To convert kilometers to Megameters, we divide the distance in kilometers by [tex]\( 10^6 \)[/tex]:
[tex]\[ \text{Distance in Megameters} = \frac{1.5 \times 10^8 \, \text{km}}{10^6 \, \text{km/Mm}} \][/tex]
- Simplifying the division:
[tex]\[ \text{Distance in Megameters} = 150 \, \text{Mm} \][/tex]

2. Convert the distance to Terameters (Tm):

- We know that 1 Terameter (Tm) is equal to [tex]\( 10^12 \)[/tex] kilometers.
- To convert kilometers to Terameters, we divide the distance in kilometers by [tex]\( 10^12 \)[/tex]:
[tex]\[ \text{Distance in Terameters} = \frac{1.5 \times 10^8 \, \text{km}}{10^12 \, \text{km/Tm}} \][/tex]
- Simplifying the division:
[tex]\[ \text{Distance in Terameters} = 0.00015 \, \text{Tm} \][/tex]

Summary:
- The distance from Earth to the Sun in Megameters is [tex]\( 150 \)[/tex] Mm.
- The distance from Earth to the Sun in Terameters is [tex]\( 0.00015 \)[/tex] Tm.