# Question: please show your work as i am genuinely trying to...

###### Question details

PLEASE SHOW YOUR WORK AS I AM GENUINELY TRYING TO LEARN! IF IT'S THE SAME STEPS, JUST SHOW WORK ON A FEW OF EACH SO I CAN SEE HOW TO DO IT AND LEARN. THANK YOU!!!

Scale models:

Making scale models can make really large objects and distances more tangible to our understanding. It is difficult to envision a distance of a mile or more, and even more so for really large distances and sizes such as the size of a planet and its distance from the Sun. We would like to make a model of the solar system and place it on a university campus with the sun farthest east and the planets aligned to the west. We will use a campus size of 4 km2 (2 km North-South by 2 km East-West).

Notes from instructions:

We want our scale Sun to have an equatorial diameter of 2
m.

The size of our scale Mercury is 0.0070 m.

We know the dimensions of three objects. So we can set up a problem to solve for the fourth object dimension (scale planet diameter is our X (unknown)). In this case, we are solving for the scale planet diameter.

Scale planet diameter (m)/ scale sun diameter (m) = actual planet radius (km)/actual sun radius (km)

Complete the calculations for the other planets in the same manner, then convert the scale sizes to cm and mm. There are 100 cm in 1 meter, and 10 mm in 1 cm.

The distance of Mercury from the Sun in our scale model is 83.2 m.

We know the planet's equatorial RADIUS and distance from the Sun, and we now know the DIAMETER of each planet in our scale model. In this case, we are solving for the scale planet distance from the Sun. Note that you must multiply the planet's RADIUS by 2 (diameter). | |||||||

PART 1 (10
points) |
PART 2 (4 points) |
||||||

Equatorial Radius | Scale Equatorial Diameter | Scale Equatorial Diameter | Scale Equatorial Diameter | Distance from Sun | Scale Distance from Sun | ||

(km) | (m) | (cm) | (mm) | (km) | (m) | ||

2 pts | 4 pts | 2 pts | 2 pts | ||||

Sun | 695508 | 2 | |||||

Mercury | 2440 | 5.79E+07 | |||||

Venus | 1.08E+08 | ||||||

Earth | 1.50E+08 | ||||||

Moon | |||||||

Mars | 2.28E+08 | ||||||

Jupiter | 7.79E+08 | ||||||

Saturn | 1.43E+09 | ||||||

Uranus | 2.87E+09 | ||||||

Neptune | 4.50E+09 |