**Answer:**

D

**Explanation:**

the AU is the distance between the earth and the sun

My original answer was deleted because I added a link incase the photo wouldn't upload, but I guess I can retype it!

In this question I would look at the **keypoints****, **such as **"2 minutes with a constant speed of 4m/s." **

What is found in this question is:

**1- (S) speed = 4m/s **(I will assume this means miles per second.

**2- (T) time = two minutes. **

When these things are read aloud with the following question, it will become known that in order to find the **(D) distance, **that you would/will need a formula(s).

In **physics, **there is a helpful formula known as the, **"distance, speed and time equation." **

An easy way to remember how to use this formula is through either drawing a triangle, and placing the lettering on how you would find the answer to which calculation you are trying to find.

Example of the triangle as best as I can provide:

**(S) speed= (D) distance / (T) time. [S= D/T]**

**(T) time= (D) distance / (S) speed. [T= D/S]**

**(D) distance= (S) speed x (T) time. [D= (S)T]**

Reflect on what you are looking for, which is the **(D) distance **the person would cover in **2 minutes at a constant speed of 4 m/s. **

Fit the numbers into your equation.

D= (S)4 m/s x** (T) 2 minutes**

YOUR ANSWER:

(D) Distance = **0.298258 miles**

I hoped this helped, and will help in future questions like these! Have a good day!

**Answer:**

cm^2 is used to measure (surface) area .

**Answer:**

<em>**The internal energy change is 330.01 J**</em>

**Explanation:**

**Given **

the initial volume = 5.75 L

the final volume = 1.23 L

is the external pressure = 1.00 atm

q the heat energy removed = -128 J (since is removed from the system)

**expansion against a constant external pressure is an example of an irreversible pathway, here pressure in is greater than pressure out and can be obtained thus;**

W = -ΔV

W = -1.00 x(1.23 - 5.75)

W = -1.00 x -4.52

W = 4.52 L atm

converting to joules we have

W = 4.52 L atm x 101.33 J/ L atm = 458.01 J

**The internal energy change during compression can be calculated thus;**

ΔU = q + W

ΔU = -128 J + 458.01 J

ΔU = 330.01 J

**Therefore the internal energy change is 330.01 J**

Answer: V = 4.35 × 10^12 m/s

Explanation: To calculate Rigel velocity relative to us, we should use doppler effect formula.

Fo = (c ) / ( c - Vs) × f

Fo/f = (c ) / ( c - Vs)

4.26 × 10^10 = (3×10^8) 6.17×10^14/(3×10^8 - V)

4.26×10^10/6.17×10^14 = (3×10^8)/(3×10^8 - V)

6.9×10^-5 = (3×10^8)/(3×10^8 - V)

Cross multiply

20713.13 - 6.9×10^-5V = 3×10^8

Collect the like terms

6.9×10^-5V = 3×10^8 - 20713.13

6.9×10^-5V = 299979286.9

V = 299979286.9/6.9×10^-5

V = 4.3475 × 10^12 m/s

Therefore, Rigel's velocity relative to us is 4.3475 × 10^12 m/s