Answer:
The value is ![x = 45.99 \ Au](https://tex.z-dn.net/?f=x%20%3D%20%2045.99%20%5C%20%20Au)
Explanation:
From the question we are told that
The period of the asteroid is ![T = 176 \ years = 176 * 365 * 24 * 60* 60 = 5.55*10^{9}\ s](https://tex.z-dn.net/?f=T%20%3D%20%20176%20%5C%20years%20%3D%20176%20%2A%20365%20%2A%2024%20%2A%2060%2A%2060%20%3D%205.55%2A10%5E%7B9%7D%5C%20s)
Generally the average distance of the asteroid from the sun is mathematically represented as
![R = \sqrt[3]{ \frac{G M * T^2 }{4 \pi} }](https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7BG%20M%20%2A%20T%5E2%20%7D%7B4%20%5Cpi%7D%20%7D)
Here M is the mass of the sun with a value
![M = 1.99*10^{30} \ kg](https://tex.z-dn.net/?f=M%20%20%3D%20%201.99%2A10%5E%7B30%7D%20%5C%20%20kg)
G is the gravitational constant with value ![G = 6.67 *10^{-11} \ m^3 \cdot kg^{-1} \cdot s^{-2}](https://tex.z-dn.net/?f=G%20%20%3D%20%206.67%20%2A10%5E%7B-11%7D%20%20%5C%20%20m%5E3%20%5Ccdot%20kg%5E%7B-1%7D%20%5Ccdot%20%20s%5E%7B-2%7D)
![R = \sqrt[3]{ \frac{6.67 *10^{-11} * 1.99*10^{30} * [5.55 *10^{9}]^2 }{4 * 3.142 } }](https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B6.67%20%2A10%5E%7B-11%7D%20%20%2A%201.99%2A10%5E%7B30%7D%20%2A%20%5B5.55%20%2A10%5E%7B9%7D%5D%5E2%20%7D%7B4%20%2A%203.142%20%7D%20%7D)
=> ![R = 6.88 *10^{12} \ m](https://tex.z-dn.net/?f=R%20%3D%206.88%20%2A10%5E%7B12%7D%20%5C%20%20m)
Generally
![1.496* 10^{11} \ m \to 1 Au (Astronomical \ unit )](https://tex.z-dn.net/?f=1.496%2A%2010%5E%7B11%7D%20%20%5C%20%20m%20%20%5Cto%20%201%20Au%20%28Astronomical%20%5C%20%20unit%20%29)
So
![R = 6.88 *10^{12} \ m \ \ \ \ \to \ \ x \ Au](https://tex.z-dn.net/?f=R%20%3D%206.88%20%2A10%5E%7B12%7D%20%5C%20%20m%20%5C%20%5C%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%20%20x%20%5C%20%20Au)
=> ![x = \frac{6.88 *10^{12}}{1.496 *10^{11}}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B6.88%20%2A10%5E%7B12%7D%7D%7B1.496%20%2A10%5E%7B11%7D%7D)
=> ![x = 45.99 \ Au](https://tex.z-dn.net/?f=x%20%3D%20%2045.99%20%5C%20%20Au)
A speed cause it would slow down meeting eachother
Answer:
How fast is it going? 29.4 Meters per second
How far has it fallen? 44.1 meters
Explanation: Gravitional Acceleration: 9.8 meters per secnd squared!
Answer: The change in velocity is 20mph
Explanation: The change in velocity is the difference between the final velocity and the initial velocity.
The initial velocity is 0 and the final velocity is 20mph.
Using the formula dV=Vf-Vi
dV=20-0
dV=20mph North
Hi there!
We can use Newton's Second Law:
![\Sigma F = ma](https://tex.z-dn.net/?f=%5CSigma%20F%20%3D%20ma)
∑F = net force (N)
m = mass (kg)
a = acceleration (m/s²)
We are given the mass and acceleration, so:
∑F = 20 · 2 = <u>40 N</u>