Answer:
a)
(Positive), b)
. The collision is not perfectly elastic.
Explanation:
a) The collision can be described by the Principle of Momentum Conservation and Principle of Energy Conservation:

The final velocity of the rock is:

b) The coefficient of restitution is the best criterion to distinguish elastic collsions from inelastic collisions, such criterion is the ratio of final energy of the system to initial energy of the system:
![e = \frac{\frac{1}{2}\cdot [(0.140\,kg)\cdot (34.607\,\frac{m}{s} )^{2}+(0.0085\,kg)\cdot (-250\,\frac{m}{s} )^{2}] }{\frac{1}{2}\cdot [(0.140\,kg)\cdot (0\,\frac{m}{s} )^{2}+(0.0085\,kg)\cdot (320\,\frac{m}{s} )^{2}] }](https://tex.z-dn.net/?f=e%20%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5B%280.140%5C%2Ckg%29%5Ccdot%20%2834.607%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D%2B%280.0085%5C%2Ckg%29%5Ccdot%20%28-250%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D%5D%20%7D%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5B%280.140%5C%2Ckg%29%5Ccdot%20%280%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D%2B%280.0085%5C%2Ckg%29%5Ccdot%20%28320%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D%5D%20%7D)

The collision is not perfectly elastic.
Explanation:
That's because the Sun's acceleration is much smaller
Answer:
Explanation:
Let the velocity of lander with respect to earth be v .
In relativistic mechanism the expression for relative velocity is
v_r = 
Given u = .6c , v_r = .8 c
Substituting the values
.8c = 
.8c-.48v = v - .6c
v = .946c
b )
Distance in terms of time = .2 ly
In relativistic mechanism , expression for relativistic time is given by the following relation
t = 
Substituting v = .946c
t₀ = .2
t = 
.2 / √.1050
= .62 ly
distance to the Earth at the time of lander launch, as observed by the aliens will be .62 ly.
Astronomers give stars names so that they're able to identify and keep track of them more easily.
Answer: Yep! I made a yt vid on them so look this up:
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