Solution :
Given :
Mass attached to the spring = 4 kg
Mass dropped = 6 kg
Force constant = 100 N/m
Initial amplitude = 2 m
Therefore,
a). 

= 10 m/s
Final velocity, v at equilibrium position, v = 5 m/s
Now, 
A' = amplitude = 1.4142 m
b). 
m' = 2m
Hence, 
c). 

Therefore, factor 
Thus, the energy will change half times as the result of the collision.
The answer is D using the work formula
W= F•d but if it was against gravity, it would be 0 if gravity is exerting the same amount, I would pick D using the formula, but I'm not so sure sorry
Data Analysis and Conclusion
Answer:
The modern instruments or we can say the different levels of telescopes are used to explore and study the distant galaxies. i.e the Hubble telescope is out there providing the data regarding the different properties of the celestial entities which in other case is not visible to the human naked eye.
Explanation:
- Scientists and research workers are in constant search for more answers as they explore the universe and implement the laws of physics on the celestial entities. But, most of the objects inside the universe are not visible to human naked eye, as they are far from sight and thus more advanced form of instruments like the x-ray, optical, and light telescopes are used to determine the different properties of the celestial entities inside the universe.
- As, these telescopes includes the most recent "Hubble telescope", which is out there inside the space to explore the universe and more over the galaxies by subjecting them with x-rays and then provide us with a very rough but valid results to study the distant galaxies.
Yes, a test could be performed to support the claim.
Hypothesis: The claim that a manufacturer’s cleanser works
twice as fast as any other cleanser.
So, based from this hypothesis, we can perform the following
tests:
We assign Cleanser A to the manufacturer that claims that their cleanser works
twice as fast as any other cleanser and Cleanser B to the cleanser to be
compared with.
1.
Get two tiles and put the same amount of stain
on them.
2.
Apply Cleanser A on the first tile and Cleanser
B on the second tile.
3.
Apply the same amount of force in removing the
stains on both tiles
4.
Record the amount of time it takes to remove the
stains on each tile.