The key to solve this problem is the conservation of momentum. The momentum of an object is defined as the product between the mass and the velocity, and it's usually labelled with the letter 
:
The total momentum is the sum of the momentums. The initial situation is the following:
(it's not written explicitly, but I assume that the 5-kg object is still at the beginning).
So, at the beginning, the total momentum is
At the end, we have
(the mass obviously don't change, the new velocity of the 15-kg object is 1, and the velocity of the 5-kg object is unkown)
After the impact, the total momentum is
Since the momentum is preserved, the initial and final momentum must be the same. Set an equation between the initial and final momentum and solve it for 
, and you'll have the final velocity of the 5-kg object.
The number of boxes were produced willl be 7.57.n stands for the no of boxes.
<h3>What is volume?</h3>
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the cylindrical metal bar;
V₁=πr²h
V₁=3.4 × 7² × 484 cm
V₁=80,634.4 cm³
The one side of the box is,220mm(22 cm)
V₂ = a³
V₂ = (22)³
V₂ = 10,648 cm³
The no of boxes is found as;
n = V₁/V₂
n=80,634.4 cm³/10,648 cm³
n=7.57
Hence, the number of boxes were produced willl be 7.57
To learn more about the volume, refer to brainly.com/question/1578538
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Answer:
Explanation:
Use mathematical representations to describe a simple model for waves that includes how the amplitude of a wave is related to the energy in a wave. Patterns can be used to identify cause and effect relationships.
The short answer to how the aurora happens is that energetic electrically charged particles (mostly electrons) accelerate along the magnetic field lines into the upper atmosphere, where they collide with gas atoms, causing the atoms to give off light.
