Answer:
4 kg → +4 m/s
5 kg → -5 m/s
Explanation:
The law of conservation of momentum states that:
- m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
- left side → velocities before collision
- right side → velocities after collision
You'll notice that we have two missing variables: v₁' & v₂'. Assuming this is a perfectly elastic collision, we can use the conservation of kinetic energy to set the initial and final velocities of the individual bodies equal to each other.
Let's substitute all known variables into the first equation.
- (4)(-6) + (5)(3) = (4)v₁' + (5)v₂'
- -24 + 15 = 4v₁' + 5v₂'
- -9 = 4v₁' + 5v₂'
Let's substitute the known variables into the second equation.
- (-6) + v₁' = (3) + v₂'
- -9 = -v₁' + v₂'
- 9 = v₁' - v₂'
Now we have a system of equations where we can solve for v₁ and v₂.
- -9 = 4v₁' + 5v₂'
- 9 = v₁' - v₂'
Use the elimination method and multiply the bottom equation by -4.
- -9 = 4v₁' + 5v₂'
- -36 = -4v₁' + 4v₂'
Add the equations together.
<u>The final velocity of the second body (5 kg) is -5 m/s</u>. Substitute this value into one of the equations in the system to find v₁.
- 9 = v₁' - v₂'
- 9 = v₁' - (-5)
- 9 = v₁' + 5
- 4 = v₁'
<u>The final velocity of the first body (4 kg) is 4 m/s.</u>
<u></u>
We can verify our answer by making sure that the law of conservation of momentum is followed.
- m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
- (4)(-6) + (5)(3) = (4)(4) + (5)(-5)
- -24 + 15 = 16 - 25
- -9 = -9
The combined momentum of the bodies before the collision is equal to the combined momentum of the bodies after the collision. [✓]
Answer:
V = 4 cm^3
Explanation:
Divide the mass by the density.
3.50g/0.875g/mL = 4cm^3
`1.Many galaxies exist.
3.Most galaxies are moving away from us.
4.Uniform background radiation is detected in every direction.
Explanation:
The Big bang theory is a theory explaining the formation of the universe from the early stages to today.According to the theory , the universe started as a hot ,small , & dense super-force with no singularity(atom, structure, form).The evidence of this theory include;
- systematical shifting of the galaxies away from us
- A radiation called cosmic microwave background radiation only explained by the theory
- Larger redshifts causing great drop off in the number of quasar
- Abundance of different elements in the universe such as hydrogen and lithium checked through spectra of oldest stars and gas clouds.
Learn More
Big bang theory:brainly.com/question/1581355
Keywords: evidence, supports, Big bang theory
#LearnwithBrainly
An isotope of an element contains the same number of protons as the original element however, the number of neutrons depends on the different isotopes of the element.
