Answer:
P = 34034.2 Watt
Explanation:
As we know that the slope angle is given as
now the weight of the rider along the slope is given as
now total weight of all 53 riders along the slope is given as
now the speed of the rope is given as
now the power required is given as
Answer:
pf = 198.8 kg*m/s
θ = 46.8º N of E.
Explanation:
- Since total momentum is conserved, and momentum is a vector, the components of the momentum along two axes perpendicular each other must be conserved too.
- If we call the positive x- axis to the W-E direction, and the positive y-axis to the S-N direction, we can write the following equation for the initial momentum along the x-axis:
- We can do exactly the same for the initial momentum along the y-axis:
- The final momentum along the x-axis, since the collision is inelastic and both objects stick together after the collision, can be written as follows:
- We can repeat the process for the y-axis, as follows:
- Since (1) is equal to (3), replacing for the givens, and since p₀Bₓ = 0, we can solve for vfₓ as follows:
- In the same way, we can find the component of the final momentum along the y-axis, as follows:
- With the values of vfx and vfy, we can find the magnitude of the final speed of the two-object system, applying the Pythagorean Theorem, as follows:
- The magnitude of the final total momentum is just the product of the combined mass of both objects times the magnitude of the final speed:
- Finally, the angle that the final momentum vector makes with the positive x-axis, is the same that the final velocity vector makes with it.
- We can find this angle applying the definition of tangent of an angle, as follows:
⇒ θ = tg⁻¹ (1.06) = 46.8º N of E
<h2>Answer A (Part 1) with Explanation</h2>
According to the big bang theory, it is the phenomenon which has given birth to the universe that now we live in. The expansion of Universe occurred at a very high speed which resulted into a huge explosion but it took place in a very short period of time. Due to the reasoning it is referred to take place from a small singularity which was very densely populated with matter and antimatter. These came into existence and later on, the atoms combined to form molecules and gases.
<h2>Answer A (Part 2) with Explanation</h2>
As per the approval of the Big Bang Theory simply prior to the investigation of Dark Energy during the year 1990s. The cosmologists had proceeded to grant on two situations as signifying the commonly expected consequences for our Universe.
- Primarily the generally recognized as the “Big Crunch” synopsis, the universe will approach the greatest size and suddenly start to collapse in upon itself. This will barely be feasible if the size density of the Universe is larger than the significant density.
- The Second situation is termed as the Big Freeze. The density in the galaxy was comparable to or under the demanding density, the development would reduce without stopping.
<h2>Answer A (Part 3) with Explanation</h2>
According to the closed model, the expansion of the universe would eventually stop due to the gravity and will cause it to contract until all matter in the universe collapses to a point. The expansion would increase which would tear the universe, resulting in it to forcibly end in a big rip. Alternatively, the universe might shrink due to a decrease or decay, reversing the big bang theory and result in a big crush which may end the universe.
<h2>Answer B (Part 1) with Explanation</h2>
Redshift is defined how light shifts toward longer wavelengths of the spectral lines which are emitted by a moving object away from the earth of any celestial object. This concept is the key to charting the universe’s expansion for the astronomers and it can be understood by observing the wavelength of light being stretched or shifted towards the red part of the spectrum. It is used when the light moves near to lower frequencies or toward the red end of the spectrum.
<h2>Answer B (Part 2) with Explanation</h2>
The conclusions made are that every galaxy is moving away beyond the Milky Way from every galaxy and another one that the universe is expanding. The brilliant observation concludes that the redshift was directly proportional to the distance of the galaxy of the Earth which meant that things were moving away farther from Earth at a faster rate. This is known as the Hubble law which describes this expansion and the facts that the galaxies are moving away.
Answer:
The magnetic field reverses direction.
Explanation:
A thermal reservoir can be characterized as a thermal body that is large enough that when energy is dumped into it or taken out of it, the temperature of the reservoir does not vary considerably.
<h3>What is a thermal reservoir?</h3>
A thermal reservoir is as described, a body large enough to have a very high heat capacity. This heat capacity refers to the amount of energy needed to raise the temperature by one degree.
Therefore, we can confirm that bodies with a large enough heat capacity will be considered thermal reservoirs. This is due to the fact that when energy is dumped into it or taken out of it, the temperature of the reservoir <u>does not vary considerably</u>.
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