<u>Solution and Explanation:</u>
The following calculation is made in order to find out the area and the final velocity vector.
Using the given information and the data in the question,
m1u1 + m2u2 = (m1 + m2) multiply with v
40000 multiply with ( -20i ) + 60000 multiply with ( 10j ) = 100000 multiply with v
Therefore, v = -8i + 6j
That is |v| = 10 knots towards the 36.86 degree north of the west
The component of the total velocity in the x - direction is 6.96 m/s.
The component of the total velocity in the y - direction is 2.95 m/s.
<h3>
Component of the velocity in x direction </h3>
The component of the total velocity in the x - direction is calculated as follows;
v(x) = vtot cosθ
where;
- vtot is total velocity
- v(x) is velocity in x direction
v(x) = 7.56 x cos(23)
v(x) = 6.96 m/s
<h3>
Component of the velocity in y - direction</h3>
v(y) = vtot sinθ
v(y) = 7.56 x sin(23)
v(y) = 2.95 m/s
Learn more about component velocity here: brainly.com/question/24681896
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Answer:
β₂ = 88.8 dβ
Explanation:
The intensity of the sound is
β = 10 log (I / I₀)
The sensitivity threshold (I₀) for humans is 1 10⁻¹² W / m²
I = I₀ 
I = 10⁻¹² 10^{70/10}
I = 1 10⁻⁵ W / m²
The total intensity for the 76 trombones is
I_total = n I
I_total = 76 1 10⁻⁵
I_total = 76 10⁻⁵ W / m²
Let's find the sound level
β₂ = 10 log (76 10⁻⁵ / 10⁻¹²)
β₂ = 88.8 dβ
Density = mass/ volume (so here this is how you would solve the problem)
<span>D = 38.6 g/ 2 cm3 (first step)</span>
<span>D= 19.3 g/cm3 ( Do math and then you would get this)</span>
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<span>Hope this helps!! :) </span>
In physics, weight is a measure of the force exerted by gravity on a mass.
You probably know that you weigh less on the Moon than on Earth. For instance, if you weigh 100. pounds on Earth, you will weigh 16.6 pounds on the Moon. But, if your mass on Earth is 100 kg, your mass on the Moon is... also 100 kg. Because the amount of matter you have does not change from the Earth to the Moon, but the gravitational force on the Earth is stronger than on the Moon, so you weigh more on Earth.
You can think of gravity pulling a mass toward the center of an object like the Earth. It pulls a lot harder for more massive objects like the Earth than for the Moon. That's why there's a difference in weight.
As a caveat, adding energy or mass to an object will affect its mass. Additionally, general relativity informs us that when something as traveling very near the speed of light, the whole idea of mass equivalency is not exactly true...
