Which of these is an uneven rhythm movement? Question 5 options:
2 answers:
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Answer:
The resulting speed of the airplane is 150 Km/h
Explanation:
The airspeed of the plane is 120 Km/h due North. The wind came from West pointing to the East at 90 Km/h
Both speeds are acting in different directions, so they must be added as vectors. Both vectors and the resulting velocity (Vr) are shown in the image below
The magnitude of that velocity can be computed by using Pythagoras's theorem:
The resulting speed of the airplane is 150 Km/h
The magnitude of the gravitational force exerted by ball A on ball B is equal to 36.31 × 10⁻¹¹ N.
<h3>What is gravitational force?</h3>Newton’s law of gravitation can be defined as every particle of matter in the universe attracting every other particle with mass with a certain force. The magnitude of gravitational force has a direct relationship with their masses.
Therefore, the gravitational force between two bodies can be written as:
Where G denotes the universal gravitational constant.
Given, the mass of the Ball A = Ball B = 7 Kg
The separation between the two balls, r = 3 m
The magnitude of the gravitational force applied by ball A on ball B can be determined as:
F = 36.31 × 10⁻¹¹ N
Therefore, the gravitational force is equal to 36.31 × 10⁻¹¹ N.
Learn more about gravitational force, here:
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Answer:
<em>There must be added 500 cm3 of alcohol to bring the concentration to 80%.</em>
Explanation:
<u>Concentration</u>
The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solution.
In the container, there are 2 liters (2000 cubic centimeters) of a solution, 75% of which is alcohol (solute) and 25% of water (solvent).
The original amount of alcohol is:
H = 2000*75% = 1500 cc
The original amount of water is:
W = 2000*25% = 500 cc
When we add x cc of pure alcohol, there are 1500+x cc of alcohol out of 2000+x cc of solution.
The new concentration is calculated as:
And it's known this concentration is 80% (0.8), thus:
Multiplying by 2000+x:
Operating:
Rearranging:
x= 500
There must be added 500 cm3 of alcohol to bring the concentration to 80%