Answer:
Velocity, v = 100 m/s
Explanation:
It is given that,
Initial speed of the train, u = 0
Acceleration of the train,
Let v is the velocity of the train at the end of 20 seconds, t = 20 s
Using the equation of kinematics as :
v = u + a × t
v = a × t
v = 5 × 20
v = 100 m/s
So, the velocity of the train after 20 s is 100 meters. Hence, this is the required solution.
Answer:
Frequency is
Explanation:
Distance between source 1 from the receiver ,
Distance between source 2 from the receiver ,
Now ,
Path difference ,
We know, for constructive interference path difference should be integral multiple of wavelength .
Therefore,
It is given that n = 1,
Therefore,
Frequency can be found by ,
Hence, this is the required solution.
Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.
First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.
Having three known values and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.
If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values and x is the unknown to calculate:
a → b
c → x
So:
Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?
1 kg → 1000000 milligrams
4.56×10⁻² kg → x
So:
<u><em>x=45600 miligrams</em></u>
In summary, the mass of the book is 45600 miligrams.
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