Answer:
Explanation:
u = 150 m/s
R = 800 m
The formula for the horizontal range is
where, θ is angle of projection.
Sin2θ = 0.348
2θ = 20.4°
θ = 10.2°
The range is same for the complementary angles.
So, the other angle is 90 - 10.2 = 79.8°
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Below is the answers:
Fullback running
<span>Mo = mass * velocity </span>
<span>Mo = 95kg * 8.2 m/s =779 kg*m/s (a </span>
<span>He got stopped Change in Mo = 779 kg*m/s (b </span>
<span>Both stopped ===> Tackle's mo = - Halfback's Mo = - 779 kg*m/s (c & d </span>
<span>- 779 = 128 * v </span>
<span>v= - 6.09 m/s (e</span>
Answer:
total surface area is 432
Explanation:
Given data
base = 6
diagonals = 8
altitude = 12
to find out
total surface area
solution
we know total surface area of prism is
total surface area = lateral surface area + 2base area ..............1
so
first we calculate base perimeter i.e = 2 length + 2 width
so perimeter = 2(8) + 2(6) = 25
and area = length * width = 8*6 = 48
so lateral surface area is perimeter * height i.e
lateral surface area = 28* 12
lateral surface area = 336
put this value in equation 1 we get
total surface area = lateral surface area + 2base area
total surface area = 336 + 2(48)
total surface area is 432
Answer:
iv) It is 9x bigger than before
Explanation:
As the amplitudes of the new speakers add directly with the original one, taking into account the phase that they have, the composed amplitude of the sound wave is as follows:
At = A + 4A -2A = 3 A
The intensity of the wave, assuming it propagates evenly in all directions, is constant at a given distance from the source, and can be expressed as follows:
I = P/A
where P= Power of the wave source, A= Area (for a point source, is equal to the surface area of a sphere of radius r, where is r is the distance to the source along a straight line)
For a sinusoidal wave, the power is proportional to the square of the amplitude, so the intensity is proportional to the square of the amplitude also.
If the amplitude changes increasing three times, the change in intensity will be proportional to the square of the change in amplitude, i.e., it will be 9 times bigger.
So, the statement iv) is the right one.
