Using the following formulas for projectile motion:
Height, H = ( Vo^2 * sin theta^2 )/g
Range, R = ( Vo^2 * sin 2*theta )/g
Rearranging in terms of Vo^2:
Vo^2 = gH / sin theta^2
Vo^2 = gR / sin 2*theta
Equating the two formulas to each other to solve for the angle theta:
gR / sin 2*theta = <span>gH / sin theta^2
</span>
Substituting the given values:
(9.8)(111) / sin 2*theta = (9.8)(72.3)<span> / sin theta^2
</span>angle = 52.36 degrees
Therefore, the angle of launch is approximately 52.36 degrees.
Answer:
I = 4.38 x 10⁻⁷ A
Explanation:
Given,
speed = 4.47 x 10⁴ m/s
radius of the circular path, r = 2.59 x 10⁻⁹ m
effective current = ?
The current represented by the orbiting electron is equal to
f is the frequency
q is charge of electron
we know,
f = 2.74 x 10¹² Hz
now,
I = 4.38 x 10⁻⁷ A
Hence, the effective current associated with the orbiting electron is equal to I = 4.38 x 10⁻⁷ A
Answer:
1065 Kgm-3
Explanation:
We can determine the relative density of the athlete from the formula;
Relative density of athlete = weight of athlete in air/upthrust on athlete
Since weight of athlete in air= 690 N
Weight of athlete in water = 42 N
Upthrust on athlete= weight in air - weight in water
Upthrust on athlete= 690 N - 42 N = 648 N
Relative density of athlete= 690 N / 648 N
Relative density of athlete= 1.065
Therefore, average density of the athlete= relative density × density of water = 1.065 × 1000 Kgm-3 = 1065 Kgm-3
Glaciers<span> begin to </span>form<span> when snow remains in the same area year-round, where enough snow accumulates to transform into ice. Each year, new layers of snow bury and compress the previous layers. This compression forces the snow to re-crystallize, forming grains similar in size and shape to grains of sugar.</span>
The answer to the question that is being presented above would be musical instruments. These instruments are used to create sounds of different pitches and tones by musicians. They operate through being striked or 'sawed' to create vibrations that produce sound.