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Ivenika [448]
3 years ago
10

A cannon ball is launched off a 100 m cliff horizontally with an initial horizontal velocity (Vx) of 50 m/s.

Physics
1 answer:
denis-greek [22]3 years ago
7 0

We have the equation of motion s = ut+\frac{1}{2} at^2 , where s is the displacement, a is the acceleration, u is the initial velocity and t is the time taken.

Here displacement = 100 m, Initial velocity = 0 m/s, acceleration = 9.81 m/s^2

Substituting

100 = 0*t+\frac{1}{2} *9.8*t^2\\ \\ 100 = 4.9t^2\\ \\ t = 4.52 seconds

A cannon ball is launched off a 100 m cliff horizontally with an initial horizontal velocity (Vx) of 50 m/s will take 4.52 seconds to reach the ground.


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A trombone plays a C3 note. If the speed of sound in air is 343 m/s and the wavelength of this note is
Umnica [9.8K]

The frequency of note C3 is 131 s^{-1}.

<u>Explanation:</u>

Frequency is the measure of repetition of same thing a certain number of times. So frequency is inversely proportional to the wavelength. As wavelength is distance between two successive crests or troughs in a sound wave.

And frequency is the completion of number of cycles in a given time in sound waves. The frequency and wavelength are inversely proportional to each other with velocity of sound being the proportionality constant.

Thus, here the speed of sound is given as 343 m/s, the wavelength of the note is also given as 2.62 m, then frequency will be as follows:

Frequency=\frac{speed of sound}{Wavelength of note}

Thus,

Frequency = \frac{343 m/s}{2.62 m} = 131 s^{-1}

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3 years ago
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4 years ago
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3 years ago
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8 0
4 years ago
What is the least amount of time required for a given point on this wave to move from y = 0 to y = 12cm?
ale4655 [162]

Time t = ?

<span>When wave is moving from y = 0  to y =12 cm</span>

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cos [(π/12) t)] = 0 = cos (π/2), so, 

(π/12)t = π/2,

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t = 12/2

<span>t = 6 sec</span>

<span>so 6 sec is the least amount of time required</span>

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