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3 years ago

A 1.6 Kg bird that is flying through the air has 220 J of kinetic energy. How fast is the bird flying?

Physics

1 answer:

xxTIMURxx [149]3 years ago

3 0

Answer:

v = 16.58 m/s

Explanation:

Given that,

Mass of a bird, m = 1.6 kg

Kinetic energy of the bird, K = 220 J

We need to find the speed of the bird. The formula for the kinetic energy is given by :

$E=\dfrac{1}{2}mv^2$

Where

v is the speed of the bird

So,

$v=\sqrt{\dfrac{2E}{m}}$

Put all the values,

$v=\sqrt{\dfrac{2\times 220}{1.6}}\\\\v=16.58\ m/s$

So, the speed of the bird is equal to 16.58 m/s.

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Equating both expressions we will have;

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Divide both equations by 2π

$\frac{2 \pi\sqrt{\frac{m}{2 \pi} } }{2 \pi}=\frac{\frac{2 \pi}{\omega} }{2\pi}\\\sqrt{\frac{m}{2 \pi} } = \frac{1}{\omega}\\$

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$(\sqrt{\frac{m}{k} } )^2 = (\frac{1}{\omega} )^2\\\frac{m}{k} = \frac{1}{\omega ^2} \\\omega ^2 = \frac{k}{m}$

Take the square root of both sides

$\sqrt{\omega ^2} =\sqrt{\frac{k}{m} } \\\omega = \sqrt{\frac{k}{m}$

Hence the expression of ω in terms of m and k is

$\omega = \sqrt{\frac{k}{m}$

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3 years ago

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The answer is D.<span>longitudinal</span>

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3 years ago

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Vladimir [108]

Answer:

$\boxed {\boxed {\sf D. \ 6.02*10^{23} \ atoms}}$

Explanation:

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Regardless of the particles, there will always be <u>6.02*10²³</u> (also known as Avogadro's Number) particles in one mole of a substance.

Therefore, the best answer for 1 mole of titanium is D. 6.02*10²³ atoms.

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3 years ago

A lead ball is dropped into a lake from a diving board 5.0 m above the water. After entering the water, it sinks to the bottom w

nirvana33 [79]

Answer:

$|D_{depth} |=19.697m$

Explanation:

To find Depth D of lake we must need to find the time taken to hit the water.So we use equation of simple motion as:

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So the depth of lake is given by:

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t=3.0-1.01 =1.99 s

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3 years ago