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Archy [21]
3 years ago
5

A girl whirls a stone in a horizontal circle 1.50 m above the ground by means of a string 165 cm long. The string breaks, and th

e stone flies of horizontally and strike the ground 6.90 m away. What is the centripetal acceleration of the stone while in circular motion

Physics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

95.5ms-2

Explanation:

First we obtain the time taken for the motion from the equation of motion. Secondly we obtain the horizontal velocity of the stone. This can now be used to calculate the centripetal acceleration. Note that the length of the chord is the radius of the circle around which the stone moves.

All details are contained in the detailed step-by-step solution attached to this answer.

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4 years ago
Two identical traveling waves, moving in the same direction, are out of phase by π/5.0 rad. What is the amplitude of the resulta
andreev551 [17]

Answer:

Therefore the amplitude of the resultant wave is =0.95 y_m

Explanation:

The equation of wave:

y=A sin (kx-ωt)

For wave 1:

y₁=A sin (kx-ωt) = y_{m}sin (kx-ωt)

For wave 2:

y₂=A sin (kx-ωt+Φ) = y_{m}sin (kx-ωt+Φ)

Where A= amplitude=y_m

The angular frequency \omega=\frac{2\pi}{T}

k=\frac{2\pi}{\lambda} , \lambda= wave length.

t= time

T= Time period

\phi = phase difference =  \frac{\pi}{5}

The resultant wave will be

y = y₁ + y₂

 =y_m sin (kx-ωt) + y_m sin (kx-ωt+Φ)

 =y_m {sin (kx-ωt) + sin (kx-ωt+Φ)}

 =y_m\  sin(\frac{kx-\omega t +\phi + kx-\omega t }2)\ cos(\frac{kx-\omega t  +\phi -kx+\omega t}2)

 =y_m\  sin({kx-\omega t +\frac\phi 2)\ cos(\frac{\phi }2)

=y_m\ cos(\frac{\phi }2) sin({kx-\omega t +\frac\phi 2)

Therefore the amplitude of the resultant wave is

=y_m\ cos(\frac{\phi }2)

=y_m\ cos(\frac{\pi }{10})

=0.95 y_m

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4 years ago
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Answer:

Oxygen is an element that can be a solid, liquid or gas depending on its temperature and pressure. In the atmosphere it is found as a gas, more specifically, a diatomic gas. This means that two oxygen atoms are connected together in a covalent double bond.

5 0
3 years ago
if C is the vector sum of A and B C=A+B what must be true about directions and magnitude of A and B if C=A+B? what must be true
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The vector sum is the algebraic sum if the two vectors have the same direction.

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There are two special cases where the vector sum can be reduced to the algebraic sum if the vectors are parallel

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