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Galina-37 [17]
3 years ago
6

A 10-kg mass slides down a flat hill that makes an angle of 10° with the horizontal. If friction is negligible, what is the resu

ltant force on the sled?
Physics
1 answer:
slega [8]3 years ago
8 0

Answer:

Resultant force = 17.02 N

Explanation:

As we assume the coefficient of friction is negligible, the normal force won't affect the resultant force.

As a result of this, the sine of the angle times the force of gravity on the 10 kg mass is equal to the resultant force, which is, force due to gravity = m × a = 10 kg × 9.8 m/s² = 98 N

98 sin(10)=?

Sin(10)= 0.1736

98 x 0.1736= 17.02 N.

Therefore, the resultant force = 17.02 N

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By what factor is the intensity of sound at a rock concert louder than that of a whisper when the two intensity levels are 120 d
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Answer:

The intensity of sound at a rock concert is louder than that of a whisper by a factor of 1 x 10¹⁰

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whisper sound intensity level, β₂ = 20 dB

The sound intensity level is given as;

\beta = 10Log(\frac{I}{I_o} )\\\\

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I₀ is the threshold sound intensity of hearing = 10⁻¹² W/m²

I is the sound intensity

Intensity of sound at rock concert ;

120 =  10Log(\frac{I}{10^{-12}} )\\\\12 =  Log(\frac{I}{10^{-12}} )\\\\10^{12} = \frac{I}{10^{-12}}\\\\I = 10^{12}  * 10^{-12}\\\\I = 10^0\\\\I = 1 \ W/m^2

The intensity of sound of a whisper;

20 =  10Log(\frac{I}{10^{-12}} )\\\\2 =  Log(\frac{I}{10^{-12}} )\\\\10^{2} = \frac{I}{10^{-12}}\\\\I = 10^{2}  * 10^{-12}\\\\I = 10^{-10} \ W/m^2\\\\

Determine the factor by which the intensity of sound at a rock concert louder than that of a whisper

\frac{I_{Concert}}{I_{whisper}} = \frac{1}{10^{-10}} \\\\\frac{I_{Concert}}{I_{whisper}} = 1 * 10^{10}\\\\I_{Concert} = 1 * 10^{10}*I_{whisper}

Therefore, the intensity of sound at a rock concert is louder than that of a whisper by a factor of 1 x 10¹⁰

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3 years ago
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