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erik [133]
3 years ago
9

If you walk 15m west and 7m east. what is your displacement?

Physics
1 answer:
choli [55]3 years ago
6 0

If we consider our origin to be zero then if we walk 15m west then back 7m east our displacement would be the difference (since west and east are opposite directions to one another).

15m - 7m = 8m

And so, we are 8 meters away from our origin, thus our displacement is 8 meters.

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A mass of 150 g stretches a spring 1.568 cm. If the mass is set in motion from its equilibrium position with a downward velocity
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Answer:

u(t)=\frac{1}{5} sin\ (25t)

Explanation:

Given:

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  • velocity of oscillation, u'(0)=20\ cm.s^{-1}
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<u>According to given:</u>

m.g=k.\Delta x

150\times 980=k\times 1.568

k=93750\ dyne.cm^{-1}

<u>we know frequency:</u>

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

\omega=\sqrt{\frac{93750}{150} }

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Now, for position of mass in oscillation:

u= A.sin\ (\omega.t)+B.cos\ (\omega.t)

u= A.sin\ (25.t)+B.cos\ (25.t)

at t=0;\ u(0)=0\ \Rightarrow A=0

∴u(t)=B.sin\ (25.t)

∵ at t=0;\ u'(0)=20\ cm.s^{-1}\ \Rightarrow B=\frac{1}{5}

u(t)=\frac{1}{5} sin\ (25t)

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