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lesantik [10]
4 years ago
14

Oversteepened slopes often lead to mass movements because

Mathematics
1 answer:
Delicious77 [7]4 years ago
3 0
<span>D. the angle of their slope is greater than 40 degrees </span>
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Step-by-step explanation:

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What is |–12|?<br><br><br> _____
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A spring has natural length 23 cm. Compare the work W1 done in stretching the spring from 23 cm to 33 cm with the work W2 done i
MariettaO [177]

Answer:

The relation between W_{1} \ and \ W_{2} is W_{2} = 3 \ W_{1}

Step-by-step explanation:

Natural length = 0.23 m

Spring stretches from 23 cm to 33 cm. now

Work done W_{1} in stretching the spring

W_{1} = \int\limits^a_b {kx} \, dx

where b = 0 & a = 0.1 m

W_{1} = k [\frac{x^{2} }{2} ]

With limits b = 0 & a = 0.1 m

Put the values of limits we get

W_{1} = k [\frac{0.1^{2} }{2} ]

W_{1} = 0.005 k ------- (1)

Now the work done in stretching the spring from 33 cm to 43 cm.

W_{1} = \int\limits^a_b {kx} \, dx

With limits b = 0.1 m to a = 0.2 m

W_{2} = k [\frac{x^{2} }{2} ]

With limits b = 0.1 m to a = 0.2 m

W_{2} = k [\frac{0.2^{2} - 0.1^{2}  }{2} ]

W_{2} =0.015

\frac{W_{2} }{W_{1} } = \frac{0.015}{0.005}

\frac{W_{2} }{W_{1} } =3

Thus

W_{2} = 3 \ W_{1}

This is the relation between W_{1} \ and \ W_{2}.

3 0
3 years ago
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