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4 years ago

Oversteepened slopes often lead to mass movements because

Mathematics

1 answer:

Delicious77 [7]4 years ago

3 0

D. the angle of their slope is greater than 40 degrees

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From rectangular sheet of length 5cm and breath 3 cm of a circle of radius 2 cm is removed .find the remaining area of sheet ..

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Step-by-step explanation:

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4 years ago

What is |–12|? _____

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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 $W_{1} \ and \ W_{2}$ .

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3 years ago