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Vladimir [108]
3 years ago
14

There are 30 students in a year 6 class.

Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0

Answer:

32

Step-by-step explanation:

add

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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

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3 years ago
Lynnette can wash 959595 cars in 5 days.<br> How many cars can Lynnette wash in 11 days?
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Answer:

Lynnette can wash 2111109 in 11 days

Step-by-step explanation:

Have a good day :)

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3 years ago
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