2 years ago

Explain why friction makes it harder to push a box filled with groceries than an empty box

1 answer:

5 0

It is harder to push a box with groceries in it because the mass is weighing the box down. Which makes it harder to push

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Zielflug [23.3K]

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2 years ago

What are the foci of the ellipse given by the equation 100x^2 + 64y^2 = 6 400?

NikAS [45]

The equation of our ellipse is:

$100 x^2 + 64 y^2 = 6400$ (1)

First, let's reduce the equation of the ellipse to the standard form:

$\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1$

To do that, we should divide both terms of equation (1) by 6400, and we get:

$\frac{x^2}{64}+ \frac{y^2}{100}=1$

This is a vertical ellipse (because $b^2 \ \textgreater \ a^2$ ) centered in the origin, and so the distance of its foci from the origin (on the y axis) is given by

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Therefore, the position of the two foci is (0,6) and (0,-6)

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