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mart [117]
4 years ago
8

A large crate with mass m rests on a horizontal floor. the coefficients of friction between the crate and the floor are μs and μ

k. a woman pushes downward at an angle θ below the horizontal on the crate with a force
f.
Mathematics
1 answer:
alex41 [277]4 years ago
4 0
Since the box will move only in the horizontal direction and no net vertical motion then the force for the horizontal motion is equal to fcos θ. then this force is equal to the normal force and friction force exerted by the floor.fcos θ = us (Mg + fsin θ)fcos θ = us Mg + us fsin θfcos θ - us fsin θ = us Mgf(cos θ - us sin θ) = us mgf = us Mg/ (cos θ - us sin θ)
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Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. perpendicu
Tanya [424]

Answer:

point-slope form;

(y - 1) = -8(x+2)

slope-intercept form;

y = -8x - 15

Step-by-step explanation:

The first step is to determine the slope of the given line;

8y = x − 4

y = 1/8(x) - 1/2..... After dividing both sides by 8

The slope of the line is thus 1/8, the coefficient of x when the equation is written in slope-intercept form.

The required line is perpendicular to this given line which implies that the product of the slopes will be equal to -1. Let the slope of the required line be m;

m * 1/8 = -1

m = -8

The slope of the required line is thus -8. Using the given point,  (−2, 1), the equation of this line in point-slope form becomes;

(y - 1) = -8(x - -2)

(y - 1) = -8(x+2)

We make y the subject of the formula;

y = -8x - 16 + 1

y = -8x - 15

This is the slope-intercept form of the equation of the line.

3 0
4 years ago
Find the side of a cube whose surface area is 600cm²
expeople1 [14]

Answer:

<em><u>10 cm</u></em>

Explanation:

Surface area of cube = 600 cm^2

Side of a cube = ?

Formula:

Total S.A of cube =  6 x (side of cube)^2

                            = 6 . x^2

600 cm2 =  6 . x^2

x^2  = 600 / 6

x^2 = 100

x = 10 cm

<em>The required side of a cube = 10 cm</em>

8 0
3 years ago
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bixtya [17]

The correct answer is C. 4.

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-3/4m * 2 = -3/2m

As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.

-1/2 * 4 = -2

7 0
3 years ago
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