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Marina CMI [18]
3 years ago
13

Forces are _______________ quantities since they have magnitude and direction.

Physics
1 answer:
dybincka [34]3 years ago
3 0

Forces are vector quantities since they have magnitude and direction.

I hope I got this right!

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(02.01)triangle xyz slides 2 units left and 1 unit down on the coordinate plane. if the original measure of angle x was 40 degre
andre [41]

Let us say that triangle XYZ has sides of XY, YZ, and ZX.

Each of the corners X, Y, and Z are located at their own (x, y) points.

If all of the triangle are transformed through translation by a movement of 2 units left and 1 unit down on the coordinate plane then we generate a triangle X’Y’Z’.

Then each of the corners X’, Y’ and Z’ are now located at (x – 2, y – 1) coordinates.

Since all of the corners were moved then we can also say that:

XY is congruent to X’Y’

YZ is congruent to Y’Z’

ZX is congruent to Z’X’

Since all sides are congruent, therefore all angles are also congruent.

Therefore the measure of angle x’ is equal to the measure of angle x.

 

Answer:

<span>40 degrees</span>

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4 0
3 years ago
A mass with mass 4 is attached to a spring with spring constant 24 and a dashpot giving a damping 20. The mass is set in motion
aleksandrvk [35]

Answer: x(t) = 14e^{-2t} - 10e^{-3t}

Explanation: In a mass-spring-damper system, the differential equation that rules the motion of the mass is: mx" + cx' + kx = 0

Using m = 4, k = 24 and c = 20, we have

4x" + 20x' + 24x = 0

Simplifying, we have

x" + 5x'+ 6x = 0

The characteristic equation of this differential is

r^{2} + 5r + 6 = 0

The solutions for the quadratic equation are: r_{1} = -2 and r_{2} = -3

Hence:

x(t) = C_{1}e^{-2t} + C_{2}e^{-3t}

x'(t) = -2C_{1}E^{-2t} - 3C_{2}e^{-3t}

To determine the constants, we have the initial conditions x(0) = 4 and

x'(0) = 2, then:

x(0) = C_{1} + C_{2} = 4\\          C_{1} = 4 - C_{2}

x'(0) = -2C_{1} -3C_{2} = 2\\-2(4-C_{2}) -3C_{2} = 2\\C_{2} = -10\\C_{1} = 4 - C_{2}\\C_{1} = 14

Substituing the constants:

x(t) = 14e^{-2t} - 10e^{-3t}

The position function for this system is: x(t) = 14e^{-2t} - 10e^{-3t}

7 0
3 years ago
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