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Ymorist [56]
3 years ago
12

" A car is travelling around a horizontal circular track with radius r = 230 m at a constant speed v = 17 m/s as shown. The angl

e θA = 25° above the x-axis, and the angle θB = 58° below the x-axis.
1. What is the x component of the car’s acceleration when it is at point A?
2.What is the y component of the car’s acceleration when it is at point A?
3.What is the x component of the car’s acceleration when it is at point B?
4. What is the y component of the car’s acceleration when it is at point B?"
Mathematics
1 answer:
Luda [366]3 years ago
7 0
R = 230 m
v = 17 m/s

Formula: |Ac| = v^2 / r

Point A

|Ac| = v^2 / r = (17m/s)^2 / (230m) = 1.257 m/s^2

Components:

cos(25) = - [ x-component / |Ac| ] => x-component = -|Ac|*cos(25)
sin(25)  = - [y-component / |Ac| ] => y-component = - |Ac|*sin(25)

x-component = - 1.256 * cos(25) m/s^2 = - 1.139 m/s^2
y-component =  -1.256 * sin (25) m/s^2 = - 0.531 m/s^2

Point B

|Ac| = 1.256

x-component = - 1.256 cos(58) = - 0.666 m/s^2
y-component = + 1.256 sin(58) = + 1.065 m/s^2

 

 
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klio [65]

Answer:

260.55682 mL

Step-by-step explanation:

Given :

(1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)

1 pounds of coffee beans = 50 cups of coffee

Number of mL of coffee that can be obtainwd from 10 g of coffee beans

1 pound = 454g

10 * 50 cups = 500 cups / 454 = 1.1013215 cups

1.1013215 / 4 = 0.2753303 qt

0.2753303 qt / 1.0567 qt = 0.2605568 L

0.2605568 L * 1000 = 260.55682 mL

7 0
3 years ago
The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2. Find:
Ostrovityanka [42]
The surface area is 870 cm².

Since the base is a regular quadrilateral, each side is the same; dividing the perimeter by 4 will give us the side length:

60/4 = 15

To find the area, we square the side length:
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There are two bases, so the area of these is 2(225) = 450

There are 4 lateral faces, so the lateral area is 4(105) = 420

Together, this gives us a total surface area of 870.
3 0
3 years ago
A rectangle has a length of 16 feet and a width of 12 feet. Find the area of the rectangle in square feet.
svp [43]

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7 0
4 years ago
Find the area please explain confused on these
EastWind [94]
This is similar to the question before. Remember that the height of a triangle is drawn 90 degrees from the base (see the little square), meaning that the height is 6.9 cm.  And the base is the line the triangle is standing on ( which is 8.4 cm) 
 
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-Dominant- [34]

Answer:

y = 3/2

Step-by-step explanation:

5(2y - 1) - 2(3y) = 1

First we use distributive property:

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because 5 × 2y = 10y

and -2 × 3y = -6y

Now we combine the like terms:

4y -5 = 1

because 10y - 6y = 4y

Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)

4y = 1 + 5

Again we combine the like terms:

4y = 6

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Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)

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and we simplify:

y = 3/2

And we cannot simplify or do anything else. So that is the answer.

Hope that helped!

5 0
4 years ago
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