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3 years ago

How to find the sum of the forces in the y direction of an elevator?

1 answer:

6 0

A cardboard box rests on the floor of an elevator. The box has a mass m = 3.75 kg and the elevator has an upward acceleration of a

Part a. Select the Free Body Diagram for the system
Part b. Write an expression for the sum of the forces actinv on the box in the y direcion, given that up is the positive y direction. Your answer should be in terms of FN, m, g.
Part c. Write an expression for the normal force FN, that the block experiences in terms of the elevator's accelaration, the block's mass and the accelaration of gravity
Part d. If the elevator's accelaration has a magnitude of g in the downward direction, what would the normal force FN1 be in Newtons? (Numerical value)
Part e. If the elevator's accelaration had a magnitude of g in the upward direction, what would the normal force FN2 ve in Newtons? (Numerical value)

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Solve the system by elimination 1: x+5y-4z=-10, 2x-y+5z=-9, 2x-10y-5z=0 .. . 2. Solve the system by substitution: 2x-y+z=-4, z=5

Kryger [21]

1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
---------------------------
- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
-----------------------------
- 20 x + 3 z = 20 / * 11
----------------------------------
220 y - 260 z = -220
- 220 y + 33 z = 220
------------------------------
z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
------------------------
3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
------------------------
- 6 y - 2 z = -22
6 y + 1.5 z = 21
------------------------
-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.

8 0

3 years ago

Y = 1/2x +10 y = 4x - 4 solve by graphing

Firdavs [7]

Answer:

(4,12)

MARK ME BRAINLIEST

4 0

3 years ago

Triangles are similar. Round answer to nearest tenth (step by step)

ozzi

Answer:

13.5

Step-by-step explanation:

Similar = alike but not the same

A lot of times in geometry it would mean that they have the same shape, just different size, so first find the ratio:

6/12 = 1/2

27 * 1/2 = 27/2 = 13.5

7 0

3 years ago

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15) In your own words, write three or four sentences explaining what exponents are and how they are used in math

Scorpion4ik [409]

Answer:

Exponents

Step-by-step explanation:

exponents are basic short cut to write numbers like 100, 1000, 10000, 1000000 and so on.

Exponents can also be defined as 10 raised to a power x whether positive or negative

$10 {}^{x}$

They are mostly used in expressing units in standard form.

<h3>examples of basic positive exponents</h3>

${10}^{2} = 100$

$10 {}^{3} = 1000$

${10}^{4} = 10000$

${10}^{5} = 100000$

basically the power represent the the number of zeroes after the 1.

<h3>examples of basic negative exponents</h3>

${10}^{ - 2} = 0.01$

${10}^{ - 3} = 0.001$

${10}^{ - 4} = 0.0001$

$10 ^{ - 5} = 0.00001$

in negative exponents the power represents the number of zeroes before the 1. including the 0 behind the decimal point.

this is the basic lay down of how exponent work but one more quick example for maximum understanding

<h3>quick example</h3>

$4 \times {10}^{4} = 0.0004$

$4 \times {10}^{4} = 40000$

$8.69 \times 10 {}^{ - 3} = 0.00869$

$8.69 \times 10 {}^{ 3} = 8690$

hope you grasp the concept involved in multiplication with other terms.

cheers

6 0

3 years ago

Greg had $17 more than Fred, and together they had just enough money to by their mom a present that costs $85. How much money di

babunello [35]

<u>Define x:</u>

Let Fred had x dollar.

Fred = x
Greg = x + 17

<u>Solve x :</u>

x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34

<u>Find the amount each of them had:</u>

Fred = x = $34
Greg = x + 17 = 34 + 17 = $51

Answer: Greg had $51

3 0

3 years ago

Read 2 more answers