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Monica [59]
3 years ago
8

A 50 kg person is standing on a bathroom scale in an elevator moving upward.

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0
The scale reads the Normal (reaction) force.

a) Upward acceleration

Balance of forces on the scale: Normal - Weight = ma

Normal = 56kg*g
Weight =50*g
ma = 50*a

56*g - 50*g =50*a => a =[ 56*g* - 50*g ] / 50 = 0.12*g =0.12*9.8m/s^2 =

a = 1.176 m/s^2


b) Downward acceleration

Weight - Normal = ma

=> Normal = Weight - m.a

Normal = 50*9.8m/s^2 -  50*1.176m/s^2 = 431.2 N

Scale reading: 431.2 N/ 9.8 N/m = 44 kg.
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One number is 8 greater than another. The product of the numbers is 84. Find the numbers.
mario62 [17]

Let x,y be the two numbers.

Given that one number is 8 greater than another.

Let x be the smaller number ans y be the greater number.

That is y=x+8. Let this be the first equation.

And also given that product of the two numbers is 84.

That is x × y = 84, let us plugin y=x+8 here.

x × (x+8) = 84

x²+ 8x -84 = 0.

x²+12x-4x-84 = 0

x(x+12)-4(x+12) =0

(x-4)(x+12)=0

That is x= 4 or -12.

<h3>If x=4 , y= 4+ 8 = 12</h3>

<h3>If x= -12, y= -12+8 = -4 </h3>

Hence two positive numbers corresponding to given conditions are 4,12.

And two negative numbers corresponding to given conditions are -12,-4.

Step-by-step explanation:

hope it may help you!!

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What is the length of the diagonal, d, of the rectangular prism shown below?
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3 years ago
8(2x – 14) + 13 = 4x – 27
Juliette [100K]
8 (2x - 14) + 13 = 4x -27

distribute 8 through the parentheses

16x - 112 + 13 = 4x - 27

combine like terms

16x - 99 = 4x -27

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12x = 72

divide each side by 12

x = 6
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2 years ago
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