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Lyrx [107]
3 years ago
12

A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .

Mathematics
1 answer:
insens350 [35]3 years ago
6 0
<h2>Answer:0.2352m</h2>

Step-by-step explanation:

Let the mass of the person be m.

Let the spring constant be k.

Let the displacement in spring be x

Let the acceleration due to gravity be g

As it is given that the person just stands,the forces are balanced.

So,mg=kx

Given,

m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}

60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m

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If you place a 10-foot ladder against the top of a 6-foot building, how many feet will the bottom of the ladder be from the bott
Anika [276]

Answer: 8 feet

Step-by-step explanation:

Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:

a^2 + b^2 = c^2

(building)^2 + (missing piece)^2 = (ladder)^2

6^2 + x^2 = 10^2

36 + x^2 = 100. subtract 36

x^2 = 64. square root of both sides

x = 8

6 0
3 years ago
Find the value of q such that qx^2 -5qx-3 divided by x +2 has a remainder of 4.
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

(qx^2-5qx-3)÷(x+2) gives remainder 14q-3

Equating remanders 14q-3=4

14q=7

q=1/2

3 0
3 years ago
Find the value of X.
SCORPION-xisa [38]

Answer:

3.96ft

Step-by-step explanation:3.3/5 is .66 so that is the scale factor and multiply 6 by .66 gets you 3.96 hope this helps god bless

6 0
3 years ago
The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths
Lubov Fominskaja [6]

Answer:

5:6

Step-by-step explanation:

To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.

\sqrt[3]{\frac{125}{216} } =\frac{5}{6}

5 : 6

6 0
2 years ago
Kim and Daniel are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of
ivanzaharov [21]

There are two equation:

1) From Kim

2) From Daniel


Let:

x be the cost of rolls of plain wrapping paper

y be the cost of rolls of shiny wrapping paper


Kim:

7x + 8y = 140

Daniel:

14x + 7y = 154


<u>Using elimination method:</u>

(7x + 8y = 140) * -2  (Multiplying the equation by -2)

-14x - 16y = -280


-14x  -16y = -280

14x + 7y = 154

------------------------------

0x - 9y = -126

9y = 126 (Negative sign cancels from both sides)

y = 126 /9

y = 14


The cost of each shiny wrapping paper is $14.


Now solve x, you pick any two equation to solve for x.

7x + 8y = 140

7x + 8(14) = 140 (You know from above y =14)

7x + 112 = 140

7x = 28

x = 28/7

x = 4


The cost of each plain wrapping paper is $4.


Solution: (4,14)

4 0
3 years ago
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