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2 years ago

15

A 50 meter chain with uniform density and a mass of 40 kilograms is hanging from the roof of a building under construction. How

much work (in Nm) is required to pull the chain up?

2 answers:

Brums [2.3K]2 years ago

8 0

Answer:

19,600 Nm

Step-by-step explanation:

WD = mgh

= 40 × 9.8 × 50

= 19600 Nm

sertanlavr [38]2 years ago

5 0

Answer:

W = 19600 N m

Step-by-step explanation:

W = force * distance

The force is the weight times gravity since it is hanging down

W = 40 kg* 9.8 m/s^2 * 50m

19600 kg m^2/s^2

A newton is kg m/ s^2

W = 19600 N m

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Given the two vertices and the centroids of a triangle, how many possible locations are there for the third vertex?

hoa [83]

Answer:

1

Step-by-step explanation:

The centroid is the average of the coordinates of the three vertices. If you know two vertices (A and B) and the centroid (Q), then the third vertex (C) is ...

C = 3Q -A -B

It has only one possible location.

7 0

2 years ago

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

2 years ago

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Studentka2010 [4]

I like to think of radicals (or square roots) just as x terms-
here, we have the equivalent (kind of) to x * 4x.
Since these are both x terms and 4x= x*x*x*x, we can simply write 5x.

Im not sure what your teacher is asking you to communicate, but most simply would like to see evidence that you understand the material rather than simply looking up the answer... (i mean without reading an explanation xD)
4√x= √x*√x*√x*√xso √x • 4√x =5√x

5 0

2 years ago

PLEASE HELP! URGENT!

TEA [102]

Answer:

C, I believe!

7 0

2 years ago

Read 2 more answers

Is a letter or symbol that represents the unknown value (term)

Lisa [10]

Variable

Step-by-step explanation:

6 0

2 years ago