Ask question

Ask question

All categories

katrin2010 [14]

3 years ago

6

The spring of a spring balance is 6.0 in. long when there is no weight on the balance, and it is 8.3 in. long with 9.0 lb hung f

rom the balance. How much work is done in stretching it from 6.0 in. to a length of 12.2 in.

1 answer:

Aleks04 [339]3 years ago

5 0

Answer:

74.958 lb-in

Step-by-step explanation:

We are given that

Natural length of spring=l=6 in

After stretching, the length of spring=8.3 in

Weight=W=9 lb

Extension in the sprig=8.3-6=2.3 in

By hook's law

$F==W=kx$

Using the formula

$9=k(2.3)$

$k=\frac{9}{2.3}=3.9 lb/in$

Extension in the spring when the length of spring after stretching to 12.2 in=12.2-6=6.2 in

Work done, W= $\int_{0}^{6.2}3.9xdx$

$W=[\frac{3.9x^2}{2}]^{6.2}_{0}$

$W=3.9\times \frac{(6.2)^2}{2}$

$W=74.958 lb-in$

You might be interested in

Welp. this is 9marks question

bezimeni [28]

Answer:

jssjusjdjduudususuuahshhsjsjhdhshdhhdhsjsjsjjsjdyyhsbzjuxuaj allergy best your eggs have gn tn gn chhe vara gn gn fn ''g gl gl fm g fm fm fm fm gl dp

8 0

3 years ago

Witch expression is equivalent

leva [86]

The equivalent expression of -14 - 6 is -14 - (+6)

<h3>What are equivalent expression?</h3>

Equivalent expressions are expressions that have the same value when evaluated

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

Read more about equivalent expression at

brainly.com/question/2972832

#SPJ1

5 0

2 years ago

Solve for Xin the equation x^2-12+36=90

Hunter-Best [27]

X= + or- square root 66 i solved using the pq formula but u can also use the quadratic formula as well and the square root formula but I'ma show u how to solve it with pq it's on this image hope it helps and mark me brainliest

7 0

3 years ago

Read 2 more answers

Some body can help me with a geometric mean maze

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

$x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.$

2. South-East point from the Start: By the 2nd theorem,

$x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.$

3. West point from the previous: By the 2nd theorem,

$x^2=(32-20)\cdot 32=4\cdot 3\cdot 16\cdot 2\Rightarrow x=2\cdot 4\cdot \sqrt{6}=8\sqrt{6}.$

4. West point from the previous: By the 1st theorem,

$9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.$

5. West point from the previous: By the 2nd theorem,

$10^2=8\cdot (8+x)\Rightarrow 8+x=12.5,\ x=4.5.$

6. North point from the previous: By the 1st theorem,

$x^2=48\cdot 6=6\cdot 4\cdot 2\cdot 6\Rightarrow x=6\cdot 2\cdot \sqrt{2}=12\sqrt{2}.$

7. East point from the previous: By the 2nd theorem,

$x^2=22.5\cdot 30=225\cdot 3\Rightarrow x=15\sqrt{3}.$

8. North point from the previous: By the 1st theorem,

$x^2=7.5\cdot 36=270\Rightarrow x=3\sqrt{30}.$

8. West point from the previous: By the 2nd theorem,

$x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.$

9. North point from the previous: By the 1st theorem,

$12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.$

101. East point from the previous: By the 1st theorem,

$6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.$

11. East point from the previous: By the 2nd theorem,

$20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.$

12. South-east point from the previous: By the 2nd theorem,

$18^2=x\cdot 21.6\Rightarrow x=15.$

13. North point=The end.

6 0

3 years ago

Please help me solve this problem

olga2289 [7]

1,025. Multiply 55 by 15, then add the $200 fee. I hope this helps :)

7 0

3 years ago