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fenix001 [56]
3 years ago
6

A force of 15 N will stretch a rubber band 10 cm ​(0.10 ​m). Assuming that​ Hooke's law​ applies, how far will an 18​-N force st

retch the rubber​ band? How much work does it take to stretch the rubber band this​ far?
Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

Answer: a) extension = 0.12m, b) work done = 2.16 J

Step-by-step explanation: according to hooke's law, provided that elastic limit is kept constant force (f) is proportional to extension (e).

F = ke, k = F / e.

F1/e1 = F2/e2

F1 = 15 N, e1 = 0.10m, F2= 18 N, e2 =?

15/0.10 = 18/e2

e2 = 18 * 0.10/ 15

e2 = 1.8/15

e2 = 0.12m.

Work done at this extension = F2 * e2

Work done = 18 * 0.12 = 2.16 J

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katen-ka-za [31]

Answer:

Step-by-step explanation:

its a square, so 16*16 = 256

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5 0
3 years ago
PLEASE I NEED HELP ASAP
Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0
1 year ago
5. I need help with question in the attached picture!
igomit [66]

ANSWER

x=100,y=10

EXPLANATION

The given logarithmic equations are;

log_{10}( {x}^{2}  {y}^{3} )  = 7

This implies that,

{x}^{2}  {y}^{3}  =  {10}^{7} ...(1)

and

log_{10}( \frac{x}{y} ) = 1

This implies that,

\frac{x}{y}  =  {10}^{1}

x = 10y...(2)

Put equation (2) into equation (1)

{(10y)}^{2}  {y}^{3}  =  {10}^{7}

10 ^{2} y^{2}  {y}^{3}  =  {10}^{7}

{y}^{5}  =  {10}^{5}

Hence y=10.

This implies

x = 10(10) = 100

3 0
3 years ago
Y =  7x +  3 <br> what is the X and Y intercepts
Neko [114]
To find the x intercept,plug a zero in for y and solve.
To find the y intercept,plug a zero in for x and solve.
y = 7x + 3
g = 7(0)+3
y = 3
(0,3)

y = 7x + 3
0 = 7x + 3
Subtract 3 from both sides.
-3 = 7x
Divide both sides by 7
-3/7 = x
(-3/7, 0)
3 0
3 years ago
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