1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sholpan [36]
3 years ago
13

A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work is done in stretching it

from its natural length to 6 in. beyond its natural length?
Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

W = 15/4 ft . ib

Step-by-step explanation:

Force = 10ib

According to hooked law, f(x) = kx

x = 4inches = 4/12 ft

x= 1/3ft

f(x) = 1/3k

10 = 1/3k

k = 30 ib/ft

f(x) = 30x

Workdone = integral of f(x) with its limit

6 inches = 6/12 ft

= 1/2ft

W = integral(1/2 to 0) of 30x

W = 15x^2(1/2 to 0)

W = 15(1/2)^2 - 15(0)^2

W = 15(1/4) - 0

W = 15/4 ft. Ib

You might be interested in
Answer please lot's of points.
Svetlanka [38]

Answer:

t≈8.0927

Step-by-step explanation:

h(t) = -16t^2 + 128t +12

We want to find when h(t) is zero ( or when it hits the ground)

0 =  -16t^2 + 128t +12

Completing the square

Subtract 12 from each side

-12  =  -16t^2 + 128t

Divide each side by -16

-12/-16  =  -16/-16t^2 + 128/-16t

3/4 = t^2 -8t

Take the coefficient of t and divide it by 8

-8/2 = -4

Then square it

(-4) ^2 = 16

Add 16 to each side

16+3/4 = t^2 -8t+16

64/4 + 3/4= (t-4)^2

67/4 = (t-4)^2

Take the square root of each side

±sqrt(67/4) =sqrt( (t-4)^2)

±1/2sqrt(67) = (t-4)

Add 4 to each side

4 ±1/2sqrt(67) = t

The approximate values for t are

t≈-0.092676

t≈8.0927

The first is before the rocket is launched so the only valid answer is the second one

3 0
3 years ago
Read 2 more answers
A rectangular prism with a volume of
Fudgin [204]

Answer:I believe the answer is 12 because it takes 4, 1/4 unit cube to make 1 cubic unit so to make 3 cubic units you need 12, 1/4 unit cubes if that makes any sense. :) Please make Brainliest if this helped.

5 0
3 years ago
Read 2 more answers
FLIP OR NOT TO FLIP?<br> A. -4x + 2 &lt; -2<br> B. - 9&gt;-8<br> -7.
vivado [14]

Answer:

the answer is not flip because when u calculate it

5 0
3 years ago
Please help me!! You must be good in math.
ivolga24 [154]
It is SAS because
1) it is given that sides are equal (AB=CD)
2)it is also given that angles B and C are equal
3) BC is a common side so it is equal in both triangles.

answer: SAS
8 0
3 years ago
Mathematical expression
Over [174]
Answer: has no equal sign
7 0
3 years ago
Read 2 more answers
Other questions:
  • If f(x) is a continuous function defined for all real numbers, f(–10) = –2, f(–8) = 5, and f(x) = 0 for one and only one value o
    7·1 answer
  • Question is in a screenshot
    9·2 answers
  • HELLLLPPPPP!!!! DUE TODAY
    6·1 answer
  • how much greater is the supplement of a 35-degree angle than the measure of the complement of a 35-degree angle?
    7·1 answer
  • Can someone help asap​
    12·2 answers
  • I need help can you help me please
    5·2 answers
  • If Hector is 8 years old and Mary is 3 years old how old will Mary be when Hector is 16
    5·1 answer
  • Logan and her friend went out to dinner and spent $18.50. They left a tip of $2.59.
    6·1 answer
  • In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.
    9·1 answer
  • The mean score for all NBA games during a particular season was less than 92 points per game. Write the null and alternative hyp
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!