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
A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What
8_murik_8 [283]

Answer:

the volume of sand is 50 ft^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

Length  l= 4 ft Width w= 5ft\\Height h = 3ft

if the sandbox is filled with sand of 2\frac{1}{2 } ft deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have 2\frac{1}{2} = \frac{5}{2}

the expression for the volume of a rectangular prism is

volume of sand = length * width* height

substituting our data into the expression we have

volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}

5 0
2 years ago
Each unit costs 14p how much does942 cost???????????????????????????????????????????????????????????????????????????????????????
Fynjy0 [20]

Answer:

13188

Step-by-step explanation:


7 0
3 years ago
The area of a rectangle is (27x5 + 9x4 - 18x3) square feet. The width of the rectangle is 9x2 feet. What is the length of the re
Yuliya22 [10]
If the width is 9x², then the length is 27x^5+9x^4-18x^3/9x², which equals 3x³+x²+2x. ☺☺☺☺
8 0
2 years ago
Read 2 more answers
Which system of equations does this graph represent?
jeyben [28]

Answer:

1

Step-by-step explanation:

First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,

where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.

Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.

7 0
2 years ago
Plz help!!!!!!!!!
masha68 [24]

Answer:

The third angle is 65°.

7 0
3 years ago
Read 2 more answers
Other questions:
  • If x equals 3 calculate the value of 2x squared plus x
    6·2 answers
  • The first term of a geometric sequence is 3 and the multiplier, or ratio, is 2. What is the sum of the first 6 terms of the sequ
    7·1 answer
  • What are the possible dimensions for a rectangle with 12 square feet?
    11·1 answer
  • What’s the estimate of345,245+567,321
    9·1 answer
  • solve the following inequality. Then click on the graph until the correct one is displayed. y ≥ |x - 1|
    12·1 answer
  • A rectangular park is 150 yards on one side and 125 yards on the other.
    6·1 answer
  • Simplify 16-3(8-3)^2÷5
    15·2 answers
  • Select the correct answer from the drop-down menu consider circle C with diameter DE
    5·1 answer
  • The price of admission to a World War I history museum is $8.29 for adults and $6.47 for children. A family of 2 adults and 4 ch
    7·1 answer
  • Calculate the side lengths of the given scale.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!