MathMaster logo

MathMaster

  1. Home
  2. general
  3. a force of 750 pounds compresses a spring 3 inches from its natural length which is 15 inches what will be the work done t
Question

A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?

223

likes
1114 views

Answer to a math question A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?

Expert avatar
Jett
4.7
97 Answers
To determine the work done to compress the spring an additional 3 inches, we can utilize the formula for the elastic potential energy of a spring: U = 1/2 * k * x^2 where: U is the elastic potential energy (in inch-pounds) k is the spring constant (in pounds per inch) x is the compression or extension of the spring (in inches) We know that a force of 750 pounds compresses the spring 3 inches, so we can deduce the spring constant: 750 pounds = k * 3 inches k = 250 pounds per inch Now, let's calculate the work done to compress the spring an additional 3 inches (from 3 inches to 6 inches): U = 1/2 * 250 pounds per inch * (3 inches)^2 U = 1125 inch-pounds Therefore, the work done to compress the spring an additional 3 inches is 1125 inch-pounds.

Frequently asked questions (FAQs)
Math question: What is the equation of the reciprocal function whose graph passes through the point (2, 1/2)?
+
What is the resultant vector when adding vector A (magnitude 12, direction 40°) to vector B (magnitude 8, direction 120°)?
+
What is the measure of the median, altitude, and angle bisector of an equilateral triangle with side length 5 units?
+
New questions in Mathematics
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15
11(4x-9)= -319
Solve: −3(−2x+23)+12=6(−4x+9)+9.
Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.
How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?
132133333-33
Find the measures of the sides of ∆KPL and classify each triangle by its sides k (-2,-6), p (-4,0), l (3,-1)
Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?
Divide 22 by 5 solve it by array and an area model
Estimate the fifth term if the first term is 8 and the common ratio is -1/2
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
With the aim of identifying the presence of the feline leukemia virus (FeLV), blood samples were collected from cats sent to a private veterinary clinic in the city of Belo Horizonte. Among the animals treated, it was possible to observe that age followed a Normal distribution with a mean of 4.44 years and a standard deviation of 1.09 years. Considering this information, determine the value of the third quartile of the ages of the animals treated at this veterinary clinic. ATTENTION: Provide the answer to exactly FOUR decimal places
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two) au=a.(x,y)=(ax+a-1,ay-2a+2) It is known that this set with the operations defined above is a vector space. A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2 B) show that (0,0) #0 Suggestion find a vector W such that u+w=u C) who is the vector -u D) show that axiom A4 holds:-u+u=0
How to factorise 5y^2 -7y -52
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north
if y=1/w^2 yw=2-x; find dy/dx

You might be interested in