$MathMaster logo$

MathMaster

Home
general
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?

$Expert avatar$

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)

What is the limit as x approaches 2 of (3x^2 - 8x + 5)/(x^2 - 4)?

+

What is the square root of 25, 36, 49, 64, and 81?

+

What is the sum of 67, 89, and 146 divided by the product of 11 and 5?

+

New questions in Mathematics

Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5

Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?

what is 9% of 307

Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:

If L (-2, -5) reflected across y = -4. What are the coordinates of L?

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .

Analyze the following situation Juan is starting a new business, he indicates that the price of his product corresponds to p=6000−4x , where x represent the number of tons produced and sold and p It is given in dollars. According to the previous information, what is the maximum income that Juan can obtain with his new product?

4x/2+5x-3/6=7/8-1/4-x

In a order to compare the means of two populations, independent random samples of 410 observations are selected from each population, with Sample 1 the results found in the table to the right. Complete parts a through e below. X1 = 5,319 S1= 143 a. Use a 95% confidence interval to estimate the difference between the population means (H - H2) Interpret the contidence interval. The contidence interval IS (Round to one decimal place as needed.) Sample 2 X2 = 5,285 S2 = 198 Aa. Use a 95% confidence interval to estimate the difference between the population means (A1 - M2) Interpret the contidence interval. The contidence interval Is (Round to one decimal place as needed.) b. Test the null hypothesis Ho versus alternative hypothesis Ha (H What is the test statistic? H2) + Give the significance level of the test, and interpret the result. Use a = 0.05. Z=

The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .

The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?

factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30

A house located within the city limits has a current market value of $325,000 according to a recent appraisal. The assessed value from the last county wide tax valuation is $272,475. The tax rate is $0.36 per hundred for the county and $0.72 per hundred for the city. What is the total annual property tax liability on the property? $2340 $3510 $1962 $2943

Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.

The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?