An object of mass 500 g and density 0.8 g/cm³ is immersed in a liquid of density 1.2 g/cm³. What is the volume of the object that remains outside the liquid?

Name: Solved: An object of mass 500 g and density 0.8 g/cm³ is immersed in a liquid of density 1.2 g/cm³. What is the volume of the object that remains outside the liquid? - MathMaster
Brand: MathMaster
Rating: 4.9 (207 reviews)

207

likes

1036 views

Answer to a math question An object of mass 500 g and density 0.8 g/cm³ is immersed in a liquid of density 1.2 g/cm³. What is the volume of the object that remains outside the liquid?

$Expert avatar$

Gene

4.5

108 Answers

Para encontrar el volumen del objeto que queda fuera del líquido, primero debemos determinar el volumen del objeto y luego restar el volumen de la porción que está sumergida en el líquido. Denotemos: - m como la masa del objeto (500 g) - ho_o como densidad del objeto (0,8 g/cm³) - ho_l como densidad del líquido (1,2 g/cm³) - V_o como volumen del objeto (por determinar) - V_s como el volumen de la porción del objeto sumergida en el líquido Sabemos que la densidad ho se define como ho = m/v A partir de esto, podemos reorganizar la ecuación para resolver el volumen: V = m/ho Para el objeto: V_o = m/ho_o Vo = 500/0,8 Vo = 625 cm ^ 3 Ahora, para encontrar el volumen de la porción sumergida en el líquido, podemos utilizar el hecho de que la masa del líquido desplazado es igual a la masa del objeto sumergido: m_desplazamiento = m_ objeto sumergido ho_l *V_s = m Podemos resolver para V_s: V_s = m/ho_l V_s = 500/1,2 V_s=416,67cm^3 Finalmente, para encontrar el volumen del objeto que queda fuera del líquido, restamos el volumen sumergido al volumen total del objeto: Volumen fuera del líquido = V_o - V_s Volumen fuera del líquido = 625 - 416,67 Volumen exterior del líquido = 208,33 cm^3 Entonces, el volumen del objeto que queda fuera del líquido es aproximadamente 208,33 cm^3.

Frequently asked questions (FAQs)

What is the perimeter of a rectangle with length 10 and width 6?

What is the equation of the reciprocal/rational function that has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0?

Question: Find the value of y when x = √(r^2 - 25) in the circle with equation x^2 + y^2 = r^2.

New questions in Mathematics

CASE 6-1: PREPARE A PRODUCTION PLAN: WHAT PROBLEMS ARRIVE? Midwest Plastics Company has conducted profit planning for several years. The president stated (with justification) that inventory control and planning had not been satisfactory, which was mainly due to poor planning of production and inventory budgets. Please analyze and provide recommendations, in detail, on the issue regarding the 20B profit plan, which is now being prepared. Their analysis and recommendations will be presented to the executive committee. Despite the seasonality factor, the sales department has been successful in developing a sales plan, on a monthly basis, for each year. The following sales data is available for 20B. 1. Sales plan summary for 20B: 2. Finished goods inventory, as of January 1, 20B, is 96,000 units. 3. Work-in-process inventory will remain constant. 4. Actual annual sales in 20A, including the estimate for December, were 350,000 units. 5. The average finished goods inventory during 20A was 70,000 units. IT IS REQUESTED. 1. Prepare the annual production budget, assuming that management policy is to budget ending finished goods inventory at a standard quantity, based on the ratio of historical sales of 20A to inventory turnover. 2. Prepare a schedule showing sales, production, and inventory levels for each month, assuming: 1) stable inventory, 2) stable production, and 3) recommended inventory-production levels. In developing your recommendations, assume that the following policies have been established: a) The president has set the policy that a maximum inventory of 85,000 units and a minimum inventory of 75,000 units should be used, except in abnormal circumstances. b) A stable level of production is definitely preferred, except that during the holiday season in July and August, production may be reduced by 25 percent. Likewise, a variation in production of 7.5 percent above and below the average level is acceptable. 3. What are the main problems faced by the company in production planning? Make your general recommendations.

The sum of an infinite geometric series is 13,5 The sum of the same series, calculated from the third term is 1,5. Q. Calculate r if r>0.

Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?

A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed

In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?

7273736363-8

Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.