All categories

1 year ago

A ball bearing has mass 0.44 pounds. 1 kg = 2.2 pounds.

Mathematics

1 answer:

torisob [31]1 year ago

7 0

Answer:

(i) 0.2 kg

(ii) kg/cm³

(b) 2.29 kg

Step-by-step explanation:

This problem gives you relations between units, and the formulas for density and mass. It is asking you to make use of these relations in various mass and density calculations.

The relationship between kg and pounds can be used to write a units conversion multiplier. It will have numerator equal to denominator, but will have units such that multiplying by it will give the units you want.

0.44 pounds × multiplier = __ kg

0.44 pounds × (1 kg)/(2.2 pounds) = (0.44/2.2)(1 kg)

0.44 pounds = 0.2 kg

The formula can be used to find the units of interest:

Density = mass/volume

units of density = (units of mass)/(units of volume)

units of density = kg/cm³

Using the given formula with the given value of L, we find the volume to be ...

V = 4(1.40 cm)(3 -1.40 cm)² = 14.336 cm³

Then the mass is ...

mass = volume × density

mass = (14.336 cm³)×(0.160 kg)/(1 cm³) = 2.29376 kg

The mass is about 2.29 kg.

_____

<em>Additional comment</em>

Often you will see density in terms of kg/m³ or g/cm³. Water has a density of about 1 g/cm³ or 1000 kg/m³. The most dense non-radioactive element in the periodic table is osmium, with a density of about 22.6 g/cm³, or 0.0226 kg/cm³. The material in part (b) of this problem has a density about 7 times that, so is clearly not from Earth.

You might be interested in

What is the product in scientific notation?<br><br> (2.5 x 10-10)(7 x 10-6)

Alex

25,000,000,000)(7,000,000

7 0

3 years ago

Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%

storchak [24]

Jane must therefore deposit her savings in the four rivers bank.

<h3>What is compound interest?</h3>

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the data provided in the question,

Rate, r = 12%

After five years, the total amount, if Jane had saved at Mystic Bank,if Jane had saved at Mystic Bank would be:

$A = P(1+\frac{r}{100} )^n$

For compounded quarterly,

n = 5 × 4

n = 20

A = 40000(1 + 12/(4 × 100))²⁰

A = 72244.44 (i)

If Jane placed her savings with the Four Rivers, then,

A = 40000(1 + 14/(2 × 100))¹⁰

A = 40000 × 1.9671

A = 78686.054 (ii)

Therefore, it is evident that case (ii) is higher than case (i). Jane must therefore deposit her savings in the four rivers bank.

To know more about Compound Interest:

brainly.com/question/29335425

#SPJ1

6 0

6 months ago

Any one want to talk

Troyanec [42]

Sure, what do you want to talk about??

8 0

2 years ago

Read 2 more answers

Explain how you know the values of the digits in the number 58

AleksAgata [21]

The value of 5 is 50 because its in the tens place the value of 8 is 8 because its in the ones place.

6 0

2 years ago

a brand of cereal had 1.2 milligrams of iron per serving. then they changed their recipe so they had had 1.8 mg of iron per serv

olya-2409 [2.1K]

To get the percent of increase, we will follow these steps:
1- get the difference between the two numbers:
difference = 1.8 - 1.2 = 0.6
2- divide the difference from step one by the original number (the number before the increase) and then multiply the quotient by 100 to get the percent as follows:
% of increase = (0.6 / 1.2) * 100 = 50%

Based on the above calculations, the percent of increase in the amount of iron is 50%

3 0

2 years ago

Read 2 more answers

A ball bearing has mass 0.44 pounds. 1 kg = 2.2 pounds. ​

A ball bearing has mass 0.44 pounds. 1 kg = 2.2 pounds.