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larisa [96]
3 years ago
7

Two spherical shells have their mass uniformly distrubuted over the spherical surface. One of the shells has a diameter of 2 met

ers and a mass of 1 kilogram. The other shell has a diameter of 1 meter. What must the mass m of the 1-meter shell be for both shells to have the same moment of inertia about their centers of mass?
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
The moment of inertia of a spherical shell is I = mr²

If two spheres have the same moment of inertia, then
I₁ = I₂
m₁(r₁)² = m₂(r₂)²

Solve for the second mass:
m₂ = m₁ (r₁/r₂)²

Given m₁ = 1 kg, r₁ = 2 m, r₂ = 1m,
m₂ = (1 kg) (2 m / 1 m)² = 4 kg

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Daniel makes 100 dollars each week. He worked for a weeks this summer.
Digiron [165]

Answer:

the number of weeks is unknown the A represents the number of weeks so the answer is 100a

7 0
3 years ago
The perimeter of a square room is 24 m. What is the cost of flooring the room with redwood if the cost is $15.00 per square mete
svetlana [45]

Answer:

$360.00 for the whole room

Step-by-step explanation:

5 0
3 years ago
In a sample of n = 6 scores, 5 of the scores are each above the mean by one point. Where is the 6th score located relative to th
den301095 [7]

The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

\bar x \to<em> Mean</em>

a \to<em> 5 scores</em>

b \to<em> 6th scores</em>

Given that:

n = 6

The 5 scores that are 1 above the mean implies that:

a = \bar x + 1

The mean of a dataset is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x =\frac{5a + b}{6}

\bar x =\frac{5(\bar x + 1) + b}{6}

Open brackets

\bar x =\frac{5\bar x + 5 + b}{6}

Multiply both sides by 6

6\bar x =5\bar x + 5 + b

Make b the subject

b = 6\bar x -5\bar x - 5

b = \bar x - 5

This means that the 6th score is 5 points below the mean

Read more about mean at:

brainly.com/question/17060266

3 0
2 years ago
Is the point (5,-1) a solution of y=2x-11
Nataly [62]

if the given point satisfies this equation then it would be its solution

(-1)=2(5)-11

-1=10-1

-1=-1

lHS=RHS

Hence (/,-1) is the solution of y=2x-11

3 0
3 years ago
Graph the line with slope 2 passing through the point (1, -3).
Pepsi [2]

Answer:

2x-5=y

I'm not sure how your graphing tool works so I'll give you five or so coordinates

(-1,-7)

(1,-3)

(0,-5)

(2,-1)

(-2,-9)

Step-by-step explanation:

You first need to write an equation that you can graph

Knowing that the slope is two we can write the following equation

2x+b=y

We also know that when x=1 y=-3

This gives us 2*1+b=-3

which means that 2+b=-3

subtract 2 from both sides to figure out the b=-3

This means that the line you have to graph is 2x-5=y

4 0
2 years ago
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