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Marina86 [1]
2 years ago
12

A foil boat measures 4.0cm by 5.0cm and has a mass of 100.0g. If you put the boat in water, how far will it sink? (Recall the de

nsity of water is 1.0 g/mL) (answer with a number; units are cm)
Chemistry
1 answer:
xxMikexx [17]2 years ago
5 0

Answer:

Let the volume of the block of wood be

V

c

m

3

and its density be

d

w

g

c

m

−

3

So the weight of the block

=

V

d

w

g

dyne, where g is the acceleration due to gravity

=

980

c

m

s

−

2

The block floats in liquid of density

0.8

g

c

m

−

3

with

1

4

t

h

of its volume submerged.So the upward buoyant force acting on the block is the weight of displaced liquid

=

1

4

V

×

0.8

×

g

dyne.

Hence by cindition of floatation

V

×

d

w

×

g

=

1

4

×

V

×

0.8

×

g

⇒

d

w

=

0.2

g

c

m

-3

,

Now let the density of oil be

d

o

g

c

m

-3

The block floats in oil with 60% of its volume submerged.So the buoyant force balancing the weight of the block is the weight of displaced oil =

60

%

×

V

×

d

o

×

g

dyne

Now applying the condition of floatation we get

60

%

×

V

×

d

o

×

g

=

V

×

d

w

×

g

⇒

60

100

×

V

×

d

o

×

g

=

V

×

0.2

×

g

⇒

d

o

=

0.2

×

10

6

=

1

3

=

0.33

g

c

m

−

3

Explanation:

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An object has a mass of 0.0124kg and a volume of 1893mm3. What is its density in grams per cubic centimeter?
anyanavicka [17]

Answer:

6.25×10⁻⁶ g / cm³

Explanation:

Density is the relation between mass and volume as this formula shows.

Density of a compound = Mass of the compound / Volume of compound

In the values, we were given:

0.0124 kg / 1983 mm³ = 6.25×10⁻⁶ kg/mm³

This number means that in a volume of 1 mm³ of compound, the mass of it occupies 6.25×10⁻⁶ kg. Let's make a rule of three:

1 cm³ = 1×10⁻³ mm³

In 1 mm³ we have 6.25×10⁻⁶ kg of compound

So in 1×10⁻³ mm³ we would have (1×10⁻³ mm³ . 6.25×10⁻⁶ kg) / 1 mm³ =

6.25×10⁻⁹ kg

Now let's convert the kg to g.

1 kg  = 1000 g

6.25×10⁻⁹ kg . 1000 = 6.25×10⁻⁶ g

Finally density is : 6.25×10⁻⁶ g / cm³

5 0
3 years ago
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omeli [17]

Answer:

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Explanation:

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3 0
4 years ago
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Aleksandr [31]

Answer:

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Explanation:

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