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kykrilka [37]
2 years ago
11

an empty density bottle weighed 23.5 and 48.4g when filled with water .The empty bottle was partially filled with sand until and

it weighed 36.5g water was added to the bottle of sand until it was completely filled it then weighed 56.5g determine the density of the sand, ( density of water = 1g/cm3)​
Physics
1 answer:
gavmur [86]2 years ago
8 0

Answer:

Density of Sand is 2.653g/cm^{3}.

Explanation:

Given Empty Density bottle weighs 23.5gm(W=23.5gm)

Weight of bottle when completely filled water=48.4gm

So amount of water required to fill the bottle=Weight of bottle filled with water-W

Amount of water required to fill the bottle(w_{max})=48.4gm-23.5gm

w_{max}=24.9g

Since we know density of water d_{w} =1g/cm^{3} and w_{max}

We can calculate volume of empty space in the bottle(V).

w_{max}=d_{w}\timesV

V=\frac{w_{max} }{d_{w} }

V=\frac{24.9}{1}

V=24.9 g/cm^{3}

Now bottle is partially filled with sand,and weight of bottle is (w_{s})36.5gm

So,

Amount of sand added (m_{s})=36.5-Weight of the bottle

m_{s}=13g

After filling the bottle with water again,the weight of the bottle becomes (W_{2}=56.5g)

Therefore,

amount of water added to the bottle of sand in grams = W_{2}-36.5gm

amount of water added =56.5g-36.5g

amount of water added =20g

As the density of water = 1g/cm^{3}

Amount of water (in grams )=Volume of water occupied

20=volume of water added

Therfore volume of water added to the sand filled bottle(V_{w})=20cm^{3}

As we know the total volume of the water bottle(V),

Volume of the sand occupied in the water bottle=V-V_{w}

V_{s}=24.9g-20g

V_{s}=4.9g

We know,

Density=Mass/Volume

Therefore,

density of sand = \frac{m_{s} }{V_{s} }

density of sand =\frac{13}{4.9}

density of sand = 2.653g/cm^{3}

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The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.

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At the top of hill, the velocity will become zero. So, final kinetic energy is zero.

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Two stones resembling diamonds are suspected of being fakes. To determine if the stones might be real, the mass and volume of ea
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So, to find which stone is gold we have to calculate the density of both the stone.

We know,

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What is the solution to the problem expressed to the correct number of significant figures?
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Answer:

73.72

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For this subtraction problem, the answer or solution is expressed to the least precise of the numbers we are trying to subtract.

The least precise number is the number with the lowest significant numbers:

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105.4  has 4 significant numbers

31.681 has 5 significant numbers

  So;

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        ------------------

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The solution is therefore  73.72

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