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PolarNik [594]
3 years ago
13

What % of an object’s mass is below the water line if the object’s density is 0.63g/ml?

Physics
1 answer:
tiny-mole [99]3 years ago
5 0

<u>Answer:</u>


According to the <u>Archimedes’ Principle</u>, <em>a body totally or partially immersed in a fluid at rest, experiences a vertical upward thrust equal to the mass weight of the body volume that is displaced.</em>


In this case we have an object partially immersed in water.


If we observe in <u>the image attached</u>, this object does not completely fall to the bottom because the net force acting on it is zero, this means <u>it is in equilibrium</u>.



This is due to <u>Newton’s first law of motion:</u> if a body is in equilibrium the sum of all the forces acting on it is equal to zero


F_{total}=0    (1)



Here, <u>the object experiences two kind of forces</u>:


A force downwards because of its weight:


<h2>W=mg  (2) </h2>

Where m is the mass of the object and g the acceleration of gravity, which in this case (on earth) is 9.8\frac{m}{s^{2}}



And a force applied upwards because of the buoyancy:


<h2>F_{buoyancy}=d_{w}gV_{i}   (3) </h2>

Where;


d_{w} is the <u>density of Water</u> which is 1\frac{g}{ml}  

And V_{i} is <u>the volume of the immersed part of the object</u>



Well, if the total net force exerted to the object is zero:


F_{total}= F_{buoyancy}-W=0    Note W has a negative sign because this force is applied downwards  


This means the buoyancy is equal to the weight:


<h2>F_{buoyancy}=W    (4) </h2>

d_{w}gV_{i}=mg    (5)


Dividing by   g in both sides:


d_{w}V_{i}=m    (6)



Now, <u>the density</u> of an object or fluid is the relation between the mass and the volume, in the case of the object of this problem is:



<h2>d=\frac{m}{V}    (7) </h2>

Where V is the <u>Volume of the object</u>.



From (7) we can find the mass of the object:


<h2>m=dV    (8) </h2>

and substitute this value in (6), in order to get a relation between the density of the object and the density of the water, as follows:


d_{w}V_{i}= dV    



\frac{V_{i}}{V} =\frac{d}{ d_{w}}    (9)



<h2>\frac{V_{i}}{V}=\frac{d}{d_{w}}=\frac{0.63g/ml}{1g/ml}  </h2><h2 />

Then;


<h2>\frac{0.63g/ml}{1g/ml}=0.63  </h2><h2 />

This result is the same as \frac{63}{100} which represents the 63\%



Therefore the answer is:


<h2>63\% of the mass of the object is below the water line  or <u>immersed in water </u></h2>

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i = 4.9 A

Explanation:

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They indicate the linear density of the cable λ = 0.2 kg / m

           λ = m / L

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we substitute

           i B = λ g

           i = \frac{ \lambda \ g}{B}

let's calculate

          i = 0.2 9.8 / 0.4

          i = 4.9 A

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prisoha [69]
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Which of the following would be used in luminosity calculations?
Daniel [21]

Answer:

1) joule

2) kgm^{2}/s^{2}

3) 10\%

Explanation:

1) Luminosity is the <u>amount of light emitted</u> (measured in Joule) by an object in a unit of<u> time</u> (measured in seconds). Hence in SI units luminosity is expressed as joules per second (\frac{J}{s}), which is equal to Watts (W).

This amount of light emitted is also called radiated electromagnetic power, and when this is measured in relation with time, the result is also called radiant power emitted by a light-emitting object.

Therefore, if we want to calculate luminosity the Joule as a unit will be used.

2) Work W is expressed as force  F multiplied by the distane  d :

W=F.d

Where force has units of  kgm/s^{2} and distance units of m.

If we input the units we will have:

W=(kgm/s^{2})(m)

W=kgm^{2}/s^{2}  This is 1Joule (1 J) in the SI system, which is also equal to 1 Nm

3) The formula to calculate the percent error is:

\% error=\frac{|V_{exp}-V_{acc}|}{V_{acc}} 100\%

Where:

V_{exp}=7.34 (10)^{-11} Nm^{2}/kg^{2} is the experimental value

V_{acc}=6.67 (10)^{-11} Nm^{2}/kg^{2} is the accepted value

\% error=\frac{|7.34 (10)^{-11} Nm^{2}/kg^{2}-6.67 (10)^{-11} Nm^{2}/kg^{2}|}{6.67 (10)^{-11} Nm^{2}/kg^{2}} 100\%

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3 years ago
When you drop a pebble into a pond, the energy from the pebble acts on the water and causes waves. What is the wave?
Art [367]

Answer:

A, The water moving away

Explanation:

When the pebble hits the water the surface tension breaks causing the water to separate away and make a ripple in the water.

3 0
2 years ago
Read 2 more answers
NEED HELP ASAP
Dafna11 [192]

Answers:

a) -2.54 m/s

b) -2351.25 J

Explanation:

This problem can be solved by the <u>Conservation of Momentum principle</u>, which establishes that the initial momentum p_{o} must be equal to the final momentum p_{f}:  

p_{o}=p_{f} (1)  

Where:  

p_{o}=m_{1} V_{o} + m_{2} U_{o} (2)  

p_{f}=(m_{1} + m_{2}) V_{f} (3)

m_{1}=110 kg is the mass of the first football player

V{o}=-7 m/s is the velocity of the first football player (to the south)

m_{2}=75 kg  is the mass of the second football player

U_{o}=4 m/s is the velocity of the second football player (to the north)

V_{f} is the final velocity of both football players

With this in mind, let's begin with the answers:

a) Velocity of the players just after the tackle

Substituting (2) and (3) in (1):

m_{1} V_{o} + m_{2} U_{o}=(m_{1} + m_{2}) V_{f} (4)  

Isolating V_{f}:

V_{f}=\frac{m_{1} V_{o} + m_{2} U_{o}}{m_{1} + m_{2}} (5)

V_{f}=\frac{(110 kg)(-7 m/s) + (75 kg) (4 m/s)}{110 kg + 75 kg} (6)

V_{f}=-2.54 m/s (7) The negative sign indicates the direction of the final velocity, to the south

b) Decrease in kinetic energy of the 110kg player

The change in Kinetic energy \Delta K is defined as:

\Delta K=\frac{1}{2} m_{1}V_{f}^{2} - \frac{1}{2} m_{1}V_{o}^{2} (8)

Simplifying:

\Delta K=\frac{1}{2} m_{1}(V_{f}^{2} - V_{o}^{2}) (9)

\Delta K=\frac{1}{2} 110 kg((-2.5 m/s)^{2} - (-7 m/s)^{2}) (10)

Finally:

\Delta K=-2351.25 J (10) Where the minus sign indicates the player's kinetic energy has decreased due to the perfectly inelastic collision

6 0
3 years ago
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