Downward forces of 45.0 N and 15.0 N, respectively, are required to keep a plastic block totally immersed in water and in oil. If the volume of the block is 8000 cm³, find the density of the oil. Ans. 620 kg/m³​

Answers

Answer 1

The density of the oil is 620 kg/m³.

Density is a measure of how much mass is contained in a given volume of a substance. It is defined as the mass of a substance per unit volume. The formula for density is:

Density = Mass / Volume

The units of density are typically kilograms per cubic meter (kg/m³) in the SI system, or grams per cubic centimeter (g/cm³) in the CGS system. Density is an important physical property of a substance, as it can be used to identify and distinguish different materials. It also plays a role in many scientific and engineering applications, such as calculating the buoyant force acting on an object submerged in a fluid, or determining the strength and durability of a material.

The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. This can be expressed mathematically as:

Buoyant force = Weight of fluid displaced

We can use this relationship to solve the problem. Let's start by finding the weight of the plastic block. We know that the downward force required to keep the block fully immersed in water is 45.0 N. This is equal to the weight of the block plus the weight of the water displaced by the block. Since the block is fully immersed in water, the volume of water displaced is equal to the volume of the block, which is 8000 cm³. We can use the density of water, which is 1000 kg/m³, to find the weight of the water displaced:

Weight of water displaced = density of water × volume of water displaced × gravitational acceleration

= 1000 kg/m³ × 0.008 m³ × 9.81 m/s²

= 78.48 N

Therefore, the weight of the plastic block is:

Weight of plastic block = 45.0 N - 78.48 N

= -33.48 N

The negative sign indicates that the buoyant force acting on the block in water is greater than the weight of the block. This makes sense since the block is floating in water.

Now let's find the weight of the oil displaced by the block. We know that the downward force required to keep the block fully immersed in oil is 15.0 N. This is equal to the weight of the block plus the weight of the oil displaced by the block. Again, the volume of oil displaced is equal to the volume of the block, which is 8000 cm³. Let's denote the density of the oil as ρ. Then we can write:

Weight of oil displaced = ρ × volume of oil displaced × gravitational acceleration

= ρ × 0.008 m³ × 9.81 m/s²

Therefore, the weight of the plastic block is:

Weight of plastic block = 15.0 N - ρ × 0.008 m³ × 9.81 m/s²

Since we already know that the weight of the plastic block is -33.48 N, we can write:

-33.48 N = 15.0 N - ρ × 0.008 m³ × 9.81 m/s²

Solving for ρ, we get:

ρ = (15.0 N + 33.48 N) / (0.008 m³ × 9.81 m/s²)

= 620 kg/m³

Therefore, the density of the oil is 620 kg/m³.

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Related Questions

A 2 kg ball is thrown down with 50J of energy from a height of 10m, what is its velocity before it strikes the ground (neglect air resistance).

Answers

Answer:

V=14

Explanation:

PE=KE

mgh=1/2mv^2

(2)(9.8)(10)=1/2(2)v^2

(radical) 196=(radical) v

V=14

PLS ANSWER FAST TIMED TEST WILL GIVE BRAINLY!!!!!!!!!


True or False?
It is easier to carry an empty backpack than a backpack full of books. This is an example of Newton’s 2nd law.

Answers

the answer would be true

Answer:

The answer iis true

Explanation:

It is much easier to carry your backpack when it is empty rather than when it's full of textbooks (or soaked from the rain).

The electromagnetic spectrum is divided into regions by Group of answer choices a.wavelengths and frequencies b.the way they are used c.speed d.colors

Answers

Answer:

Generally, by wavelengths and frequencies.

Colors only occur for a narrow portion of the spectrum.

The speed for these waves is c the speed of light regardless of wavelength.

The way they are used seems somewhat irrelevant.

The electromagnetic spectrum is divided into regions by wavelengths and frequencies. The spectrum is arranged in the order of increasing frequency.

What is electromagnetic spectrum ?

The electromagnetic spectrum is the arrangement of waves in  the  order increasing frequency or decreasing wavelength. The order of the spectra starts from radio waves, microwaves, infrared, visible light, ultraviolet, x -rays and gamma rays.

The visible light that we can see is in between IR and UV rays. Hence, visible light has a frequency greater than IR rays but shorter than IR. Similarly visible light is longer than UV- rays but less frequency than UV rays.

Gamma  rays are the most energetic and shorter waves in the electromagnetic spectrum with smaller wavelength and greater frequency. Hence, options a is correct.

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1:What kind of energy does your body use to keep you warm.
2: What are two examples of something that stores chemical energy
3: All forms of energy can be transferred into what?
4: When energy changes from one type to another, this is called what?
5: Friction created by a car tire rubbing on a road creates what energy transportation? {blank} energy into {blank energy}
6: What type of energy transformation occurs when oil is used to heat a home? {blank} energy into {blank} energy? ( this is due today and it would really help me out if you could help me)

Answers

Answer:

1. thermal energy

2. Batteries and coal

4. energy conversion

write any four importance of pressure​

Answers

Answer:

Here is your ans

Explanation:

hope it helps you tq

If a girl walks 6km due west changes directions and walk another 5km due north. Find her displacement in both magnitude and direction

Answers

Answer:

the girl's displacement in both magnitude and direction is 7.81 m at 50.2⁰ North west.

Explanation:

Given;

6km due west, and

5km due north

The magnitude of her displacement is calculated by forming a right angled triangle. The hypotenuse side of the triangle is the girl's displacement.

d² = 5² + 6²

d² = 25 + 36

d² = 61

d = √61

d = 7.81 m

The direction of the girl is calculated as;

[tex]tan \ \theta = \frac{6}{5} \\\\tan \ \theta = 1.2\\\\\theta = tan^{-1} (1.2)\\\\\theta = 50.2^0[/tex]

Therefore, the girl's displacement in both magnitude and direction is 7.81 m at 50.2⁰ North west.

The equation below represents the process that you observed. Balance the equation. What type of reaction?
6CO2 + 6H2O + light energy = 0C6H12O6 + 6O2 _______________________

Answers

That looks like photosynthesis to me and I think that should be an endothermic reaction because it requires energy.

14. If 100 grams of sodium nitrate are dissolved in 100 grams of water
at 60 degrees C, is the solution formed saturated, unsaturated, or
supersaturated?

Answers

Answer:

Unsaturated

Explanation:

the solubility of sodium nitrate is at 60 C is 124g/ml therefore, putting 100 grams will not saturate fully.

Electric field strength of a point charge is E. What is the electric potential at a point where electric field will be E/4?

Answers

Answer:

Explanation:

We shall find first the distance where electric field is E/4 .

Let the charge be Q and distance be d where electric field is E . From the coulomb's Law

E = k Q / d²

Let distance be d₁ where field is E/4

E/4 = kQ / d₁²

Dividing the two equation

4 = d₁² / d²

d₁ = 2d

We shall have to find Potential at d₁ which is equal to 2 d .

Potential at d₁

V = k Q / 2d

= kQ d / 2d²

= E d / 2 . where d is distance of the point where field is E .

state and explain the joules law​

Answers

Answer:

Joule’s law of heating states that when a current ‘i ' passes through a conductor of resistance ‘r’ for time ‘t’ then the heat developed in the conductor is equal to the product of the square of the current, the resistance and time.

H = i 2 rt

The reason behind the heat produced is the collision of the free electrons with the lattice ions or atoms while accelerating in presence of the external electric field.

we know that

volt= work done/ total charge or v = w/q

from this we get w= vq

we know that current i = q / t

so q = it

putting this in prev equation

we get w = vit

from ohms law v = ir

putting it in prev eq we get

w = irit = i2rt joule as work is stored as heat soH = I2RT Joules

if a current carrying conductor having resistance (r) gets heated by to passing of current (i) for time (t) and the heat thereby produced be H

joules law states that

H propotional to i^ 2 when r and t are constant

H propotional to r when I and t are constant

H propotional to t when r and I constant

3. Gather data: Use the values above to fill in the first row of the table. Then run your own experiments to fill
in the last two rows.
f
d.
d,
h.
h,
ร”
S
d
de
2.0
h;
h.
2.0
s.
2.0
S
f
2.0
15
10
30

Answers

Answer:

urjshsus uevus e survey dydvd dydvdyd d dgdv gdyr yrgdvv yth yrhvthr

Explanation:

ydgdydvd yd dv ydvr dyve dysdvdyr gdvr

On planet Q, g = 2.24 m/s2. If the mass of planet Q is 8.96
1021 kg, what is the radius of planet Q?(G = 6.67 * 10-11 N
(m/kg))
a
8.95 x 1032 m
b 5.17 x 10 m
C 1.26 108 m
d 9.23 x 1024 m
e
4.72 x 106 m

Answers

Answer:

5.17 x 10^5

Explanation

The correct answer is (b) [tex]5.17*10^{5}m[/tex]

Let us consider an object of mass m on the planet Q.

On planet Q, let the acceleration due to gravity be g = 2.24 m/[tex]s^{2}[/tex]

Mass of the planet is M = [tex]8.96*10^{21} kg[/tex]

Let its radius be R

and the universal gravitational constant G = [tex]6.67*10^{-11} m/kg[/tex]

Gravitational Force acting on the object:

[tex]mg=\frac{GMm}{R^{2} }[/tex]

[tex]R=\sqrt{\frac{GM}{g} } \\R=\sqrt{\frac{6.67*10^{-11}*8.96*10^{21} }{2.24} }\\R=5.17*10^{5} m[/tex] is the radius of the planet Q.

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A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is her acceleration? Is the acceleration higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds? How do you know?

Answers

Answer:

Acceleration of one cyclist=[tex]2.67m/s^2[/tex]

Yes, the acceleration is higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds.

Explanation:

We are given that

Initial velocity of one cyclist, u=0 m/s

Final velocity of one cyclist, v=8m/s

Time, t=3 s

Initial velocity of another cyclist, u'=0

Final velocity of another cyclist, v'=30m/s

Time, t'=8 s

We know that

Acceleration, [tex]a=\frac{v-u}{t}[/tex]

Using the formula

[tex]a=\frac{8-0}{3}=\frac{8}{3}=2.67m/s^2[/tex]

Acceleration of one cyclist=[tex]2.67m/s^2[/tex]

Acceleration of another cyclist, a'=[tex]\frac{30-0}{8}m/s^2[/tex]

Acceleration of another cyclist, a'=[tex]3.75m/s^2[/tex]

Yes, the acceleration of another cyclist is higher than the cyclist which accelerates from 0m/s to 8m/s.

An 6 kg object accelerating from 17 m/s to 10 m/s. What is the change in momentum of the object?

Answers

Answer:

- 42

Explanation:

m = 6kg

vi = 17 m/s

vf = 10 m/s

delta mv = ?

Formula

delta mv = m*(vf) - m(vi)

delta mv = 6(10 - 17)

delta mv = 6(-7)

delta mv = - 42 kg m/s


The unit of power of a lens is.
(a) Metre
(b) Dyne
(c) Dioptre​

Answers

Answer:

c. dioptre that's the answer.

C that’s the answer

PLEASE HELP ME!!!! i will give brainliest to whoever gets it right

Answers

Answer:

I believe the answer is B.)

Explain how is the voltage across a resistor measured?

Answers

Answer:

You take the basic formula of E = I x R, solve for R -> R = E / I. In other words, take the required voltage drop (in volts) and divide by the current (in amps) in the resistor and determine the resistance (R) in ohms.

Explanation: hope this helps

a dolphin that just manage to keep up with a speeding boat for a distance of 2km for a period of 3h in (answer in km/h)​

Answers

Answer:

6km

Explanation:

3hours X 2km = 6 kilometres

Discuss how the motion of the stunt cyclist relates to the forces acting on the stunt cyclist during the collision

Answers

Answer:

hello your question is incomplete hence I will give you a general answer on how a stunt cyclist performs his stunts successfully

answer ;

The stunt cyclist trying to perform some sort of stunt with the bicycle will be faced with some forces like the static fiction between the tires of the bicycle and wall and also a centripetal force.

In order to overcome the centripetal force the minimal grip of the bicycle must be equal to the weight and the speed at which the cyclist must go can be represented as :

[tex]V_{min} = \sqrt{\frac{r.g}{u} }[/tex]

Explanation:

The stunt cyclist trying to perform some sort of stunt with the bicycle will be faced with some forces like the static fiction between the tires of the bicycle and wall and also a centripetal force.

In order to overcome the centripetal force the minimal grip of the bicycle must be equal to the weight and the speed at which the cyclist must go can be represented as :

[tex]V_{min} = \sqrt{\frac{r.g}{u} }[/tex]

where ; r = radius of the tunnel where the stunt is to be performed

            g = gravitational speed

            u = coefficient of static friction

A 2 kg ball is thrown down with 50J of energy from a height of 10m, what is its velocity before it strikes the ground (neglect air resistance)

Answers

Answer:

Explanation:

Given the following data;

Mass = 2kg

Energy = 50J

Height = 10m

To find the speed

Kinetic energy can be defined as the energy possessed by a body due to its motion.

K.E = ½mv²

Substituting into the equation, we have;

50 = ½*2*v²

V² = 50

Taking the square root of both sides, we have;

V = 7.07m/s

One can expect good quality produce if proper attention is given to the proper
selection of planting materials. TRUE or FALSE ?

Answers

Answer:

True.

Explanation:

One can expect good quality produce if proper attention is given to the proper selection of planting materials.

The dog has ran 100 meters in 20 seconds and then 300 meters in 25 seconds what was the average speed of the dog over the entire time it was running

Answers

Explanation:

the speed of the dog was 400

The change in frequency of a wave as its source moves in relation to an observer.
A)
Ultrasound
B)
Frequency
C)
Doppler Effect
D)
Echo

Answers

Answer: B) Frequency

Explanation:

What is the net force in this image?


a
8000 N right
b
5000 N right
c
4000 N right
d
4000 N left
e
5000 N left
f
8000 N left

Answers

Answer:

4000N left

Explanation:

6000N-1000N-1000N

6000N-2000N

8000N

Why is the overall charge of the atom neutral or zero?
A. The zero charge on the neutrons in the nucleus create a neutral atom.

B. The number of protons is equal to the number of electrons

C. Equal numbers of neutrons, protons, and electrons work together to keep the charge of the atom neutral or zero.

D. Atoms are not electrical and therefore have no charge.

Answers

Answer:

B

Explanation:

this is because the neutrons do not have a charge, the things that have charge in an atom are electrons and protons.

and in the nucleus of an atom, there are protons and neutrons so you can see that A is not the answer

if you see the periodic table, you will know that the number of electrons and protons are equal, so the charges cancel each other out, hence the charge of an atom will be neutral

let me give you a tip which I got from my teacher, never write there is no charge in the atom, this suggests that there is no protons or electrons.

instead, write, the it is neutral

hope it helps if not please report it so that someone else gets to try it out

The electrostatic force between two charged metal spheres is 2N. If the charge on each sphere is doubled, what is the new force between the spheres?

Question 2 options:
A. 2N
B. 4N
C. 1N
D. 8

Answers

Answer:

8 N

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]

Where

k is electrostatic constant

d is the distance between two charges

It means,

[tex]F\propto \dfrac{1}{d^2}[/tex]

When the distance is d, the force is 2 N. If the charge on each sphere is doubled, q₁' = q₂' = 2q₁ = 2q₂. New force will becomes:

[tex]F'=\dfrac{kq_1'q_2'}{d^2}\\\\F'=\dfrac{k2q_1\times 2q_2}{d^2}\\\\F'=4\times \dfrac{kq_1q_2}{d^2}\\\\F'=4\times 2\\\\F'=8\ N[/tex]

So, the new force becomes 8N. Hence, the correct option is (d).

Which of the following is a compound that would
be the most soluble in water? (DOK 2)
O A nitrogen triargonide
O B. carbon tetrachloride
O C. lithium fluoride
O D. magnesium disulfide

Answers

Lithium fluoride will be most soluble in water because it is most strongly ionic.

What is solubility?

Solubility is the amount of a substance that dissolves in a given volume of solvent at a particular temperature.

Solubility is affected by:

nature of substance: ionic substances are more soluble nature of solvent: polar solvents dissolves polar distance while non-polar solvents dissolve non-polar substances.temperature: solutesdissolve more at higher temperature

Water is a polar molecule.

Lithium fluoride will be most soluble in water because it is most strongly ionic.

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what's 4 x 5
i need help with this question please

Answers

4 x 5 is equal to 20. Use a calculator it’s way faster :))

Answer:

4 × 5 = 5 + 5 + 5 + 5 = 20

Explanation:

Pick one factor and add it.

PLS HELP. PLEASE. What is the role of DNA in determining an organism’s traits?
Answer using these words: DNA, chromosome, gene, allele, dominant, recessive

Answers

Answer:

DNA contains the instructions needed for an organism to develop, survive and reproduce. To carry out these functions, DNA sequences must be converted into messages that can be used to produce proteins, which are the complex molecules that do most of the work in our bodies

manganese dioxide is used in the dry cell as​

Answers

Answer:

Electrolytic manganese dioxide (EMD) is used in zinc-carbon batteries together with zinc chloride and ammonium chloride. EMD is commonly used in zinc manganese dioxide rechargeable alkaline (Zn RAM) cells also. For these applications, purity is extremely important.

Explanation:

hope this helps...

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