The tension in the string which supports the 5.0 kg cylinder of solid iron and submerged in water is 42.8 N.
What is tension in the string due to hanging weight?
Tension is the pulling force carried by the flexible mediums like ropes, cables and string. Tension in a body due to the weight of the hanging body is the net force acting on the body.
A 5. 0 kg cylinder of solid iron is supported by a string while submerged in water. The density of iron is 7860 kg/m3 and that of water is 1000 kg/m3.
The tension in string can be find out using the following formula,
[tex]T=mg\left(1-\dfrac{\rho_w}{\rho_i}\right)[/tex]
Here, m is the mass of solid, g is gravitational force, ρ is the density and subscript (w and i) is for water and iron respectively.
Put the values,
[tex]T=5\times9.81\left(1-\dfrac{1000}{7860}\right)\\T=42.8\rm\; N[/tex]
Thus, the tension in the string which supports the 5.0 kg cylinder of solid iron and submerged in water is 42.8 N.
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a vector has a magnitude of 355m and a direction of 30.0 degrees. What is the x component of the vector?
Answer:
307.44 m (whatever 'm' is)
Explanation:
355 * cos (30) = 307.44
Find the mass of a child who runs at a speed of 4 m/s to get a pizza with extra cheese. His momentum is 120 kg•m/s.
The first law of thermodynamics states that the change in the internal energy of a system is equal to the difference in energy transferred to or from the system as heat and —.
The change in the internal energy of a system is equal to the difference in energy transferred to or from the system as heat and work done.
What is work done?Work done is the energy needed or supplied to perform any task.
The first law of thermodynamics gives the relation between the heat and work done.
The heat added to a system is divide into two. One portion adds up heat to increase the internal energy and the left heat is used to do work.
ΔQ = ΔU + W
ΔU = ΔQ -W
Thus, the first law of thermodynamics states that the change in the internal energy of a system is equal to the difference in energy transferred to or from the system as heat and work done.
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why is the importance and need of environmental science increasing in today world
Environmental science enlightens us on how to conserve our environment in the face of increasing human population growth and anthropogenic activities that degrade natural resources and ecosystems.
Explanation:
The scope of environmental studies is very wide and it deals with many areas like:
(i) Conservation of natural resources,
(ii) ecological aspects,
(iii) pollution of the surrounding natural resources,
(iv) controlling the pollution,
(v) social issues connected to it, and
(vi) impacts of human population on the environment.
Does a closed system obey the law of conservation of matter? Write one or two sentences explaining your answer
Answer:
Yes
Explanation:
Whatever the system be the system ought to obey law of conservation of matter.
This law states that
Matter can neither be created nor be destroyed
Doubling the capacitance of a capacitor that is holding a constant charge causes the energy stored in that capacitor to\
The doubling of the capacitance and the reduction of the voltage to half, the energy of the capacitor is reduced to half.
What is capacitance?The capacitance is given as the storage of charge per unit voltage. It can be given as:
[tex]\rm C=\dfrac{Q}{V}[/tex]
The energy stored in the capacitor is given as :
[tex]\rm E=0.5\;CV^2[/tex]
The doubling of capacitance to 2C and reducing the voltage to 0.5V, the new energy is given as:
[tex]\rm E^n=0.5\;\times\;2C\;\times\;(0.5V)^2\\E^n=0.25\;CV^2\\E^n=0.5E[/tex]
Thus, with the doubling of the capacitance and the reduction of the voltage to half, the energy of the capacitor is reduced to half.
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Find the moment of inertia iz ofa tetrahedron of constant density
The moment of inertia of the tetrahedron will be 435.75,Moment of inertia is found by the application of integration.
What is a moment of inertia?The sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation expresses a body's tendency to resist angular acceleration.
The moment of inertia of a tetrahedron of constant density is found as;
[tex]\rm I_Z = \int\limits^a_b {dz} \, dv \\\\ dv=dxdy\\\\ I_Z = \int_0^9 \int_0^{8-\frac{8x}{9}} \int_0^{5-\frac{5x}{9} -\frac{5x}{8} }(x^2+y^2)dzdy[/tex]
After applying the limit, we get the answer is;
[tex]\rm I_Z= \frac{1743}{4} \\\\ I_Z= 435.75[/tex]
Hence, the moment of inertia of tetrahedron will be 435.75
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A 432 g sample of 60/27Co has a decay constant of 4.14 x 10-9 s-1. How long will it take before only 1/3 of the original sample remains?
Answer:
432 60 27 4.14 10 9 1=15000
a high efficiency shower can save... 1. water 2. energy 3. both ?
Answer:
both
Explanation:
You'll use less water....less hot water so water and energy are saved
An electromagnetic wave has a frequency of 8.2 x 10¹⁴ Hz. What is the wavelength of the wave?
Explanation:
Given parameters:-
Frequency of EMW is - 8.2 x 10¹⁴ HzTo find:-
Wavelength([tex]\lambda[/tex])?Solution:-
Here , we are provided frequency of electromagnetic wave and we have to find the wavelength of the wave. To find the wavelength we have to divide the speed of light by given frequency. therefore,
[tex]\tt\red{wavelength( \lambda)= \frac{speed(c)}{frequency(f)}}[/tex]
[tex] \rightarrow \sf \: \lambda = \frac{3 \times {10}^{8} }{8.2 \times {10}^{14} } \\ \\ \rightarrow \sf \: \lambda = \frac{3 \times {10}^{8} \times {10}^{ - 14} }{8.2} \\ \\ \rightarrow \sf \: \lambda = 0.36 \times {10}^{6} \\ \\ \rightarrow \sf \: \lambda = 36 \times {10}^{4}m[/tex]
Which of the following is true about ionic bonds?
O a. They form crystals.
O b. They are hard.
O c. They have high boiling points.
O d. All of the above.
Answer:
c . they have high boiling points
Who developed a way to measure speed
The volume of empty space between gas particles is.
Answer:
either atoms or molecules
Find the equivalent resistance of this circuit. First, what is the equivalent resistance, Req(23), of the parallel combination of R2 and R3?
[tex]R_{eq(23)} = \left(\dfrac 1{R_2} + \dfrac{1}{R_3}\right)^{-1}\\\\\\~~~~~~~~~= \left( \dfrac 1{200} + \dfrac 1{300} \right)^{-1}\\\\~~~~~~~~~=\left( \dfrac{5}{600} \right)^{-1}\\\\\\~~~~~~~~~=\dfrac{600}5\\\\\\~~~~~~~~~= 120~ \Omega[/tex]
Step-by-step explanation :
Here we have to calculate the equivalent resistance of the parallel combination between R2 and R3.
As we know that,
1/Rp = 1/R2 + 1/R3 ... n>> 1/Rp = (1/200) + (1/300)
>> 1/Rp = (300 + 200 / 600)
>> 1/Rp = 500 / 600
>> 1/Rp = 5 / 6
>> Rp = 6 / 5
>> Rp = 1.2Ω
Therefore,
Resistance in parallel combination is of 1.2ΩIf a ball has a speed of 10 m/s and a momentum of 2.5 kg∙m/s,
what is its mass?
0.25 kg
Explanation:
[tex]p = m \times v \\ 2.5 = m \times 10 \\ m = \frac{2.5}{10} \\ \boxed{m = 0.25} [/tex]
How is energy transformed In a washing machine
Answer:
In earlier washing machine, the electrical energy is converted in rotational kinetic energy. Now a days, in washing machine, the electrical energy is converted in kinetic energy then the mechanical energy is converted into heat energy. In modern machines, we can wash and dry the clothes.
What is the current in a circuit with a 9.0 v battery and a resistance of 36.0 ω? 0.25 a 4.0 a 45 a 324 a
The currrent flowing the circuit with the given voltage and resistance is 0.25 Ampere.
Option A) 0.25A is the correct answer.
What is Ohm's Law?Ohm’s law states that "the potential difference between two points is directly proportional to the current flowing through the resistance.
It is expressed as;
V = I × R
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
Given that;
Voltage in the circuit V = 9.0VResistance R = 36.0ΩCurrent I = ?We substitute our given values into the expression above.
V = I × R
9.0V = I × 36.0Ω
I = 9.0V / 36.0Ω
I = 0.25A
Therefore, the currrent flowing the circuit with the given voltage and resistance is 0.25 Ampere.
Option A) 0.25A is the correct answer.
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A 3kg mass is dropped from a height of 12m. What is the KE as it strikes the ground?
Explanation:
Givenmass=3kg
height=12m
and all of them now
gravity=9.8m/S2
required
k.e = ?
solution
k.e=p.e
so p.e=MGH
p.e=MGH
=3kg*9.8m/S2*12m
=352.8kg m2/S2
=352.8 J
so we said p.e=k.e
therefore 352.8 J = k.e
how long would it take for a resultant upward force of 100N to increase the speed of 50kg object from 100m/s to 150m/s
Answer:
25 sec
Explanation:
F = ma
100 = 50 a
a = 2 m/s^2
vf = vo + at
150 = 100 + 2 t
50 = 2 t
t = 25 sec
Find the voltage drop between points A and B in the circuit. [?] V 106 A 30 Ω 40 Ω B 50 Ω 20Ω 10Ω
[tex]30 \Omega || 40\Omega ~ \text{and}~50\Omega || 30 \Omega\\\\\text{Equivalent resistance of the whole circuit,}\\ \\R_{eq} = \left(\dfrac{30 \times 40}{30+40} \right) + \left( \dfrac{50 \times 30}{50+30} \right)\\\\\\~~~~~~=\dfrac{1005}{28}~ \Omega\\\\\text{By Ohm's law,}\\\\~~~~~V=IR\\\\\implies I = \dfrac{V}{R} = \dfrac{9}{\tfrac{1005}{28}} = \dfrac{252}{1005}= \dfrac{84}{335}~ A\\\\ \text{Voltage drop between points A and B,}\\\\V_{AB} = IR_{AB}\\\\\\[/tex]
[tex]~~~~~~~=\dfrac{84}{335} \cdot \left(\dfrac{30 \times 40}{30+40} \right)\\\\\\~~~~~~~= \left( \dfrac{84}{335} \right) \left(\dfrac{120} 7 \right)\\\\\\~~~~~~~=\dfrac{288}{67}~V\\\\\\~~~~~~~=4.298~V[/tex]
Recall that Hubble's law is written v = H0d, where v is the recession velocity of a galaxy located a distance d away from us, and H0 is Hubble's constant. Suppose H0 = 20 km/s/Mly. How fast would a galaxy 1000 Mly distant be receding from us?
Hubbles' law is applicated on galaxies. The galaxy which is 1000 Mly distant from us has the speed 20000 km/s.
What is Hubble's law?Hubble's law is defined as the galaxies are moving away from Earth at speeds proportional to their distance.
Hubble's law is written as
v = H₀d
Here v is the recession velocity of a galaxy located a distance d away from us, and H₀ is Hubble's constant.
Suppose H₀ = 20 km/s/Mly.
1 parsec = 3.08 ₓ 10¹⁶ m
1 M parsec = 3.08 ₓ 10²² m
The speed v of the galaxy is
v = 20 ₓ 1000
v = 20000 km/s
Thus, the galaxy which is 1000 Mly distant from us has the speed 20000 km/s.
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When observed from Earth, some stars appear red. What is the cause of redshift?
A.The star is at rest relative to Earth.
B. The star is in a very distant location and is moving away from Earth.
C. The star is moving toward Earth at decreasing speed.
D. The star is moving toward Earth at increasing speed.
Answer:
B
Explanation:
This is the discovery of redshift that led scientist to say the universeis still expanding
The distance from the center of a ferris wheel to a passenger seat is 12 m. What centripetal acceleration does a passenger experience when the wheel's angular speed is 0. 50 rad/s?
A passenger experiences centripetal acceleration when there is circular motion around a center. The centripetal acceleration is 3 m/s².
What is centripetal acceleration?The centripetal acceleration is the acceleration acting when a body is moving on a circular path. It is acted towards the center of the path. Centripetal acceleration is the product of the square of angular speed and radius of path.
a =ω²r
Given the radius of path r is 12 m and angular speed ω is 0.50 rad/s².
The resulting centripetal acceleration is
a = (0.50)²×12
a = 3 m/s²
Thus, the centripetal acceleration is 3 m/s².
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What is the force on a current-carrying wire that is in a magnetic field of 5.41*10-5 T if the current is 22.84 A and the length of the wire is 31.71 m
Answer:
3.918*10^-2N
Explanation:
force=magnetic flux*current*length
force=5.41*10^-5*22.84*31.71
force=3.918*10^-2N
What is the energy source in each picture?
Answer:
Explanation:
Discussion
The top picture should be obvious. The rope is tied at one end. The person holding it provides energy in the form of vibrations moving up and down the way the diagram is shown. The wave can also be created by the rope moving sideways.
The bottom picture is much harder. T energy is provided by the forefinger. It has to move. If you just stick your finger in the water, all that will happen is that you will move some water (very little in the scheme of things.
So the energy is provided by a moving forefinger.
A wire that is 0.36 meters long moves perpendicularly through a magnetic field at a speed of 0.21 meters/second. The induced emf produced in the wire is 0.45 volts. What is the magnetic field strength?
A.
0.034 newtons/amp·meter
B.
0.17 newtons/amp·meter
C.
0.26 newtons/amp·meter
D.
0.77 newtons/amp·meter
E.
6.0 newtons/amp·meter
Answer:
the answer is letter D.
Explanation:
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Answer:
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Explanation:
The speed of sound doubles from 330 m/s to 660m/s going from air to a vibrating tuning fork.
Compare the frequency and wavelength of the wave in these 2 mediums.
Lets learn the relationship
[tex]\\ \rm\dashrightarrow \lambda=\dfrac{v}{\nu}[/tex]
[tex]\\ \rm\dashrightarrow \nu=\dfrac{v}{\lambda}[/tex]
[tex]\\ \rm\dashrightarrow \nu\propto \lambda\propto v[/tex]
Hence.
frequency and wavelength will be. doubled also
Describe the relationship between the Law of Conservation of Matter and balancing equations.
Answer:
The mass of the products and reactants are the same on both sides of the equation.
The number of atoms of products and reactants are equal and hence it proves the law of conservation of mass.
.
Detailed Explanation:
The Law of Conservation of Mass states that "In a chemical reaction, matter is neither created nor destroyed.". We balance chemical equations in order to satisfy the Law of Conservation of Mass. Balanced chemical equations show that mass is conserved in chemical reactions. In a balanced equation, there will be same number of each type of atom on both sides of the arrow.Copper wire is 1. 9 mm in diameter and carries a current of 20 a. What is the electric field stregnth inside this wire?
The electric field strength will be 0.6252 V/m. It is the strength at which the field is created by charges.
What is electric file strength?The electric field strength is defined as the ratio of electric force and charge.
The electric field strength is found as;
[tex]\rm E = \frac{I \rho }{A} \\\\ \rm E = \frac{20 \times 1.68 \times 10^{-8} }{ (0.6385 \times 10^{-6}} \\\\ E= 0.5262 \ V/m[/tex]
Hence, the electric field strength will be 0.6252 V/m.
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Research indicates that genetics does not influence levels of aggression. please select the best answer from the choices provided t f
The statement 'research indicates that genetics does not influence levels of aggression' is False.
What is behavioral genetics?Behavioral genetics is a branch of the genetics field aimed at understanding behavioral human patterns.
Behavioral genetics is fundamental for understanding aggressive patterns in criminal cases.In conclusion, the statement 'research indicates that genetics does not influence levels of aggression' is False.
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