An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The system's potential energy when kinetic energy of (3/4) E is (1/8) k A².
What is mechanical energy?Mechanical energy is the sum of potential energy and kinetic energy.
Total mechanical energy = P.E max = K.E max
Total mechanical energy = K.E +P.E
Given is the kinetic energy is (3/4)E.
E= (3/4)E + P.E
P.E = (1/4) E
Maximum potential energy =E = (1/2) k A²
Here. A is the maximum displacement and k is the spring constant.
The potential energy at kinetic energy of (3/4) E is
P.E = (1/4)E = (1/8) k A²
Therefore, the system's potential energy when kinetic energy of (3/4) E is (1/8) k A².
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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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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.
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 equivalent resistance of this circuit.
[tex](R_1 +R_2)||R_3\\\\R_{eq} = \left(\dfrac 1{R_1 + R_2} + \dfrac 1{R_3}} \right)^{-1}\\\\\\~~~~~~=\left( \dfrac{1}{100+200} + \dfrac 1{600} \right)^{-1}\\\\\\~~~~~~=\left( \dfrac{1}{300} + \dfrac{1}{600} \right)^{-1}\\\\\\~~~~~~=\left(\dfrac{3}{600} \right)^{-1}\\\\\\~~~~~~=\dfrac{600}3 \\\\\\~~~~~~= 200~ \Omega[/tex]
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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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
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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can anyone pls help me with any of these questions i need it asap for my finals tmrw
Answer:
Answer:2nd question answer is 2.75Answer:2nd question answer is 2.75Explanation:
Mass of ball is missing in your 1st question.
for 2nd question,
Small cart,
m1 = 1.25kg
u1 = 2.5m/sec
v1 = -0.94m/sec ( negative sign indicate opposite motion)
Large cart,
m2 = ?
u2 = 0 m/s
v2 = 1.56 m/sec
from conservation of linear momentum,
m1*u1 + m2* u2 = m1*v1 + m2*v2
1.25*2.5 + m2*0 = 1.25*-0.94 + m2*1.56
3.125 + 0 = -1.175 + 1.56*m2
3.125 + 1.175 = 1.56*m2
4.3 = 1.56*m2
m2 = 4.3/1.56
m2 = 2.75 kg
if they stuck together instead of bounced. then,
total mass of bodies (m)= m1+m2= 4kg
final velocity of bodies (v) = ?
From , conservation of linear momentum,
m1*u1 + m2* u2 = m*v
1.25*2.5 + 2.75*0 = 4*v
3.125 = 4*v
v = 3.125/4
v = 0.78125 m/ sec.
The large cart has a mass of 2.75kg. This can be identified from the law of conservation of momentum. Its unit is kg.s⁻¹/m.
What is the law of conservation of momentum?Momentum is the quantity that describes the motion of the body. The momentum equals the product of mass and velocity. Momentum= Mass/velocity. It depends on the velocity as velocity changes momentum also changes.
The law of conservation of momentum states that the initial and final momentums are the same in the system. It shows that the momentum of the system remains constant, before and after the collision.
In an isolated system of two bodies acting on each other, total momentum remains constant in the absence of external forces. It can neither be created nor destroyed.
Law of conservation of momentum:
Total momentum before collision = Total momentum after the collision
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
From the givens,
Mass of small chair, m₁ = 1.25kg,
The initial speed of the small chair before the collision, u₁ = 2.5 m/s,
The final speed of the small chair after the collision, v₁ = - 0.94 m/s (negative sign opposite sign),
The initial speed of the large chair before the collision, u₂ = 0 (large chair is at rest before the collision),
The final speed of the large chair after the collision, v₂ = 1.56 m/s,
The mass of a large chair m₂ =?
From the conservation of momentum:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(1.25×2.5) + (m₂×0) = (1.25(-0.94) + (m₂×1.56)
3.125 + 0 = - 1.175 +( m₂×1.56)
3.125+1.175 = ( m₂×1.56)
4.3 / 1.56 = m₂
m₂ = 2.75kg
Hence, the mass of a large chair, m₂ = 2.75kg.
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If 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]
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
Who developed a way to measure speed
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
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
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 will be the speed of an airplane that normally flies at 200 km/h when it encounters a 80km/h wind from the side (at a right angle to the airplane)
The speed of an airplane that normally flies at 200 km/h when it encounters an 80 km/h wind from the side will be 215.4065 m/sec.
What is speed ?Speed is defined as the rate of change of the distance or the height attained. It is a time-based quantity. It is denoted by u for the initial speed while v for the final speed. Its SI unit is m/sec.
The resultant or the net value of the velocity is found as;
[tex]\rm V_{net}=\sqrt{ V_A^2+V_B^2} \\\\ \rm V_{net}=\sqrt{(200)^2+(80)^2} \\\\ V_{net}=\sqrt{46400} \\\\ V=215.4065\ km/h[/tex]
Hence, the speed of an airplane will be 215.4065 m/sec.
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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 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.
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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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.
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
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 1.2ΩDoes 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
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
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]
The strength of force is expressed by?
a. weight
b. mass
c. magnitude
d. longitudinal force
Answer:
a
Explanation:
maybe b but I think it's a
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.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:
i hope this is help
Answer:
great answer warstep8! add me on disc colludy#8415
Explanation:
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]
