The total kinetic energy of a 5-kg hoop with a radius of 0. 5 m when it rolls without slipping at 4. 0 m/s is 80 Joules.
What is kinetic energy?The kinetic energy is the ability to do work by virtue of its motion.
The mass of the hoop is 5 kg, the radius of the hoop is 0.5 m and the speed with which it is rolling is 4.0 m/s.
The angular speed of the hoop is
ω = v / r
ω = 4 / 0.5 = 8 rad/s
The moment of inertia of the hoop is I = m r² / 2
The kinetic energy of the rolling object is the addition of translation and rotational kinetic energy.
K.E = 1 / 2(mv²) + = 1 / 2(Iω²)
Substituting the values into the above equation and solving, we get the total kinetic energy.
K.E = 40 + 40 = 80 Joules
Thus, the total kinetic energy is a rolling hoop is 80 Joules.
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A body is acted upon by a constant force directed towards a fixed point. the magnitude of the force varies inversely as the square of the distance from the fixed point. what is the nature of the path?
a) straight line
b)circle
c)random motion
Answer:
Circle
Explanation:
Actually its Eclipse or ecliptial path.
Force varies inversely with square of distance.
Remember Gravitation?
F=GMm/r²Yes
F is inversely proportional to r²
So it's eclipse
Recheck if a option given or circle is most likely correct
Edwin Hubble proposed that the universe is expanding. How did he support his assertion
Answer: i think Hubble's Law basically states that the greater the distance of a galaxy from ours, the faster it recedes
Explanation:
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]
A 3600-n force causes a car to accelerate at a rate of 4m/s2. what is the mass of the car?
Answer:
N~ f fric m 1~g The acceleration of the car can be calculated using v2 f v 2 i = 2a x a = v2 2 x = (72000 3600) 2 2 30 = 6:67m=s2 On the other hand, Projecting 2nd Law on the y-axis gives N=mg; For the book to slide o the seat, acceleration should overcome frction: f s < ma sN < ma smg < ma s = 0:650 < a g = 6:67 9:81 = 0:68
Explanation:
1. Which wave phenomenon is illustrated by this image?
O A. Refraction
O B. Diffraction
O C. Diffusion
O D. Interference
Answer:
Explanation: O B. Diffraction
what is the primary way the metamorphic rock formed
Hello always here to help!!!!
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Existing rocks come together under great heat and pressure to generate metamorphic rocks. Marble, schist, slate, and quartzite are examples of metamorphic rocks. Heat and pressure cause chemical changes in minerals, resulting in metamorphic rocks. They are frequently encountered near magma, but unlike igneous rock, they do not melt.
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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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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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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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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.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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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
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
How many protons, electrons, and neutrons are present in an atom of cr-24?
The number of protons, electrons, and neutrons in the atom of cr-24 is 28, 24, and 24 respectively.
What is atom?An atom is the smallest unit of matter, consisting of the positively charged nucleus and the electrons which move around it. The atom can not be divided further.
The atom of a matter is made by three elements-
1) Neutron-Neutron is the element of an atom, which has zero charge.2) Proton-Proton is the element of an atom, which has a positive charge.3) Electron-Electron is the element of an atom, which has a negative charge.The atom of cr-24 has the atomic number 24. The atomic number of atom is equal to the number of proton and electron in an atom. Thus,
[tex]\rm Proton=24\\\rm Electron=24[/tex]
Now, if this atom has the mass number of 52 (most common). Then the number of neutron is,
[tex]\rm Neutrons=Mass\; Number-Atomic\; Number\\\rm Neutrons=52-24\\\rm Neutrons=28[/tex]
Thus, the number of protons, electrons, and neutrons in the atom of cr-24 is 28, 24, and 24 respectively.
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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.
When a constant force is applied to an object the acceleration of the object varies inversely
Answer:
See below
Explanation:
to the force of kinetic friction
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
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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What is the study of interactions between humans and the environment
Answer:
Environmental science is the dynamic, interdisciplinary study of the interaction of living and non-living parts of the environment, with special focus on the impact of humans on the environment.
Explanation:
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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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
why is speed relative?
Because the measurement of motion is dependent on the observer's position or reference frame.
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.
Which two planets in our solar system do not have any moons?.
Do you think that push-ups (pushing your body weight up from the floor) or shoulder press (pushing weights above your head) will do a better job of helping you build muscles? Defend your answer using words and equations.
Answer:
Push-ups. Let M1 be the mass of the body and M2 be the mass of weights. Assume that M1 must be heavier than M2. Since M1 is heavier, M1 requires more force, and therefore work to be applied, let F1=M1*g. To bring our body back up, we need a force bigger or equal (if already in motion) to F1.
Let F2 = M2*g
Since F1 has to be bigger than F2 due to mass, we can build an equation for energy. Let X be a displacement, which is equal in both situations. Constructing a change of energy equation we can see that work done to lift the body is greater:
W1=F1*x
W2=F2*x
Where W1 is the work of the hands-on body, and W2 is the work of lifting weights. W1 has to be larger than W2. Since more work in W1, more muscle will be needed to complete a repetition, but only assuming that M1 > M2.
how much current flows through a 100- ohm device connected to a 1.5- volt battery
Answer:
0.015A
Explanation:
I=V/R
=1.5/100
0.015A
Just apply ohm's law
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
A person lowers a 1 kg basket down to the floor. At one instant while the person is doing this, the basket has an acceleration straight down of 2.0 m/s2 . What is the lifting force that the person is applying at this instant
The lifting force applied by the person in lowering the basket is determined as 7.8 N.
Lifting force applied
The lifting force applied by the person is determined from Newton's second law of motion.
F = mg - ma
F = m(g - a)
where;
g is acceleration due to gravity acting downwardsF = 1(9.8 - 2)
F = 7.8 N
Thus, the lifting force applied by the person in lowering the basket is determined as 7.8 N.
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