Answer:
The coin will reach a vertical height of 0.027 meters before it stops rolling.
Explanation:
Let suppose that coin-ground system is a conservative system and begins at a height of zero. Since the coin is experimenting a general plane motion, which is a combination of translation and rotation. By Principle of Energy Conservation we have the following model:
[tex]K_{T}+K_{R} = U_{g}[/tex] (1)
Where:
[tex]K_{T}[/tex] - Translational kinetic energy at the bottom of the incline, in joules.
[tex]K_{R}[/tex] - Rotational kinetic energy at the bottom of the incline, in joules.
[tex]U_{g}[/tex] - Gravitational potential energy at the top of the incline, in joules.
By definitions of Kinetic and Gravitational Potential Energy we expand (1):
[tex]\frac{1}{2}\cdot I \cdot \omega ^{2} + \frac{1}{2}\cdot m\cdot R^{2}\cdot \omega^{2} = m\cdot g\cdot h[/tex] (2)
Where:
[tex]I[/tex] - Momentum of inertia of the coin, in kilogram-square meters.
[tex]\omega[/tex] - Angular speed, in radians per second.
[tex]R[/tex] - Radius of the coin, in meters.
[tex]m[/tex] - Mass, in kilograms.
[tex]g[/tex] - Gravitational acceleration, in meters per square second.
[tex]h[/tex] - Height reached by the coin, in meters.
The momentum of inertia of the coin is calculated by:
[tex]I = \frac{1}{2}\cdot m\cdot r^{2}[/tex] (3)
Then, we expand and simplify (2):
[tex]\frac{3}{4}\cdot R^{2}\cdot \omega^{2} = g\cdot h[/tex]
[tex]h = \frac{3\cdot R^{2}\cdot \omega^{2}}{4\cdot g}[/tex]
If we know that [tex]R = 0.0108\,m[/tex], [tex]\omega = 55.2\,\frac{rad}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then the height reached by the coin is:
[tex]h = 0.027\,m[/tex]
The coin will reach a vertical height of 0.027 meters before it stops rolling.
Which type of reproduction uses gametes?
sexual
asexual
A ____ changes mechanical energy into ____. A____changes electric energy into _____. _____changes the voltage of an
Answer:
An electric current into a magnetic field
Explanation:
:) please give a heart if this helped you in any way. ;O)
A tungsten wire is 1.5m long and has a diameter of A current of flows through the wire. The resistivity of the wire is 5.6 * 10 ^ - 8 What is the potential difference across the ends of the wire?
Complete Question:
A tungsten wire is 1.5 m long and has a diameter of 1.0 mm. A current of 60 mA flows through the wire. The resistivity of the wire is 5.6 * 10^-8 Ωm. What is the potential difference across the ends of the wire?
Answer:
Potential difference, V = 0.00642 Volts.
Explanation:
Given the following data;
Diameter = 1 mm to meters = 1/1000 = 0.001 m
Length = 1.5m
Current = 60mA = 60/1000 = 0.06 Amperes.
Resistivity = 5.6 * 10^-8 Ωm
To find the potential difference across the ends of the wire;
First of all, we would determine the cross-sectional area of the wire (circle);
[tex] Radius, r = \frac {diameter}{2} [/tex]
[tex] Radius = \frac {0.001}{2} [/tex]
Radius = 0.0005 m
Area of wire (circle) = πr²
Substituting into the above formula, we have;
Area = 3.142 × (0.0005)²
Area = 3.142 × 2.5 × 10^-7
Area = 7.855 × 10^-7 m²
Next, we find the resistance of wire;
Mathematically, resistance is given by the formula;
[tex] Resistance = P \frac {L}{A} [/tex]
Where;
P is the resistivity of the material.
L is the length of the material.
A is the cross-sectional area of the material.
Substituting into the formula, we have;
[tex] Resistance = 5.6 * 10^{-8} \frac {1.5}{7.855 * 10^{-7}} [/tex]
[tex] Resistance = 5.6 * 10^{-8} * 1909611.712 [/tex]
Resistance = 0.107 Ohms.
Now, we can find the potential difference using the formula;
[tex] V = IR[/tex]
Where;
V represents voltage or potential difference measured in volts.
I represents current measured in amperes.
R represents resistance measured in ohms.
Substituting into the formula, we have;
[tex] V = 0.06*0.107[/tex]
Potential difference, V = 0.00642 Volts.
Please help!!!!!!!!!
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A 50kg gymnast is bouncing on a trampoline. If she is going down at 5m/s when she lands on the trampoline, and it bouncesher up in the opposite direction at a velocity of 4m/s, whatis her change in momentum?
Answer:
450 kgm/s upward
Explanation:
From the question,
Change in monentum = mass× change in velocity
ΔM = mΔv....................... Equation 1
ΔM = m(v-u).................. Equation 2
Where ΔM = Change in momentum, m = mass of the gymnast, v = final velocity, u = initial velocity
Given: m = 50 kg, v = -4 m/s. u = 5 m/s
Substitute these values into equation 2
ΔM = 50(-4-5)
ΔM = 50(-9)
ΔM = -450 kgm/s
Hence the change in momentum of the gymnast is 450 kgm/s upward
A huge asteroid that is moving at an incredibly fast speed impacts the Earth, will this change the momentum of the Earth? Explain.
half life, for my physics but pretty sure it involves maths. you don’t have to do them all i’m just confused how to work it out.
I probably don't have to tell you that the other answer is nonsense, but I'll do it all the same, just in case... Half-life is defined as the time it takes for some radioactive substance to decay to half its original amount.
If it takes n half-lives for some substance with a starting amount of A to decay to a final amount of B, then
[tex]B = \dfrac{A}{2^n}[/tex]
1. If the half-life is x, then after 1 half-life, 5000 units of this substance decays to 2500 units. After another half-life, this decays to 1250. After another, this in turn decays to 625.
So 3 half-lives are required.
In terms of the equation above, we solve for n such that
[tex]625 = \dfrac{5000}{2^n} \implies 2^n = 8 \implies n=3[/tex]
since 2³ = 8.
2. Count how many times you halve 15,000 to end up with 3750:
15,000/2 = 7500
7500/2 = 3750
===> 2 half-lives
In other words,
[tex]3750 = \dfrac{15,000}{2^n} \implies 2^n = 4 \implies n=2[/tex]
3. After 1 half-life, you would end up with
12,000/2 = 6000
and after another half-life,
6000/2 = 3000
i.e.
[tex]\dfrac{12,000}{2^2} = \dfrac{12,000}4 = 3000[/tex]
4. After 1 half-life, you have
26,000/2 = 13,000
After 2 half-lives,
13,000/2 = 6500
After 3 half-lives,
6500/2 = 3250
After 4 half-lives,
3250/2 = 1625
i.e.
[tex]\dfrac{26,000}{2^4} = \dfrac{26,000}{16} = 1625[/tex]
5. If the half-life is 3 years, then 15 years = 3 half-lives.
In the last 3 years, 20,000 would have decayed to 10,000.
In the second-to-last 3 years, 40,000 would have decayed to 20,000.
In the first 3 years, 80,000 would have decayed to 40,000.
i.e.
[tex]\dfrac{x}{2^3} = 10,000 \implies x = 8\times10,000 = 80,000[/tex]
Underground caves can form in limestone through deposition.
A.) False
B.) True
Answer:
I think the answer is option B
i dont need answers, i just want to know what you guys think....just anything
if energy can't be created or destroyed, then it means there must have been a certain amount of energy when the universe was born, right? Is it possible to measure how much energy there was in the beginning?
Answer:
I am not sure really.
Explanation:
I just don't know
write four importance of pressure
A cyclist rides at 6.20 m/s through a intersection. A stationary car begins to
accelerate at 3.844 m/s2 when the bike is beside it. They reach the other side of
the intersection at the same time. Find the width of the intersection.
Answer:
The width of the intersection is 20 meters
Explanation:
The speed with which the cyclist is riding, v₁ = 6.20 m/s
The rate at which the car starts to accelerate, a = 3.844 m/s²
The initial velocity of the car = The car is stationary at the start = 0 m/s
The time at which the cyclist and the car reach the other side of the intersection = The same time;
Let 't' represent the time at which the cyclist and the car both reach the other side of the intersection, we have;
The distance travelled by the cyclist = The distance traveled by the car
∴ v₁ × t = 1/2 × a × t²
Plugging in the values for 'v₁', and 'a' in the above equation, we get;
6.20 × t = 1/2 × 3.844 × t²
∴ 1.922·t² - 6.20·t = 0
∴ t·(1.922·t - 6.20) = 0
t = 0, or t = 6.20/1.922 = 100/31
The time at which the cyclist and the car both reach the other side of the intersection, t = 100/31 seconds
The with of the intersection, w = v₁ × t
∴ w = 6.20 × 100/31 = 100/5 = 20
The width of the intersection, w = 20 meters.
which of the following power plants does not use thermal energy to produce electricity?
a) fossil fuel power plant
b) nuclear power plant
c) geothermal power plant
d) hydroelectric power plant
Answer: d
Explanation:
1. Matter is made up of small particles called
2. What is the volume of this rectangular prism?
cm^3
Calculate the volume of this regular solid.
6 cm
5 cm
9 cm
Density is the ____ of a substance. The density of a substance is _____ if its particles are packed tightly together. Hardness shows __________.
Answer:
degree
liquid
mass-volume
Explanation:
What are the rows on the periodic table called? What are the columns called? What do you know about elements in the same group?
Answer:
Rows are called periods, columns are called groups or families, and elements in the same group have the same number of valence electrons and often show similar properties and reactivity.
Explanation:
what does an electric circuit mean?
Answer: An electric circuit includes a device that gives energy to the charged particles constituting the current, such as a battery or a generator; devices that use current, such as lamps, electric motors, or computers; and the connecting wires or transmission lines.
Explanation: Hope this helped! <3
An object is lifted against gravity from the floor to a tabletop. This is an example of
Answer:
Work done against gravity in lifting an object becomes potential energy of the object-Earth system. The change in gravitational potential energy, ΔPEg, is ΔPEg = mgh, with h being the increase in height and g the acceleration due to gravity.
Explanation:
A car moving with a speed of 35 m/s sees a child standing in the
middle of the road. The driver of the car applies brakes and brings the
car to rest in 5 sec, just in time to save the child. Calculate the average
stopping force of the vehicle, if the mass of vehicle and the driver is
300 kg.
Answer:
2100 N
Explanation:
[tex]v = u + at \\ 0 = 35 + a(5) \\ a = - 7m {s}^{ - 2} \\ \\ net \: force \: = ma \\ = (300)(7) \\ = 2100 \: newtons[/tex]
What kind of image is formed when an object is placed at the focal point of a convex lens? Explain WHY this is the image that occurs
Answer:
Since light does not actually pass through this point, the image is referred to as a virtual image. Observe that when the object in located in front of the focal point of the converging lens, its image is an upright and enlarged image that is located on the object's side of the lens.
Explanation:
A man pulls a sled at a constant velocity across a horizontal snow surface . If a force of 80 n is being applied to the sled at an 53 degree to the ground . What is the force of friction between sled and snow
Answer:
Explanation:
The force of 80N is applied on sled at 53⁰
Its horizontal component = 80cos53
= 48.14 N .
Its horizontal component will pull forward the sled and friction will prevent its forward motion . As sled is moving with constant velocity , net force on it is zero .
Hence forward push = frictional force
Frictional force = 48.14 N.
A test tube has a diameter of 3cm how many turns would a piece of thread of length 90.42cm make round the test tube
Answer:
9.59 turns
Explanation:
A test tube looks like cylinder, we can say it has a cross section of circle- like. Then the circumference of the test tube can be determined,Then use it to divide length of the string which answered the question.
Circumference of the tube=( π d)
Where d= diameter
π= 3.142
If we substitute the values, we have
= (3× 3.142)= 9.42cm
length of the string= 90.42cm
Circumference of the tube= 9.42cm
Number of turns around the test tube=
=( length of the string) /Circumference of the tube
=(90.42 ÷ 9.42)
= 9.59cm
Two forces one of 12N and another of 5N act on a body in such away that they makes an angle of 90 digre with each other,what is the resultant?
Answer:
Sorry I didn't know the answer
Water can be found in solid, liquid, and gaseous states. Which two processes would result in water changing to water vapor (or steam) when boiled?
deposition and condensation
evaporation and deposition
sublimation and evaporation
condensation and melting
Answer:
sublimation and evaporation
Explanation:
evaporation is from liquid to gas and sublimation is solid to liquid, as water vapor is a gas both of these methods could be used
By the end of the 19th century, more than half of the population believed in the presence of atoms.
Answer:
hello your question is vague hence I will provide a general answer about what was known about atoms in the 19th Century
answer :
By the end of the 19th century more than half of the population believed in the presence of atoms and also in the 19th Century is was a known fact that atoms determine the chemical properties of an element
Explanation:
By the end of the 19th century more than half of the population believed in the presence of atoms and also by the 19th Century is was a known fact that atoms determine the chemical properties of an element.
John Dalton reintroduced the presence of atoms in 1800 with evidence which he used to develop atomic theory. with this theory people believed in the presence of atoms in nature and also that atoms determine the chemical properties of an element .
Which model could represent a neutral atom of nitrogen? 2 3 4 A. 1 B. 3 C. 4 D. 2.
Answer:
B
Explanation:
because it has more power
The Model A represents a neutral atom. hence option A is correct.
What is Atom ?Atom is smallest entity of a body. Body is made up of atoms. it is basic building block of a body. An atom consist of electrons, protons and neutrons as sub atomic particle. whole mass of the atom is concentrated at the center of the atom which we call it as nucleus, nucleus consist of proton and neutron. Electron revolve around the nucleus at determined(fixed) orbit. Total number of protons in the atom decides the atomic number and the elements in the periodic table. The electrons which are completely filled orbitals are called as core shell electrons and which are not filled completely are called as valence electron. valence electrons are responsible for physical and chemical properties of the element. Elements which are on same column in periodic table have same number of valence electrons . Hence they have same properties.
Atomic number of Nitrogen is 7. Hence neutral atom of nitrogen has 7 electrons in his orbits.
Hence option A is correct.
To know more about Atom :
https://brainly.com/question/30898688
#SPJ5.
10. Which of the following is an electrical insulator?
A. a penny
B. a bike chain
C. a tree
D. a gold tooth
Answer:
c
Explanation:
every other option is a conductor
Help Me Fast Please!!
A piano tuner hears a beat frequency when using a tuning fork to tune a piano wire. The piano tuner should adjust the tension in the wire to
increase the amount of interference and increase the beat frequency.
increase the amount of interference and decrease the beat frequency.
decrease the amount of interference and decrease the beat frequency.
decrease the amount of interference and increase the beat frequency.
Answer:
There is only a beat frequency when the frequency heard (perhaps a tuning fork) is different from the frequency from the object in question (piano string, etc.).
The beat frequency equals the difference of the frequencies of the sources.
The piano tuner should adjust the tension in the wire to: C. decrease the amount of interference and decrease the beat frequency.
A wave can be defined as a disturbance created in a medium, which progressively transports energy from a source to another location without the transportation of matter.
Basically, some of the phenomenon and properties associated with waves include the following:
Doppler shift (Doppler effect)ReflectionRefractionDiffractionInterferenceAn interference refers to a phenomenon in which two (2) waves meet while traveling along the same medium and they superpose to produce a resultant wave with either a lower, greater, or the same amplitude.
In this scenario, a beat frequency is being heard by a piano tuner when using a tuning fork to tune a piano wire. Thus, the piano tuner should adjust the tension in the wire, so as to decrease the amount of interference and the beat frequency.
Read more: https://brainly.com/question/14929897
The weather map shows air pressure in Millibars. Which set of conditions 10 por
best describes the weather at the area of lowest air pressure?"
1004
1004
1008
1008
1008
1004
41004
(1008
1-000
1000
1000
996 L
1-004
1004
1000
1000M
2008
2004
-1004
1008
A. Bright sun with no wind
O B. Mostly sunny with no winds
O C. Partly cloudy with no wind
O D.Overcast skies with strong winds
I think the answer for the following question is A.
the girl has a weight of 72N on moon.what will be the mass and the weight of the girl on earth.(use g earth=10m/s 2/g 9 moon=1.6m/s 2)
Answer:
F(m)= mg(m)
m=F(m)/g(m)=72/1.6=45kg
F(e)= mg(e)= 45 x 10 m/s= 450N
2 points
What element in this equation indicates that this is a combustion reaction: CH4(g) + 2 O2(g) — CO2(g) + 2 H2O(g)? i