A 0.0215 m diameter coin rolls up a 20.0 degree inclined plane. The coin starts with an initial angular speed of 55.2 rad/ s and rolls in a straight line without slipping. How much vertical height does it gain before it stops rolling?

Answers

Answer 1

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.


Related Questions

How much work (MJ) must a car produce to drive 125 miles if an average force of 306 N must be maintained to overcome friction?

Answers

Answer:

The right solution is "61.557 MJ". A further explanation is given below.

Explanation:

The given values are:

Force,

F = 306 N

Drive,

D = 125 miles,

i.e.,

  = 201168

meters

As we know,

The work done will be:

= [tex]F\times S[/tex]

On substituting the given values, we get

= [tex]306\times 201168[/tex]

= [tex]61557408 \ J[/tex]

On converting it in "MJ", we get

= [tex]61.557\times 10^6 \ J[/tex]

= [tex]61.557 \ MJ[/tex]

(True/False) The normal force is always opposite in direction to weight.

Answers

Answer:

True

Explanation:

HELP!!! I MIGHT FAIL THE 6th GRADE IF I DON'T GET HELP!!!! The southern United States experiences periodic occurrences of severe cold and drought conditions. Which weather phenomenon most likely causes this and why?

Answers

Answer:

La Niña, because the jet stream is displaced northwards

Explanation:

La Nina is known to be a cool phase that affects the average ocean temperature. During this period the surface wind becomes stronger and there is lesser rainfall over the areas of the central tropical Pacific to which the Southern United States belongs.

Hence, when the southern United States experiences periodic occurrences of severe cold and drought conditions, the weather phenomenon most likely causes this and why is "La Niña, because the jet stream is displaced northwards."

Which formula represents the law of conservation of energy?

Answers

Answer:

KE+PE

Explanation:

People should be more concerned about the global water budget than the local water budget.
True

Answers

Answer:

true

Explanation:

because global helps local

(20 points) What are wispy looking clouds, usually at high altitudes called?
stratus clouds
nimbus clouds
cirrus clouds
cumulus clouds

Answers

C , hope this helps

Answer:

the answer is c cirrus clouds

Explanation:

Please hurry
Starting from rest, this airliner accelerates at 2.4m/s2 for 32 seconds before leaving the ground. Calculate its velocity at liftoff.

Answers

Answer:

The velocity will be "76.8 m/s".

Explanation:

The given values are:

Acceleration,

a = 2.4 m/s²

Time,

t = 32 seconds

By equation of motion,

⇒  [tex]v=u+at[/tex]

On substituting the values, we get

⇒     [tex]=0+2.4\times 32[/tex]

⇒     [tex]=0+76.8[/tex]

⇒     [tex]=76.8 \ m/s[/tex]

how much water makes up earth in percentages? thx?

Answers

Answer:

71%

Explanation:

Rutherford tracked the motion of tiny, positively charged particles shot through a thin sheet of gold foil. Some particles traveled in a straight line and some were deflected at different angles.

Answers

The question is incomplete, the complete question is;

Rutherford tracked the motion of tiny, positively charged particles shot through a thin sheet of gold foil. Some particles traveled in a straight line and some were deflected at different angles. Which statement best describes what Rutherford concluded from the motion of the particles? Some particles traveled through empty spaces between atoms and some particles were deflected by electrons. Some particles traveled through empty parts of the atom and some particles were deflected by electrons. Some particles traveled through empty spaces between atoms and some particles were deflected by small areas of high-density positive charge in atoms. Some particles traveled through empty parts of the atom and some particles were deflected by small areas of high-density positive charge in atoms.

Answer:

Some particles traveled through empty parts of the atom and some particles were deflected by small areas of high-density positive charge in atoms.

Explanation:

Rutherford first proposed the nuclear model of the atom after his landmark experiment.

In this experiment, alpha particles from a source was focused on a thin gold foil. Some of the particles passed through empty spaces within the atom but were deflected at different angles by a small area of high-density positive charge within an atom which Rutherford later called the atomic nucleus.

Hence the answer above.

Two football players with mass 75 kg and 100 kg run directly toward
each other(this means they are running in the opposite directions).
The 75 kg player has a speed of 6m/s to the right and the 100 kg
player has a speed of 8 m/s to the left. What is the momentum of
the 75 kg player?

Answers

Answer:

A. 2 m/s

(m x v) (m x v) = (m+m)v


An airplane is cruising at a speed of 250 m/s. If the airplanes engines provide a forward force of 19,540 N, calculate the force of the air resistance (friction) that is acting on the plane.

Answers

250/300 dived by 500

A standing wave has points of constructive interference called _________ and points of destructive interference called ___________.
A. troughs, crests
B. nodes, antinodes
C. antinodes, nodes
D. crests, troughs

Answers

Answer:

The answer is nodes because nodes stay in a fixed position.

Explanation:

hope it help

srry if wrong

A standing wave has points of constructive interference called antinodes and points of destructive interference called nodes

What are constructive and destructive interference

This position, where the resulting wave is larger than either of the two original, is called constructive interference.

When the first wave is leading, the second wave is down and the addition of the two is zero. This is called destructive interference.

A standing wave occurs when two waves with the same properties moving in the opposite direction, in the same media, interfere with one another.

Nodes are points where the waves interact destructively, causing an appearance of the wave standing still.  The opposite of nodes is antinodes where they are points of maximum displacement due to constructive destruction.

Thus the standing wave has points of constructive interference called antinodes and points of destructive interference called nodes

To know more about constructive and destructive interference, follow

https://brainly.com/question/1040831

Here is a picture showing how two magnets will stick to one another when opposite poles align. When these magnets are pulled
slightly apart, does the attractive force between them still exist?
A)
Yes, but the new attractive force is due to gravity.
B)
No, since they are not touching, no force is at work.
Yes, even though they are not touching, they are pulling on one another.
D)
No, when the magnets are apart, they exert a repulsive force on one
another

Answers

Answer:

A

Explanation:

The others are only when the poles are the same as in south pole and south pole however north pole and south pole do connect cause they are oppisites

A 50 kg student stands on a 4 kg skateboard at rest. The student catches a 9 kg backpack moving with a horizontal speed of 2 m/s in the direction the skateboard is free to roll.

How fast will the student and the skateboard move after catching the backpack, assuming friction is negligible? Round your final answer to the hundredths place.​

Answers

Full mass= 63 kg
63/2= 31.5?
Not sure so good luck

8. List the objects in order from least to greatest inertia
A
B
D
5 kg
4 kg
3 kg
10 kg
a = 1 m/s/s
a 3 m/s/s
a 2 miss
a= 0 m/s/s

Answers

Answer:

mhibyguftyftfrehlknmjhbn

Explanation:

njhvvtfryvbnyuhnuihnjhk

True or false:

1.Gravity is the weakest universal force, but it is the most effective over long distances.


True or false:

2.An artificial satellite in a low orbit will slow down and lose altitude due to the pull of Earth's gravity.

True or false:

3.Electromagnetic force is associated with charged particles.

Answers

False true true. Ébène end end e e e e

What do you hope to learn from participating in the activity you selected?

Answers

When selecting an activity you are always looking to learn new skills from that activity and improve on them

For example
If you participated in a cooking activity you will always be looking to learn cooking skills and abilities.

Answer:

I hope to learn the basic moves and stances of boxing. I understand that I won't be boxing with another person, but that’s OK. These exercises seem like a good starting point. I really want to understand how to put together combinations. I’ve seen professional boxers throw combinations on TV, but their hands move so quickly that I can’t catch the finer details of the sport. Maybe this will be an opportunity for me to find out more.

Explanation:

Help Please!!!!!!!!!!!!!!!!!!

Answers

The answer is 59.4 degrees.

True or false the weak force also called the weak nuclear interaction is by far the weakest of the four fundamental forces

Answers

Answer:

True

Explanation:

There basically four type of forces in nature that govern the entire laws of nature. These four forces are

1.Gravity.  

2.The weak force.  

3.Electromagnetism.  

4.The strong force.

The weak force as it is called is the weakest of the all the forces mentioned above. It is also called weak nuclear interaction force and is responsible for particle decay.

If a force is applied to an object, which of the following must be true?

Answers

Answer:

D. The force applied will contribute to the total net force.

good luck, i hope this helps :)

heathers uncle has HIV/Aids .after visiting ,heathers uncle kisses her good bye on the cheek. Should heather and her uncle be concerned about HIV transmission ?

Answers

Answer:

no

Explanation:

HIV transmits only during fluid interaction, only if she Heather had an cut exposing the inner skin then HIV can be transmitted

Suppose you have a 34.9 m length of copper wire. If the wire is wrapped into a solenoid 0.240 m long and having a radius of 0.0510 m, how strong is the resulting magnetic field in its center when the current is 11.0 A?

Answers

Answer:

the strength of the magnetic field inside the solenoid is 6.278 x 10⁻³ T.

Explanation:

Given;

length of the wire, = 34.9 m

length of solenoid, L = 0.24 m

radius of the solenoid, r = 0.051 m

current in the solenoid, I = 11.0 A

The number of turns of the wire is calculated as follow;

[tex]N = \frac{34.9}{2\pi \times 0.051} = 109 \ turns[/tex]

The strength of the magnetic field inside the solenoid is calculated as follows;

[tex]B = \mu_0 (\frac{N}{L} )I\\\\B = 4\pi \times 10^{-7} \times (\frac{109}{0.24} )\times 11.0 \\\\B = 6.278 \times 10^{-3} \ T[/tex]

Therefore, the strength of the magnetic field inside the solenoid is 6.278 x 10⁻³ T.

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

Answers

Answer: d

Explanation:

You place a piece of bread in a toaster. A minute later, the toast pops up. What evidence tells you an increase in temperature caused a chemical change?

Answers

if your not able to reverse it that means it is a chemical change and with toast you cant reverse the color if the color has changed that most likely means it is a chemical change.

A long solenoid that has 920 turns uniformly distributed over a length of 0.380 m produces a magnetic field of magnitude 1.00 10-4 T at its center. What current is required in the windings for that to occur?

Answers

Answer: 0.0328 A

Explanation:

Given

No of turns [tex]N=920[/tex]

Length of solenoid [tex]L=0.380\ m[/tex]

Magnetic field [tex]B=10^{-4}\ T[/tex]

the magnetic field at the center of the solenoid is

[tex]\Rightarrow B=\mu nI=\mu \dfrac{N}{L}I[/tex]

Putting values we get

[tex]\Rightarrow 10^{-4}=4\pi \times 10^{-7}\times \dfrac{920}{0.380}\times I\\\\\Rightarrow I=\dfrac{0.380\times 1000}{920\times 4\pi}=0.0328\ A[/tex]

William drew a diagram of a box containing a gas for his science project. His drawing is shown.

Answers

Question? U need a drawing

The offspring resulting from sexual reproduction are exactly like their parents.

false

true

Answers

Answer:

false

Explanation:

As both parents contribute half of the new organism's genetic material, the offspring will have traits of both parents, but will not be exactly like either parent

Answer:

False

Explanation:

The only time you end up like your parent is asexual reproduction

If the area of a concrete slap weighing 300n is 400cm2 ,how much pressure can it apply when kept on the ground

Answers

Answer:

7500 N/m²

Explanation:

From the question given above, the following data were obtained:

Force (F) = 300 N

Area (A) = 400 cm²

Pressure (P) =?

Next, we shall convert 400 cm² to m². This can be obtained as follow:

1×10⁴ cm² = 1 m²

Therefore,

400 cm² = 400 cm² × 1 m² / 1×10⁴ cm²

400 cm² = 0.04 m²

Finally, we shall determine the pressure. This can be obtained as follow:

Force (F) = 300 N

Area (A) = 0.04 m²

Pressure (P) =?

P = F/A

P = 300 / 0.04

P = 7500 N/m²

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?

Answers

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

HELPP ME IN PHYSICS +15 POINTS!!
But a right answer not links or I’ll report. -_-

Answers

The answer shud be 31 . 14m

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