At a bicycle repair shop, a bicycle tire of mass M and radius R is suspended from a peg on the wall. The moment of inertia of the tire around the peg is 2MR2 . If the tire is displaced from equilibrium and starts swinging back and forth, what will be its frequency of oscillation

Explanation:

[tex]w = mg \\ w = 25kg \times 9.8 \frac{m}{s} ^{2} \\ w = 245\\ [/tex]

The center of mass is the point located in an average position concerning the objects' positions and their masses. (a/3;a/3) is the location of the COM.  

The center of masses of a given system of particles or objects is the position under which all external forces are acting. Any uniform force acts on this point.

This position is the average position of all the components of the system concerning their masses. It can be placed in one, two or three dimensions according to the system.

Coordinate X of the center of masses is given by the following formula,

Xcom = Σ(Ximi) / Σmi

This is the adition (Σ) of each particle position on the X-axis (Xi) multiplied by their mass (mi), and the result divided by the summation of all masses -total mass-.

In the same way, coordinate Y of the center of masses is given by the following formula,

Ycom = Σ(Yimi) / Σmi

This is the adition (Σ) of each particle position on the Y-axis (Yi) multiplied by their mass (mi), and the result is divided by the summation of all masses.

The center of masses is located in the position (X, Y).

According to this framework, we can get the coordinates of the center of masses for this bidimensional system. Coordinates can be expressed in meters or centimeters (m or cm).

Data:

     Particle ⇒ (X;Y)

Coordinate X  ⇒  Xcom =  Σ(Ximi) / Σmi

                             Xcom =  (0m) + (0m) +(am) / m +m +m

                             Xcom =  am / 3m

                             Xcom =  a/3

Coordinate Y  ⇒  Ycom =  Σ(Yimi) / Σmi

                             Ycom =  (am) + (0m) +(0m) / m +m +m

                             Ycom =  am / 3m

                             Ycom =  a/3

Coordinates of the center of masses, (X;Y) = (a/3 ; a/3)

(a/3 ; a/3) is the location of the center of mass in the proposed bidimensional system.

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Answer:

0.25 m

Explanation:

 λ = v/f

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Answer:

Yes, the driver has traveled far enough to reach the office.

Explanation:

Starting at 50 km/h you can break the 50 into 4 sections (50/4 or 1/4 of 50) and that will get you 12.5

45 minutes are 3/4 of an hour which is 50 km/h.

12.5*3=37.5 km (37.5>30)

F_net:-

Now

Apply Newton's second law

Answer:

The liver filters the blood of toxins before it continues through the body. It also removes excess sugar from the arteries. Your kidney then further filters the blood for water-soluble waste and toxins to be excreted and finally, your bladder gets read of that water-soluble waste.

The speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.

The speed of the sound wave can be determined by applying the principle of echoe as shown below;

v = 2d/t

where;

v = (2 x 715) / (13)

v = 110 m/s

Thus, the speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.

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Answer:

Explanation:

The slope of the graph is the spring constant     n/m

Answer:

When the circuit is not connected, the pointer of the ammeter or voltmeter is exactly at zero, thus said to be the instrument has zero error. If the pointer is above the zero mark, the zero error is negative.

Answer:

w = 40 Joules

Explanation:

Formula to get work:

W = F × S

where:

w = work/Joules

F = force/newtons

s = displacement/meters

substitute:

w = 20 × 2

w = 40J

The correct number from the options to describe the length of this metal bar is 15 cm or fifteen centimeters.

The most common units to measure length include:

The unit that should be used is centimeters, considering a rule usually contains centimeters, and this is the unit provided in the image.

Moreover, based on the rule it can be determined the length is 15 centimeters. Other numbers such as 15.0 or 15.000 are innaccurate as there is not need to add more figures in this case.

Note: This question is incomplete because the image is missing. Here is the image

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Answer:

Voyager 1 and 2

Explanation:

Answer:

1389.1

For Acellus

Explanation:

The electric field equals the force exerted by the unit positive charge. The electric field at point P is 3.615×10⁶  N/C. Its unit is N/C.

When a charged particle is got influenced by another charged particle when bring near to it, a field is created by an electric charge. This field is called the electric field.

The electric field is obtained by taking the ratio between Force and unit positive charge. Force in a charge is because of attraction and repulsion. The SI unit of force is Newton (N).

The unit positive charge is the test charge used to analyze the other charges present in the field. The SI unit of charge is Coloumb (C). The charge is responsible for the creation of an electric field.

From the givens,

The charge  q₁ = q₂ = 5×10⁻⁸ C,

The distance of charges from point P, r₁ = 0.424 m; r₂ = 0.636 m.

The net electric field E = E₁ + E₂

Electric field E = F / q

 E₁ = kq₁ / r₁²          (k = 9×10⁹ Nm²/C²)

     =  9×10⁹× 5×10⁻⁸ / (0.424)²

  E₁   = 2.503×10³ N/C.

E₂ = kq₂ / r₂²

    = 9×10⁹× 5×10⁻⁸ / (0.636)²

E₂ = 1.112×10³ N/C

E = E₁ + E₂

  =2.503×10³ + 1.112×10³

  = 3.615×10³ N/C

Hence, the net electric field is 3.615×10³ N/C.

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It is true that as the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1.

Tidal force is the gravitational force that a body on a linear motion experiences which pull the body towards the center of the mass of another varying body because of the gravitational pull of that body at a distance.

Therefore, It is true that as the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1.

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Answer:

h f = W + KE

Input energy equals work function plus KE of emitted electron

W = 6.63E-34 * 2.5E15 - 6.3 * 1.6E-19

W = 6.63 * 2.5 * 10^-19 - 10.1 * E-19 ev     (1ev = 1.6E-19 J)

W = (16.6 - 10.1)E-19 = 6.5E-19 J

h f = 6.5E-19 J        for electrons to be emitted with zero KE

f = 6.5E-19 / 6.63E-34 = .98E-15 / sec = 9.8E-14 / sec  (threshold)

Answer:

273,000 Astronomical Units.

Explanation:

4.3 light years = 40,850,000,000,000 kilometeres, 4.3 x 9,500,000,000,000.

Convert kilometers to astronomical unit:

149,597,870 kilometers = 1 AU, convert unit.

40,850,000,000,000 divided by 149,597,870 = 273,065.385222 or approx. 273,000 AU.

The height, h to which the package of mass m bounces to depends on its initial velocity, v and the acceleration due to gravity, g and is given below:

[tex]h = \frac{v^{2}}{2g}[/tex]

Perfectly elastic collisions are collisions in which the momentum as well as the energy of the colliding bodies is conserved.

In perfectly elastic collisions, the sum of momentum before collision is equal to the momentum after collision.

Also, the sum of kinetic energy before collision is equal to the sum of kinetic energy after collision.

Since some of the Kinetic energy is converted to potential energy of the body;

[tex]\frac{mv^{2}}{2} = mgh[/tex]

[tex]h = \frac{v^{2}}{2g}[/tex]

Therefore, the height to which the package m bounces to depends on its initial velocity and the acceleration due to gravity.

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Answer:

Conduction is the process by which heat energy is transmitted through collisions between neighboring atoms or molecules

Explanation:

Answer:

Mechanization   perhaps

Explanation:

Answer:

option d is your answer

Explanation:

you can find the complete solution in the given attachment

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Answer:

Thrust / Lift / Gravity

Explanation:

He must create enough force of thrust to jump for a short time and gravity pulls him back down almost immediately.

Answer:

gravity and resistance, the man is moving so the force is unbalanced

Explanation:

Answer:

b

Explanation:

it indicate direction of baseball

Explanation:

Parallel circuits are used in wiring almost everything in buildings. You use them to turn on the lights in a room, Use a blow dryer, or plug anything into an outlet

Answer:

Explanation:

I guess so because it has ingredients such as froot loops, frosted flakes, and such plus its liquid.

Answer:

it should be 21,3 kilometer

Answer:

C is radius of sphere

Explanation:

F is C/2