the balance wheel of an old-fashioned watch oscillates with angular amplitude p rad and period 0.500 s. find (a) the maximum angular speed of the wheel, (b) the angular speed at displacement p/2 rad, and (c) the magnitude of the angular acceleration at displacement p/4 rad.

Hormones are substances that communicate with your organs, skin, muscles, and other tissues through your blood to coordinate various bodily functions.

It serves as a sensory organ (touch, temperature detection), aids in temperature control, protects against mechanical, thermal, and physical injury as well as hazardous substances, prevents moisture loss, reduces the harmful effects of UV radiation, has an immune system that can detect diseases, etc.

The six primary functions of the skin are: protection, absorption, excretion, secretion, regulation, and sensation.

Our first line of defence against harmful chemicals, radiation, and poisons is our skin.

The outside world is kept at bay by a skin barrier. is the first line of defence against potentially harmful microbes.

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The resistance in the original circuit is 72.0 Ω.

We can make use of series circuits and Ohm's Law. The sum of the individual resistances in a series circuit determines the total resistance.

Assume that R is the resistance of the circuit's initial configuration (before the inclusion of the additional resistor).

According to Ohm's Law, the following equation can be used to determine the current (I) in a circuit:

I = V / R

where I is the current, V is the voltage, and R is the resistance.

Given that the current in the original circuit is 24.0 A, we can write the equation as:

24.0 = V / R

Similarly, after adding the 24.0-Ω resistor in series, the current drops to 18.0 A. The equation for this scenario is:

18.0 = V / (R + 24.0)

We can set up a system of equations using these two equations and solve for R.

Equation 1: 24.0 = V / R

Equation 2: 18.0 = V / (R + 24.0)

To eliminate V, we can rearrange Equation 1 to express V in terms of R:

V = 24.0R

Substituting this into Equation 2:

18.0 = (24.0R) / (R + 24.0)

To solve for R, we can cross-multiply and simplify:

18.0(R + 24.0) = 24.0R

18.0R + 432.0 = 24.0R

432.0 = 24.0R - 18.0R

432.0 = 6.0R

R = 432.0 / 6.0

R = 72.0

So, the resistance in the original circuit is 72.0 Ω.

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\(\\ \sf\longmapsto 300-70.5=229.5kJ\)

We know

\(\boxed{\sf Efficiency=\dfrac{Used\:Energy}{Supplied\:Energy}\times 100}\)

\(\\ \sf\longmapsto Efficiency=\dfrac{229.5}{300}\times 100\)

\(\\ \sf\longmapsto Efficiency=\dfrac{229.5}{3}\)

\(\\ \sf\longmapsto Efficiency=76.5\%\)

The relative motion of gaseous particles increases with increase in the temperature of the gas molecules just like the motion of popcorn in a popper increases when heat is applied to the popper.

The kinetic theory of gases or matter states that matter consists of tiny particles which are constant motion, colliding with one another and with walls of the containing vessels.

Just like a popcorn in a popcorn popper pops when heat is applied to the popper, gases contained in a cylinder increases their speed when they acquire more kinetic energy as the temperature of the cylinder increases.

Thus, the motion of gas particles depends on the temperature of the containing vessel so also does the random motion of popcorn depends on the temperature of the popper.

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Answer:

10.198 g/cm³

Explanation:

ρ=m/V=123.4/12.1=10.198 g/cm³

Answer:

B

Explanation:

Let's see the formula

If q is positive it yeilds V or potential as positive hence it is at zero potential

Option B is correct

When an engineering team reaches the stage of iterating to improve the solution in the engineering design process, there are various activities that the team might be doing. One of the most crucial activities at this stage of the design process is testing. Here are a few things that an engineering team might do to test and improve the solution:

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Answer:

178.15524 rpm

Explanation:

The first thing we want to do is see what information we are given here. This first bit states that both arms and hands together account for 13% of a person's mass. Respectively the head accounts for 7 percent, and the trunk and legs account of 80% of the mass. We have three key points here so far. The mass of the skater is 70 kilograms, having a height of 1.60 meters, arms that are 66 cm, and a trunk diameter of 33 cm. And of course, the initial angular speed of the skater ( ω ) is 68 reps per minute -

{ Total mass of skater ( \(m\) ) = 70 kg, }

{ Height of skater ( \(h\) ) = 1.60 m, }

{ Diameter of trunk ( \(D\) ) = 33 cm = 0.33 m, }

{ Length of arms ( \(l\) ) = 66 cm = 0.66 m, }

{ Mass of Arms and hand ( \(m_1\) ) = 13%( 70 ) = 9.1 kg, }

{ Mass of Head ( \(m_2\) ) = 7%( 70 ) = 4.9 kg, }

{ Mass of Trunk and legs ( \(m_3\) ) = 80%( 70 ) = 56, }

{ Initial Angular Speed of Skater ( ω ) = 68 rpm }

______

Take a look at the formula( s ) in the attachments. The first attachment represents the initial moment of inertia of the skater, and the second represents the final moment of inertia of the skater. In other words, when the person's arms are outstretched, and when the arms are parallel to the trunk. Let's calculate each -

Arms outstretched

\(I = ( ( 9. 1 )( 0.66 )^2 ) / 3 + ( ( 4.9 )( 0.33 )^2 ) / 10 + ( ( 56 )( 0.33 )^2 ) / 8,\\I = 2.136981\\\)

Arms parallel to truck

\(I = ( ( 4.9 )( 0.33 )^2 ) / 10 + ( ( 56 )( 0.33 )^2 ) / 8,\\I = 0.815661\)

______

The final angular velocity should be the division of the two multiplied by the number of rpm -

2.136981 / 0.815661( 68 rpm )...

( About ) 178.15524 rpm

Do double check my calculations!

Answer:

4 m/s

Explanation:

10/2.5= 4 m/s

Answer:

A

Explanation:

KE = 1/2 mv^2

=1/2(30kg)( 3.4 m/s)^2

=173.4 joules

=1.7×10^2 joules

Answer:

Positively charged objects attract negatively charged objects.

Explanation:

This is due to a law that states 'like forces attract while unlike forces repel. This same concept applies to magnetism. If you put two similar poles together, for example; if you place two south poles together. You feel a separating force between the two poles. But if you place two opposite poles together they attract each other. Hope i helped.

Answer:

Positively charged objects attract negatively charged objects.

Explanation:

hope this helps

Answer:

divergent

Explanation:

When two plates are moving away from each other, we call this a divergent plate boundary. Along these boundaries, magma rises from deep within the Earth and erupts to form new crust on the lithosphere. Most divergent plate boundaries are underwater and form submarine mountain ranges called oceanic spreading ridges.

Answer:

The atmosphere has frozen out into the polar ice caps and permafrost as Mars has cooled.

Explanation: Good luck box BrokenTag27

Answer:

Respect for elders, Honesty, and Reservedness

Explanation:

As a child, due to the nature of my father's job, I grew up in a barrack where people of different ethnic and cultural backgrounds lived. My father is a highly disciplined man who give great values to behavioral values such as respect, honesty and reservedness. His soldier friends who are equally disciplined instill the same values in their wards. They taught us the importance of possessing these great attributes and ensured that there was compliance.

The upbringing I had as a child made me see these three attributes as a lifestyle and they now have an enormous effect in my daily life.

Answer:

Because I was raised using Authoritative parenting I notice some behavioral effects in myself such as brutal honesty, and heavy loyalty.

Explanation:

hope this helps!!!

Answer:

I believe the answer is GPS

Explanation:

Answer:

h = 0.047 m

Explanation:

It is given that,

Radius of an air bubble is 0.0003 m

The surface tension of water is \(7\times 10^{-2}\ N/m\)

We need to find the depth at which an air bubble of radius 0.0003 m will  remain in equilibrium in water. Let it is given by h.

Pressure due to surface tension is given by :

\(P=\dfrac{2T}{R}\) .....(1)

T is surface tension

Also, pressure due to a height is given by :

\(P=\rho gh\)

So, equation (1) becomes :

\(\rho g h=\dfrac{2T}{R}\)

So,

\(h=\dfrac{2T}{\rho gR}\)          

\(h=\dfrac{2\times 7\times 10^{-2}}{10^3\times 9.8\times 0.0003}\\\\h=0.047\ m\)

So, the depth is 0.047 m.

Astronauts always wear spacesuits that provide them with a controlled environment, protection from temperature extremes, and a supply of oxygen to survive in space.

The human body in space would be exposed to the vacuum of space, extreme temperatures, and lack of oxygen. Here's what would happen:
1. Vacuum of Space: In space, there is no air pressure. Without a spacesuit, the body's fluids, including saliva and tears, would boil due to the low pressure. This would lead to rapid evaporation of moisture from the skin, causing dehydration.
2. Extreme Temperatures: Space is extremely cold, with temperatures reaching below -270 degrees Celsius. Without proper protection, the body would quickly lose heat, leading to hypothermia. On the other hand, if exposed to direct sunlight, the body would be exposed to intense heat, resulting in burns.
3. Lack of Oxygen: In space, there is no oxygen to breathe. Within a few seconds, a person would lose consciousness due to the lack of oxygen. Eventually, without oxygen, the brain and other vital organs would cease to function, leading to death.

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Answer:

The current in the circuit is 0.15 Ampere

Explanation:

The given parameters of the cell are;

The electromotive force (e.m.f.) of the cell, E = 1.5 V

The resistance of the cell, r = 2.5 ohm

The resistance of the ammeter = 0.5 ohm

The resistance of the resistor = 7.0 ohm

The formula for the e.m.f., E of a cell is given as follows;

e.m.f. E = I·(R + r)

Where;

I = The current in the circuit

R = The sum of the resistances in the circuit = 7.0 Ω + 0.5 Ω + 2.5 Ω = 10 Ω

Therefore, we have;

\(The \ current \ in \ the \ circuit, \ I = \dfrac{E}{R + r}\)

Substituting the known values, gives;

\(I = \dfrac{1.5 \ V}{7 \ \Omega + 0.5 \ \Omega + 2.5 \ \Omega} = \dfrac{1.5 \ V}{10 \ \Omega} = 0.15 \ A\)

The current in the circuit, I = 0.15 Ampere.

The average velocity of the object over the given intervals can be calculated using the position function s(t) = \(-18t^{2}\) + 54t. The average velocities are as follows: (a) -144, (b) -126, (c) -108, and (d) -18h + 36.

The average velocity of an object can be found by calculating the change in position divided by the change in time. In this case, we are given the position function s(t) = \(-18t^{2}\) + 54t.

(a) For the interval [1,10], the change in time is 10 - 1 = 9. To find the change in position, we evaluate s(10) - s(1):

s(10) = \(-18(10)^{2}\) + 54(10) = -1800 + 540 = -1260

s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36

Change in position = -1260 - 36 = -1296

Average velocity = Change in position / Change in time = -1296 / 9 = -144.

(b) For the interval [1,9], the change in time is 9 - 1 = 8. To find the change in position, we evaluate s(9) - s(1):

s(9) = -18(9)^2 + 54(9) = -1458 + 486 = -972

Change in position = -972 - 36 = -1008

Average velocity = Change in position / Change in time = -1008 / 8 = -126.

(c) For the interval [1,8], the change in time is 8 - 1 = 7. To find the change in position, we evaluate s(8) - s(1):

s(8) = \(-18(8)^{2}\) + 54(8) = -1152 + 432 = -720

Change in position = -720 - 36 = -756

Average velocity = Change in position / Change in time = -756 / 7 = -108.

(d) For the interval [1,1+h], the change in time is (1+h) - 1 = h. To find the change in position, we evaluate s(1+h) - s(1):

s(1+h) = \(-18(1+h)^{2}\) + 54(1+h) = -18(1 + 2h + h^2) + 54(1 + h) = -18 - 36h - \(18h^{2}\) + 54 + 54h = 36h - \(18h^{2}\) + 36

s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36

Change in position = (36h - \(18h^{2}\) + 36) - 36 = 36h - \(18h^{2}\)

Average velocity = Change in position / Change in time = (36h - \(18h^{2}\)) / h = 36 - 18h.

Therefore, the average velocities for the given intervals are (a) -144, (b) -126, (c) -108, and (d) 36 - 18h.

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The force exerted by one plate for two parallel plates arrangement is F = QE/2.

The force exerted by one plate for two parallel plates arrangement is given as follows;

F = QE/2

where;

Thus, the force exerted by one plate for two parallel plates arrangement is F = QE/2.

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Explanation:

Gravity

Gravity is one major force that creates tides. In 1687, Sir Isaac Newton explained that ocean tides result from the gravitational attraction of the sun and moon on the oceans of the earth (Sumich, J.L., 1996).

the spine is divided into four main regions: cervical, thoracic, lumbar and sacral.

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When the core temperature rises, stars start burning helium to carbon. This rise in temperature is brought on by. creating helium by fusing hydrogen in a shell.

When carbon and helium are combined, oxygen is created. Helium burns to create carbon. The star's surface temperature rises as it develops into a horizontal branch star as its core becomes rich in carbon and oxygen nuclei. When their brilliance remains constant, stars with masses larger than or equal to the Sun shrink and get hotter.

When it becomes heated enough, hydrogen in a shell outside the core can begin to fuse. The exterior is expanding.

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Jane's rate along the summit was 25 mph.

Let's assume that Jane's rate along the summit is represented by the variable "x" in miles per hour. We know that she rode 72 miles uphill at a rate that was 5 mph slower than her rate along the summit. Therefore, her rate uphill would be (x - 5) mph.

To find her average rate for the entire journey, we can calculate the total time taken for each segment and divide it by the total distance covered.

Time taken to ride uphill = Distance / Rate

Time taken to ride uphill = 72 miles / (x - 5) mph

Time taken to ride along the summit = Distance / Rate

Time taken to ride along the summit = 21 miles / x mph

Since the total time taken for the entire journey is 3 hours, we can write the equation:

Time taken to ride uphill + Time taken to ride along the summit = Total time

72 / (x - 5) + 21 / x = 3

By solving this equation, we find that x = 25 mph. Therefore, Jane's rate along the summit was 25 mph.

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Heya!!

For calculate aceleration, lets applicate second law of Newton:

                                                   \(\boxed{F=ma}\)

                                                 Δ   Being   Δ

                                             F = Force = 78,3 N

                                            m = Mass = 24,5 kg

                                             a = Aceleration = ?

⇒ Let's replace according the formula and clear "a":

\(\boxed{a=78,3\ N / 24,5\ kg}\)

⇒ Resolving

\(\boxed{a=3.19\ m/s^{2}}\)

Result:

The aceleration is 3,19 meters per second squared (m/s²)

Good Luck!!