if the radius of the fillet weld connecting the shafts is r=13.2mm , and the allowable shear stress for the material is τallow=159mpa , determine the maximum power the shaft can transmit.

After the Big Bang, it took the universe 3 minutes to become cool enough for neutral atoms to form.

During the first moment, immediately after the Big Bang, the universe was too hot for nuclei and electrons to combine into the kinds of neutral atoms that are familiar to us today.

In the first three minutes after the Big Bang, these protons and neutrons began fusing together, forming deuterium also known as heavy hydrogen.

Thus, after the Big Bang, it took the universe 3 minutes to become cool enough for neutral atoms to form.

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The horizontal force exerted by air resistance on the bucket is 5,210 N.

The horizontal force exerted by air resistance on the bucket is the parallel force on the cable carrying the bucket.

The magnitude of this force is calculated as follows;

Fx = mg cosθ

where;

Fx = (590 x 9.8) x cos(25.7)

Fx = 5,210 N

Thus, the horizontal force on the bucket is determined from parallel force on the rope.

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Answer:
1.)the surface of the table is set into vibration
2.)the initial vibration was larger
3.)The entire table vibrates

Explanation:hope this helps :3 have a good day xlXCherryColaXlx..(pls mark me brainliest)

Answer: Food chain: cheese a product of the sun.

Explanation:

Food chain: The energy taken from the sun through photosynthesis enables plants to exist and grow.

The animal like cow takes chemical energy from plants by eating plants product.

The cow is able to produce the milk because of the energy that has been taken from the plant.

Since the cheese came out from the milk, we can therefore conclude that the food is initially a product of the sun.

Answer:

D. attraction

Answer:

attraction

Explanation:

gravity attracts, electromagnetic force can attract, and both strong and weak nuclear forces hold together an atom, attracting at some points

edge2020

Answer:

a)

Explanation:

work done = Fscosθ

=(10)(5)(cos0⁰)

=50J

Answer:

Following are the solution to the given points:

Explanation:

In this question, some of the values are missing, that's why its solution can be defined as follows:

In point a:

Density of air \(\rho_{air} =1.29 \frac{kg}{m^3}\\\\\)  

Density of helium \(\rho_{helium} =0.178 \frac{kg}{m^3} \\\\\)

The volume of the helium balloon \(V= 2L\)

\(\to V= 2 \times 10^{-3}\)

Formula:

\(F_B = e_a V g\\\\\)

\(= 1.29 \times 2 \times 10^{-3} \times 9.81\\\\ = 0.0253098 \ N\)

where g is the acceleration due to gravity

In point b:

\(m_g= 1.5 \ g\)

Formula:

\(F_{net}=F_B - (m_r + \rho_h \ v )g\)

       \(= 0.0253098 - (1.5 \times 10^{-3} + 0.178 \times 2 \times 10^{-3} \times 9.81)\\\\= 7.10244 \times 10^{-3} \ N\)

The cause of the ice ages is a complex and multifactorial phenomenon that cannot be attributed to a single cause. However, scientists believe that several factors played a role in triggering the ice ages, including changes in the Earth's orbit, the tilt of the Earth's axis, and variations in the amount of solar radiation that the Earth receives.

These factors can affect the distribution of sunlight and heat across the planet, which in turn can impact the growth of glaciers and the amount of ice on Earth.

Other factors that may have contributed to the ice ages include volcanic activity, the size of tree rings, the amount of pollen grains, and even cosmic events like solar flares and gassy ejections from the sun.

Overall, the cause of the ice ages is a long answer that involves multiple factors working together in complex and dynamic ways.

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Answer:

we must multiply the speed value by 3.6

Explanation:

To reduce a magnitude from one unit to another, it must be multiplied by the equivalence in the order necessary so that the units do not change.

To reduce speed from m / s to km / h

we write the speed and the two conversion factors

         v [m / s] [1 km / 1000m] [3600 s / 1h

         v 3600/1000

          v 3.6

therefore we must multiply the speed value by 3.6

Answer:

05 m/s =378 km/h

Explanation:

we have to convert the meters per second into kilometers per hour.

1m /sec = (1/1000)/ (1/3600) km/h = 3600/1000 km /h

divide 105 by 1000, and multiply it by 3600.

105 /1000 x 3600 = 378 km/h

The beam will exit the water about 0.67 meters away from the entry point.

When the laser beam enters the water, it bends due to the change in refractive index between air and water. The angle of refraction can be calculated using Snell's law:

n1 sin θ1 = n2 sin θ2

where n1 and θ1 are the refractive index and angle of incidence in air, and n2 and θ2 are the refractive index and angle of refraction in water. Assuming a refractive index of 1.33 for water, we have:

1.00 sin 29° = 1.33 sin θ2

Solving for θ2, we get θ2 ≈ 21.2°.

When the beam hits the mirror, it reflects at the same angle of incidence. Therefore, the angle of incidence and refraction at the interface between the mirror and water are also 29° and 21.2°, respectively.

As the beam exits the water, it bends again due to the change in refractive index. This time, the angle of incidence is 21.2° and the angle of refraction in air can be calculated as:

1.33 sin 21.2° = 1.00 sin θ3

Solving for θ3, we get θ3 ≈ 16.3°.

Finally, we can use simple trigonometry to find the distance x between the water entry point and the point where the beam exits the water:

x = 2.3 m tan θ3 ≈ 0.67 m

Therefore, the beam will exit the water about 0.67 meters away from the entry point.

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That the force opposes the car's motion, and the magnitude of the work is 8.05 × 10³ J, rounded to three significant figures.

To calculate the work done by the force, we use the formula: Work = Force × Distance × cos(θ), where θ is the angle between the force vector and the displacement vector. In this case, the force vector F is given as\(\vec{F} = (-68.0 , \text{N}) \hat{\imath} + (36.0 , \text{N}) \hat{\jmath}\), and the car travels a distance of 44.0 m in a direction 240.0° counterclockwise from the +x-axis. The angle between the force vector and the displacement vector is equal to the angle between the +x-axis and the displacement vector.

Substituting the given values into the formula, we have: Work = (-68.0 N) × 44.0 m × cos(240.0°). Calculating the cosine of 240.0° gives us -0.5. Plugging this value into the formula, we find that the work is -8.05 × 10³ J. This negative value indicates that the force acts in the opposite direction of the displacement, opposing the car's motion. Therefore, the work done by the force on the car is 8.05 × 10³ J.

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The external work done can be calculated by multiplying the loads by their corresponding distances and summing them up.

To calculate the external work done on the slab, we first consider the line load of 5 kN/m along the unsupported edge 2-3. The length of this edge is 4 m. Therefore, the external work done by the line load can be calculated as 5 kN/m * 4 m = 20 km. Next, we consider the uniform load of 10 kPa applied throughout the slab. The area of the slab is not provided in the given information, so we cannot determine the exact external work done by the uniform load without knowing the dimensions of the slab. However, we can still provide a general explanation. To calculate the external work done by the uniform load, we would need to determine the total area of the slab and multiply it by the load per unit area. Then, the product of the load per unit area and the distance from the centroid of the slab to the point of application of the load would give us the external work done by the uniform load. Without the exact dimensions of the slab, we cannot calculate the precise external work done. However, by considering the provided information, we can outline the steps and concepts involved in determining the external work done on the slab.

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Answer:

Acceleration = 1.25 m/s²

Explanation:

Net force can be defined as the vector sum of all the forces acting on a body or an object i.e the sum of all forces acting simultaneously on a body or an object.

Given the following data;

Force applied = 25 N

Mass = 60kg

The net force acting on the box = 25 + 25 + 25 = 75N

To find the acceleration;

Net force = mass * acceleration

Substituting into the equation, we have;

75 = 60 * acceleration

Acceleration = 75/60

Acceleration = 1.25 m/s²

\(\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}\)

Which of the following is not an example of an abiotic component of an ecosystem :

A . water

B . minerals

C . sunlight

D . bacteria ✓

E . air

Bacteria is a single celled living organism.

\( \#TeeNForeveR\)

D. bacteria is not an example of an abiotic component of an ecosystem.

An ecosystem is a community of living organisms (biotic) interacting with each other and with their non-living (abiotic) environment in a specific area. It encompasses all the living and non-living components of a particular environment and the complex interactions among them.

Here,
Abiotic components are the non-living factors that influence the distribution and abundance of living organisms in an ecosystem. Examples of abiotic components include water, minerals, sunlight, air, and temperature. Bacteria, on the other hand, are living organisms and are considered as biotic components of an ecosystem.

Thus, D. bacteria is not an example of an abiotic component of an ecosystem.

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Answer:

176.4 m

Explanation:

To calculate the distance, the equation would be:

distance = acceleration X time² / 2

Assuming the stone is held at a complete stop before dropping, the acceleration would be equal to gravity which is 9.8m/s².  So:

d = (9.8m/s²)( 6s)² / 2

   = (9.8m/s²)(36s²) / 2

   = 176.4 m

Answer:

B is the answer a force is a push or pull

In an RLC circuit connected to an AC voltage source, the inductance and capacitance determine the resonance frequency. At resonance, the circuit behaves like a purely resistive circuit.

In an RLC circuit connected to an AC voltage source, the resonance frequency is determined by the inductance (L) and capacitance (C) of the circuit. These two quantities have an inverse relationship with the resonance frequency.
Inductance is the property of a circuit that opposes changes in current flow, while capacitance is the ability of a circuit to store electrical energy.
At resonance, the reactance of the inductor (XL) and the reactance of the capacitor (XC) cancel each other out, resulting in a purely resistive circuit. The equation for resonance frequency is given by:
f = 1 / (2π√(LC))
Here, f represents the resonance frequency, and π is a mathematical constant.
To summarize, in an RLC circuit connected to an AC voltage source, the inductance and capacitance determine the resonance frequency. At resonance, the circuit behaves like a purely resistive circuit.

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Answer:

True

Explanation:

So the jumper's beginning speed was 12.47 m/s when the best long jump was measured at 8.00m.

The pace at which an item travels or works is referred to as its speed, which is often defined in terms of distance per unit of time such as meters per second or miles per hour.

Here,

The initial speed of the jumper can be calculated using the following kinematic equation:

d = vit + 0.5a*t²

where d is the horizontal distance (8.00m), vi is the initial velocity, t is the time in the air, and a is the acceleration due to gravity (9.8 m/s^2). The time in the air can be found using the vertical displacement, which is given by:

h = visin(θ)t - 0.5at²

where h is the vertical height (0), θ is the launch angle (39°), and t is the time in the air. Solving for t in both equations and substituting into one of them, we can find the initial velocity:

vi = sqrt(2ad/cos²(θ)) = sqrt(29.88.00/cos²(39)) = 12.47 m/s.

So the initial speed of the jumper was 12.47 m/s when the best long jump is measured as 8.00m.

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Billy Joe's acceleration will be 5 m/s².

To determine Billy Joe's acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

The formula for Newton's second law is:

F = m * a

Where:

F is the net force acting on the object,

m is the mass of the object, and

a is the acceleration.

In this case, the net force acting on Billy Joe is the force exerted by Billy Bob, which is 300 Newtons. The mass of Billy Joe is 60 kg.

Plugging these values into the formula, we can solve for the acceleration:

300 N = 60 kg * a

Divide both sides of the equation by 60 kg:

300 N / 60 kg = a

Simplifying the equation gives:

5 m/s² = a

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Answer:

Choose B

Explanation:

Hope Can I help you

Given:

The length of the metal rod is,

The diameter of the aluminum rod is,

The resistivity of aluminum is,

To find:

The resistance

Explanation:

The resistance of the material is,

Substituting the values we get,

Hence, the resistance is 1.88 mOhm.

The length of the rubber band that the boy must use is 0.024 m or 24 mm.

To determine the length of the rubber band, we can use the formula for the potential energy stored in a stretched spring, which is also applicable to a stretched rubber band:

where U is the potential energy stored in the rubber band, k is the spring constant (or in this case, the rubber band constant), and x is the displacement of the rubber band from its natural length.

Since the rubber band is stretched by 0.25 of its natural length, the displacement x is 0.25 times the natural length of the rubber band.

We can solve for the rubber band constant k by using the formula for the velocity of a projectile launched by a spring (or in this case, a rubber band):

where v is the velocity of the projectile, m is the mass of the rubber band, M is the mass of the projectile, and k is the spring constant. We can rearrange this equation to solve for k:

k = (v² M) / (2 m)

We can now combine the two equations to solve for the length of the rubber band, L:

U = 1/2 k x²

U = 1/2 ((v² M) / (2 m)) (0.25 L)²

U = (v² M L²) / (32 m)

The potential energy stored in the rubber band must be equal to the kinetic energy of the projectile when it is launched:

U = 1/2 M v²

(v² M L²) / (32 m) = 1/2 M v²

L = ((16 m v²) / (k M))

L = ((16 m v²) / ((v² M) / (2 m) M))

L = √(32 m^2 / M)

L = (0.032 M)

Substituting the given values, we get:

L = √(0.032 * 0.006)

L = 0.024 m

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Answer:

Temporary? You have two options

If you have a positively charged object, bring it close to the LEFT side of the ball (not touching it!).

If you have a negatively charged object, bring it close to the RIGHT side of the ball (again, not in contact).

Either way, the electron cloud will migrate towards the right side of the of your sphere.

Another option is to have a capacitor large enough to house the sphere inside it, and polarize it by attaching it to a DC source making sure that the negative plate of it is to the right of the sphere.

Answer:

22. A: 4000m C: 3200

23: The feature at point D is a mid ocean ridge

24. cold and dark

25. E is far closer sitting just on the edge of the ridge

Answer:

  C (only)

Explanation:

Often, we consider the 0 position on a graph like this to be the starting point. However, the position on this graph is indicated as positive at time = 0. The motion shown can be described in each stage as follows.

A: moving away from the starting position toward the reference position (position = 0)

B: stationary at the reference position

C: moving away from the reference position toward the starting position

D: stationary at a point just short of the starting position

E: moving away from the starting position toward, then beyond, the reference position

The two pieces of paper land on the moon's surface at the same time because they are both subject to the same gravitational force.

The force of gravity is determined by the mass of the object and the distance between it and the center of the celestial body. On the moon, the force of gravity is weaker than it is on Earth, but it is still strong enough to cause objects to fall toward the surface.

The shape of the paper, whether crumpled or folded into an airplane, has no effect on the force of gravity acting on it. In the absence of air resistance, all objects, regardless of their mass, shape, or size, will fall at the same rate in a vacuum.

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The magnitude of the electric force on the electron is 2360 N and it points due east.

Electric force is an attractive or repulsive force between two particles that have an electric charge. This force is generated when two charged particles interact due to their charges. The strength of the electric force depends on how much charge each particle has, as well as their distance from each other. Electric forces are responsible for phenomena such as static electricity and lightning, and they can also be used to power electric motors and other devices.

This is because an electric field exerts a force on a charged particle in the direction that is opposite to the direction of the field. Since the electric field points due east, then the force on the electron will point due west.

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Answer:

A................

Explanation:

Hope this helps you

A. increase it's current and increase it's voltage

Explanation: