a group of ten friends, each of mass 50kg, want to test the strength of a trampoline. at their highest jump, each friend is 2m above the trampoline. they all land on the trampoline at the same time and decelerate at a constant rate to a point of zero velocity over a period of 0.5s. the trampoline has a threshold of 5000n, above which it breaks. do the friends succeed in breaking their trampoline? neglect air resistance and the distance the trampoline sags as a result of the friends landing.

307.4 μW/m² average magnitude of the poynting vector 5.00 mi with an average power of 250 kw?

S-average=power/area

power=250 kw

area=4π(8045)²

S-average=250/4π(8045)²

S-average=307.4 μW/m²

Power is produced when a force causes a displacement. Power has no bearing on how long it takes for a force to cause a displacement. The process's pace might range from swiftly concluding to taking some time. For example, it takes an abnormally long time for a rock climber to elevate her body a few meters over the cliff's edge. On the other hand, a trail hiker may swiftly raise her body a few meters if she selects the faster path up the mountain. Despite making the same amount of work, the hiker completes the task far quicker than the rock climber..

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The self inductance of a solenoid is 157.9 * [tex]10^{-4}[/tex] H

Self inductance is defined as the property of a current-carrying coil that resists or prevents the current passing through it from changing.

• It is represented by L

• The unit for the self inductance is Henry denoted by H.

• Mathematically, it is L = ц[tex]N^{2}[/tex]A / l

where

ц is the vacuum permeability = 4π *  [tex]10^{-7}[/tex]

N is the number of turns of the solenoid = 100

A is the area of one loop of the solenoid = π [tex]r^{2}[/tex]

( r = 2m )

A = π [tex]r^{2}[/tex] = 4π

l is its length

So the self inductance of the solenoid will be

L = 4π *  [tex]10^{-4}[/tex] * 100*100 * 4π / (10)

L = 16π² *  [tex]10^{-4}[/tex] H

L = 157.9 *  [tex]10^{-4}[/tex] H

The self inductance of this solenoid is 157.9 *  [tex]10^{-4}[/tex] H

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Knowing the power of the units and the electromagnetic waves is necessary to calculate the net energy unit.

What is power?

Power is the work completed in a given amount of time or time spent working. The joules per second (J/s)-based SI power unit is the Watt (W). Horsepower (hp), roughly equal to 745.7 watts, is sometimes used to describe the power of machines like motor vehicles.

What are electromagnetic waves?

Magnetic and electric fields vibrate together to produce electromagnetic waves, also known as EM waves. In other words, oscillating magnetic and electric fields make up electromagnetic waves (EM).

P=I*A=t=E/t

E=I*A*T

I= 153W/M^2

A=18.2*45.1*10^-4

A=0.082082

t=1.22mins = 1.22*60^S

t= 73.2

applying the formula E=I*A*T

E= 919.2855j

Therefore, the net energy absorbed in 1.22 min is 919.285j.

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The tension in the cable is 4248 N.

The force transmitted through a rope, string, or wire when two opposing forces pull on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

Given parameters:

Weighs of the elevator, M = 300.0 kg.

weighs of Joey, m = 60.0 kg.

Upward acceleration of the elevator, a = 2.0 m/s².

And, acceleration due to gravity, g = 9.8 m/s².

So, net tension in the cable, T = (M + m)g + (M + m)a

= ( 300.0 + 60.0 ) × 9.8 N + (300.0 +60.0 )× 2.0 N

= 4248 N.

Hence, the tension in the cable that pulls the elevator upwards is 4248 N.

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When using a schematic for troubleshooting, the best property to follow is the meter and is denoted as option B.

This is referred to as any type of device which is built to accurately detect and display an electrical quantity in a form which is readable by a human being.

Examples of meters which are used by people include voltmeter, ohmeter etc which are used to read voltage and current respectively. It is used to troubleshoot when schematics are used as certain parameters are detected and analyzed so as to detect the issue and solve it appropriately.

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Answer:

10s [seconds]

Explanation:

[tex]t = \frac{v}{a} [/tex]

The charge for a procedure or accepting fees that are predetermined by the plan is dependent on the patient's ability to pay.

Doctors and surgeons deal with maintaining health as well as diagnosing and treating illnesses and injuries. In addition to conducting physical examinations and medical history inquiries, doctors also order, carry out, and interpret diagnostic tests. Patients frequently receive advice from them on food, cleanliness, and preventative healthcare.

Physician labor is the part of the Medicare Physician Fee Schedule that represents the overhead expenses related to a service.

While precertification gives the provider permission to provide the medical service, preauthorization specifically establishes the dollar amount approved for the medical procedure.

The main distinction between doctors and physicians is that doctors typically specialize in a field of practice while physicians typically have a more general background.

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The equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton's third law is the weight and the reaction force from its effect.

This is referred to as a device which is used in the vertical transportation of goods and people among the floors in a buildings.

When an individual steps into the elevator, the weight acts on it and it is known as a downward force while the reaction acts upward in an opposite reaction as described by Newton's third law in this scenario.

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The wavelength of the electromagnetic radiation emitted by your phone is 1.578meters.

The name given to the recognized range of electromagnetic radiation is the electromagnetic spectrum (EMS). The frequency decreases from 3×10²⁶ Hz to 3×10³ Hz as wavelengths rise from around 10⁻¹⁸ m to 100 km.

The wavelength is the separation between two wave crests, while troughs have the same wavelength. Frequency, measured in cycles per second (Hz), is the number of vibrations that pass over a certain location in a second (Hertz).

Given,

Frequency  = 1900 mhz = 1900×10⁶,

velocity = 3×10⁸,

Wavelength = v/F

Wavelength = 3×10⁸/ 1900×10⁶

Wavelength = 1.578meters.

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The total force resisting the motion of the boat will be 26850.6 Newton when an outboard motor for a boat is rated 35 hp.

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The Kinetic Energy of the given body is 100,000

Kinetic energy is the energy possessed by a body as a virtue of its motion or movement. It is defined under Mechanical energy.

The mechanical energy of a body is always conserved. Potential energy along with Kinetic energy maintains the mechanical energy of a body.

If talking solely about mechanical energy the dip in one leads to a rise in the other.

The potential energy of a body is the energy possessed by the virtue of its position in distance from the surface of the Earth.

The formula of Potential energy is=mgh

where h is the distance from the surface of the earth where the body is placed

while g is the gravitational force exerted by the earth on the body

The formula of Kinetic Energy is: 1/2xmx[tex]v^{2}[/tex]

m=2000kg (Provided in the question)

v=10m/s (Provided in the question)

Then Kinetic Energy of the body=1/2x m x [tex]v^{2}[/tex]

putting values in the equation

K.E=1/2 x 2000 x [tex]10^{2}[/tex]

K.E=1/2 x 2000 x 100

canceling 2000 by 2

K.E = 1000 x 100

K.E= 100,000

Where Kinetic energy is represented as K.E

Thus, the Kinetic Energy of the given body is 100,000

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The earth's atmosphere is transparent to most waves is visible part of the spectrum.

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The height is 0.32788meters or 31.78 cm.

According to the principle of buoyancy, the weight of a floating body equals the weight of the liquid displaced by its submerged part. Therefore, the ship can float on water. Because its weight is equal to the weight of the water you are trying to displace. Each float displaces the swimming liquid by its own weight. Just like a ship floats freely in the water.

The weight of the container must equal the weight of the volume of water displaced by the container. Displacement is the amount of water a ship displaces. If the buoyancy equals the object's weight, the object will remain buoyant at the current depth. Buoyancy always exists whether an object is floating, submerged, or floating in a liquid. When the boat floats, its weight equals the weight of the volume of water displaced.

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(a) The acceleration (in m/s²) of the two blocks is 4.42 m/s².

(b) The tension (in N) in the string connecting the blocks is 63.65 N.

The acceleration of the blocks is determined by applying Newton's second law of motion as shown below.

F(net) = ma

where;

F = m₁a + m₂a

F = a(m₁ + m₂)

a = F/(m₁ + m₂)

where;

a = (153) / (14.4 + 20.2)

a = 4.42 m/s²

The tension (in N) in the string connecting the blocks is calculated as follows;

T = m₁a

T = 14.4 x 4.42

T = 63.65 N

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Given that A was stiffer than B (KA > KB), the force given to both springs is the same for A, whose spring constant is higher than B's but whose expansion is smaller, and whose work will thus be less than B's.

The equilibrium length of a perfect spring exists. When a spring is squeezed, a force pushing each end apart has a magnitude proportional to the length drop from the equilibrium length.

Hooke aimed to show how a spring's elasticity and the forces acting on it are related. According to Hooke's Law, a spring's extension is proportional to the load placed on it. As long even as load does not exceed a material's elastic limit, a variety of materials abide by this rule.

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The total distance travelled is 100 m.

We know that distance is a scalar quantity. Let us note that scalar quantities are the quantities that do not have a direction rather they do have  magnitude. This is where the vector is different from the scalar quantity in physics.

Looking at this description, we are told that the polar bear walks 40 meters North, then 20 meters East , then 40 meters south. We can see that the total distance can be obtained by the addition of all the distances travelled.

Total distance travelled is; 40 + 20 + 40 = 100 m

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The ball will continue to advance at a speed of 2.0 m/s once it rolls off the edge of the table until it lands on the ground after 0.45 seconds.

The ball is behaving just like it has been dropped. Nature is unconcerned by the fact that it is also advancing.

D=1/2gt2 and T=√2d/g

By entering the table's height and the gravitational acceleration, we can calculate the time in seconds:

t= √2(1.5m)/9.8m⋅s−2 = 0.553s

So, for a little bit longer than a half-second, the ball will be in the air (and thus able to move ahead). To find the distance travelled, we simply reverse the speed equation, s=dt, and insert in the speed and time:

d= 20m/s(0.553s)= 1.11m

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Answer:C) he does less work coming back because the force moving the wagon is only 50cos30

Explanation: got it right on edge

The amount of work Trevor performs going to the corner compared with the amount of work he performs coming back is that   he does less work coming back because the force moving the wagon is only 50cos30°

Since the formula, we refer to for calculating the work, when the angle is applied is:

Wₓ = W cos θ, where for the case the  θ is  30  and W is 50

Since the force done is  parallel to the motion's direction, and the work  has a larger magnitude, the work done in order of pulling the wagon back to the starting point is less than the work done in pulling the  wagon to the corner, as  the reason is for the  angle of 30 degrees in pulling it back

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342.5 N of force must she exert to stay on if she is 0.891 m from its center while 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min

Since we are given the mas of the child  which is  22.0 kg and the number of revolutions which is 40.0 rev/min   which will be  :

n=2*3.14 *40.0 /60  = 4.18 radians/s

and the distance from the center is  0.891 m( r). The formula we are referring to calculates the centripetal force :

F= m(n)²* r

=22(4.18)²*0.891

= 342.49 = 342.5 N

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To determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop, you can use the right-hand rule.

If you're confused of what the direction of the magnetic field around a current-carrying wire is supposed to be, you can use the right-hand rule to conveniently figure out the direction. To use this right-hand rule, first curl your right-hand fingers and then point your right thumb in the direction of the current in the wire. Your right-hand fingers will be curled in the same direction as the direction of the magnetic field around the current-carrying wire.

There is another type of the right-hand rule. This type of right-hand rule is used to identify the direction of axes or parameters that point in three dimensions.

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The acceleration of the wheelbarrow is 0.621 m/s^2 .

There will be equal force applied on both side, in that case the object will be having zero motion and zero acceleration.

But in the case when there is more force applied in one direction than other side force then there will be acceleration on the object.

This acceleration is equal to the ΔF/m.

where ΔF is the difference of the forces applied on the both direction

and m is the total mass of the object.

According to the question, we have m = 37Kg

ΔF = (36-13) n = 23 n

so a = 23/37 = 0.621 m/s^2

so acceleration of the wheelbarrow is 0.621 m/s^2 .

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The correct answer is option C.

The atmosphere of Saturn appear to have only half the helium content of Jupiter because Saturn is so much colder, helium does not show up as strongly in its spectrum.

The planet Saturn is a giant ball of gases including hydrogen, helium and methane. All these gases make up a thick atmosphere of the planet.

In general, the concentration of hydrogen is about 96.3%, helium 3.25% and methane 0.45%.

Clouds on Saturn are composed of ice crystals of ammonia and the temperature is around -400F which is much colder then Jupiter.

Thus, atmosphere of Saturn appear to have only half the helium content of Jupiter because Saturn is so much colder.

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The force (F) exerted on the mower of mass 24 kg is 2.125 N and The distance the mower will travel when before it stopping when F is removed is 0.53m.

Force can be defined as the product of mass and acceleration.

To calculate the force the person is exerting on the mower, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Also, To calculate the distance the mower will move before stopping, We need to first find the acceleration of the mower using the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 2

Finally, we use the formula below to calculate the total distance the mower will travel before stopping

Formula:

Where:

From the question,

Given:

Substitute these values into equation 3

Hence, the force exerted on the mower is 2.125 N and the distance the mower will travel before it stops is 0.53m.

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Based on an object's separation from the Earth, gravitational energy is potential energy that can be stored there.

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Its length is 6.6m.

Length contraction is a phenomena where a moving object's length is measured to be less than it actually is.

When an object is travelling faster than the viewer, but not at the speed of light, length contraction is seen. The relativity of space and time is the cause of this. The two extremes of a moving object will send out signals like light at somewhat different intervals to an observer watching the thing.

Using the relationship between length contraction,

l = l₀[tex]\sqrt{1-\beta^{2} }[/tex]

β = v/c

l₀ = 10m

v = 0.75c

v/c = 0.75

In place of, we have

l = 10×[tex]\sqrt{1-0.75^{2} }[/tex]

l = 10× 0.66

l = 6.6m.

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Answer:

11.56 m/s

Explanation:

The momentum of the ball is transferred into the pin so the transfer of momentum has the formula, m1*v1 = m2 * v2

substituting the values,

5.1 * 3.40 = 1.5 * V2

17.34 = 1.5 * V2

V2 = 17.24 / 1.5

V2 = 11.56 m/s

In the first step in the proton-proton chain, the positron gets rapidly converted to energy when it meets a standard electron, leading to matter-antimatter annihilation.

The positron is an antiparticle or antimatter counterpart of the electron. It persists an electrical charge of +1e, a spin of 1/2, and a mass identical to the mass of the electron. When a positron collides with an electron, destruction occurs. If this collision is at low energies, it leads to the production of two or more photons. They're created by radioactive decay or by the pairing of two protons at high energies.

The proton-proton chain is a nuclear fusion. The proton-proton fusion is initiated only when the kinetic energy of the proton is high enough to undergo the electrostatic repulsion.

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When father uses a rope to pull a child on a sled at a constant speed then the sum of all the forces acting on sled is zero.

Forces such as normal force, force of gravity, force of friction, tension and air resistance are present.

But as the father pulls the sled with constant speed then the the sum of all the forces acting on the sled becomes zero.

As there is no movement in upward or downward directions then the weight of the child and the sled is equal to the normal force acted upon the sled by ground.

The force which is applied by the father on the rope is equal to the tension in the rope.

Friction and air resistance act opposite to the direction of motion of the sled and as sled moves at constant speed, tension in the rope must be equal to the sum of friction and air resistance forces.

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It is a diagram with the parts of the rainforest labeled