Force Problem: Four concurrent forces are applied to a 5 Kg mass: 50 N North, 25 N East, 35 N South, and 35 N West.

a. Find the resultant force on the mass.

b. Find the acceleration of the mass.

c. What equilibrium force will sustain equilibrium?

d. What will be the acceleration of the object if it’s mass doubles?

e. Find the equilibrium force if all the initial forces are doubled.

Yes , Astronomer Edwin Hubble was able to determine the distance .

What is Shapley-Curtis debate ?

The dispute between Shapley and Curtis centered on the existence of other galaxies, with Curtis asserting the existence of other galaxies and Shapley asserting that the other nebulae observed were part of the Milky Way. The argument came to a final conclusion when Hubble was able to show that the Andromeda galaxy is over a million light years away and not part of our galaxy. We were able to determine the distance to a variable star in the Andromeda galaxy more than a year away.

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The velocity Vb of the bowling ball will be same as that of the cricket ball when dropped simultaneously from the same height. Because the velocity while hitting the ground is not dependent of mass.

Let us consider a general case,

Let us say the ball is dropped from a height H, its final velocity on reaching the ground is V, the acceleration g will be constant because everything is happening on the earth's surface and neglecting the air drag,

So, using equation of motion,

V ²-U²=2gH

U is the initial velocity in of the ball which is zero in our case,

So,

V²=2gH

V =√2gH

As we can see, the velocity on hitting the ground is independent of the mass.

So we can say,

Vb of the balling bowl is same as that of Vc on hitting the ground.

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If net force acting on object is 0, then the force is considered to be balanced (option A).

A net force refers to the sum of all the forces acting on an object.

The net force can accelerate a mass. Some other force acts on a body either at rest or motion. The net force is a term used in a system when there is a significant number of forces.

Fnet = F₁ + F₂ + F₃.............+ Fn

When the net force of an object is zero (0), this means that the sum of forces acting on the object is balanced. A balanced forces are forces that are opposite in direction and equal in size.

Therefore, a net force of 0 is a balanced force.

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In a crash rear-seat passengers in a vehicle can fly ahead with first-rate force injuring or killing passengers in the front seat. Option A.

There is a common misconception that people are safer in the back seat, but the reality is that rear-seat passengers who are not buckled up are more likely to die in a crash. Upon impact, they're often thrown forward into the back of front seats with significant force. Sit upright and you will have the least chance of getting an auto injury.

It will keep you secure and will lower your risk for serious injury. Headrests also protect you in the event of an accident. consistent with a recent study by the Insurance Institute for Highway Safety IIHS the back seat is no longer the safest place. In fact, sitting in the front seat increases your chances of surviving a car accident.

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Answer:

d: temperature

Explanation:

temperature doesn't have anything to do with sound

Given the fact that the friction between the van and the road would increase, then the sand bags would help.

The term friction has to do with the force that opposes the movement of an object on another. This in a sense implies that the frictional force is a resistive force. It can help to slow an object down and this is why the braking system of a car operates on the principle of friction.

Now, we are told that to negotiate a flat (unbanked) curve at a faster speed, a driver puts a couple of sand bags in his van aiming to increase the force of friction between the tires and the road.

The task is to determine if the sand bags would be of help. We have to note that the sand bags would help to increase the friction between the car and the road so it would definitely be of help.

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Answers:

Distance = 40 meters

Displacement = 0 meters

============================================

Reason:

The distance traveled is simply the sum of the two distances 20 and 20 to get 20+20 = 40. It's what anyone would expect when they ask "how far did the person travel in total?"

The displacement is the change in position from start to end. In this case, the student ends up back where they started, meaning no change has happened. If the teacher closed their eyes and opened them after the student gets back, then for all the teacher knows, the student hasn't moved at all.

Put another way, displacement tells us how far away the student has ended up compared to the start position. But since they went back to the start, no change has occurred.

A tourist was chased by a moose and run toward her car at a speed of 4.6 m/s. As the tourist reaches her car safely, the maximum possible value of the distance between her and the car was 34.5 m

Formula:

s = v . t

Where:

s = distance

v = velocity

t = time

The tourist reached her car safely means at minimum she had the same time with the moose to reach the car.

Tourist circumstance:

distance = d

v = 4.6 m/s

time to reach the car:

t_tourist = d / 4.6

Moose circumstance:

distance = d + 46.5

v = 10.8

time to reach the car:

t_mouse = (d + 46.5) / 10.8

t_tourist = t_mouse

d / 4.6 = (d + 46.5) / 10.8

(10.8 - 4.6) d = 46.5 × 4.6

6.2 d = 213.9

d = 34.5 m

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Logarithmic decrement is the ratio of successive amplitudes in a time series.

The logarithmic decrement δ is equal to the natural logarithm of the ratio of two successive maximum deflections x of oscillating quantity in the same direction:

δ = log( [tex]x_{1} /x_{2}[/tex])

Logarithmic decrement is used to find the damping ratio of an underdamped system in the time domain. It is defined as the natural logarithm of the ratio of any two successive amplitude on the same side of the mean line.

Therefore we get that logarithmic decrement is the ratio of successive amplitudes in a time series.

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Answer:

honestly not sure what to do good luck though

At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis and the radius of a chamber            r= 0.387 m

Given

  Mass of the person m = 70.2 kg

  speed v = 3.09 m/s

  Force F = 560N

-------------------------------------------

  We have the formula for the force is given by

           F = ( mv2) /r

 The radius of the chamber is given b y

          r = ( mv2) /F

           =  ( ( 70.2 kg)(3.09 m/)2) /(560N)

         r=0.387 m

A circle's or a sphere's radius is the distance along a line connecting its centre and perimeter. From any point on the circle's or sphere's circumference to the centre, the radius' length is constant. Its length is halved by its diameter. The radius is a line segment connecting the centre of a circle or sphere to its perimeter or boundary in geometry.You'll require more effort as you reduce the radius because you're dividing by a lower force.

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The average fluid velocity (in m/s) is 3.636 m/s.

The volume of fluid moving past a spot in a given amount of time is measured as the flow rate. Circular and noncircular pipelines both experience fluid flow in daily life.

From the question we have given:

The diameter of the pipe (l) is  3.00 cm or 0.0300 m.

The magnetic field (B) is  0.550 T.

The hall voltage (E) is  60.0 mv or 60 x 10⁻³ v.

  [tex]v = \frac{E}{Bl}[/tex]

The average fluid velocity can be calculated using the equation E = Blv.

In this instance, the width really corresponds to the diameter:

[tex]v = \frac{60 \;*\; 10^{-3} \;V}{0.0165\; m} \\[/tex]

[tex]v = 3.636 \;m/s[/tex]

Thus, the average fluid velocity is 3.636 m/s.

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A heavy vehicle of mass 200 tones has a maximum speed of 20m/s up a hill inclined at 1.15 degree to horizontal when the engine is working at 800 kilowatts.  The resistance to motion of the truck will be 800 N

We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s).

since , Power = Force * velocity

Force = power / velocity

          = 800 * [tex]10^{3}[/tex]/ 20 = 4 * [tex]10^{4}[/tex] N

F net = 0

F - friction force - mg(sin (theta)) = 0

4 * [tex]10^{4}[/tex]  - fr - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15) =0

fr = resistive force = 4 * [tex]10^{4}[/tex] - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15)

fr = 800 N

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Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because the light waves travel the same distance from each slit to the midpoint.

Because it is composed of magnetic and electric fields, light frequently exhibits wave behavior and is thus categorized as such an electromagnetic wave. Magnetic fields are perpendicular to each other and fluctuate perpendicular to the wave propagation direction. These are referred to as transverse waves as a result.

Photons are discrete energy packets that make up light. Photons move at the speed of light, possess momentum, and lack mass. Light possesses both wave-like and particle-like properties.

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Radial acceleration of the ball during its circular motion is 41.8 m / s².

a = v ²/ r represents the circular motion acceleration.

In addition, they provide the X and Y positions at which the body will fall if the rope breaks.

x = v₀x t,

y = v₀x t-1/2gt²

because the circle is horizontal, the value of v0x is zero (v0x = 0).

X = v₀x t

t = x / v₀x

y = - 1/2 g t²

In order to determine the initial velocity on the X axis, let's replace it with y = − 12 g (x / vox) ²

v₀ₓ = √ [ (9.8) 1.6² / (21)]

v₀ₓ = 3.54 m / s

Its circle is in a horizontal position, so in addition to being the horizontal velocity, this is also the velocity of the body at the point of rupture.

The radial acceleration is now calculated using the formula

a = v² / r

a = 3.54² / 0.300

a = 41.8 m / s²

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the center of mass of the two cars moving is with a speed of 61.41m/s

What is  center of mass  ?

A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass. The centre of mass for straightforward stiff objects with homogeneous density is found at the centroid.

The center of mass also functions as a location at which inertial forces, such as centrifugal force, and gravitational force are applied. There are a number of direct and indirect techniques for locating the center of mass.

Let mc be the mass of the Chrysler and νc be its velocity .

Let mf be the mass of the Ford and νf be its velocity . Then the velocity of the center of mass is

ν com = (mc v c + mf v f) /m c+ m f =  [tex](2050*75 + 1300*40)/(2050+1300)[/tex]

            = 61.41 km/h

We note that the two velocities are in the same direction, so the two terms in the numerator have the same sign.

the center of mass of the two cars moving is with a speed of 61.41m/s

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Wake turbulence is near maximum behind a jet transport just after take off because of the high angle of attack and high gross weight.

Explanation:

Every aircraft generates wake turbulence while in flight. Wake turbulence is a function of an aircraft producing lift, resulting in the formation of two counter-rotating vortices trailing behind the aircraft.

Wake turbulence from the generating aircraft can affect encountering aircraft due to the strength, duration, and direction of the vortices. Wake turbulence can impose rolling moments exceeding the roll-control authority of encountering aircraft, causing possible injury to occupants and damage to aircraft. Pilots should always be aware of the possibility of a wake turbulence encounter when flying through the wake of another aircraft, and adjust the flight path accordingly.

Wake turbulence is near maximum behind a jet transport just after take off because of the high angle of attack and high gross weight.

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The acceleration of the object will be 13.33 m/s^2.

According to Newton's second law of motion,

The magnitude of Force is equal to the product of the mass of the body and the acceleration it is given ( or achieves ).

The units of force, mass and acceleration are Newton, kg and m/s^2 respectively.

In numerical terms,

Force = mass × acceleration

i.e. F = m × a

Given,

mass of the body = 15 kg

Force applied to the body = 200 N.

Putting these values in the equation,

200 = 15 × a

=> a = 200/15

=> a = 13.33 m/s^2.

Therefore, the acceleration of the given body will be 13.33 m/s^2.

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Answers are impossible given the information provided.

P=VI, P=VI, where V is the voltage, I is the current, and P is the power, gives the power in an electric circuit.

We cannot draw any conclusions from the voltage measurement alone because power depends on both voltage and current. The information provided is therefore insufficient.

Answers are impossible given the information provided.

A lamp can be lit when charged electrons (current) are compelled through a conducting loop by the pressure of an electrical circuit's power source. In a nutshell, voltage equals pressure and is expressed in volts (V).

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Answer:

The temp of the water will remain the same...BUT some of the water will be converted to steam

Explanation:

Boiling water has reached its max temperature of liquid state....adding more heat will create steam ...at a constant water temp

Answer:

see below

Explanation:

1000 m / 60 s = 16 2/3  m/s

The Zeeman effect, a feature of atoms, is used to quantify the solar magnetic field. To do this, scientists look at the spectral lines that originate from sunspots and calculate by how much these lines are split.

The Zeeman effect is the result of a spectral line splitting into many components when a static magnetic field is present. It bears the name Pieter Zeeman after the Dutch physicist who made the discovery in 1896 and won the Nobel Prize for it. The magnetic dipole interaction between the nuclear spin moment and the internal magnetic field at the nucleus is what causes magnetic splitting (also known as the nuclear Zeeman effect). Three different varieties of the Zeeman Effect can be seen: the standard Zeeman effect, the anomalous Zeeman effect, and the diamagnetic Zeeman effect. The Zeeman effect is the splitting of atomic energy levels caused by an external magnetic field. This effect is also known as the Bohr's Magneton and is further characterised by orbital and spin angular momentum.

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Magnetic moment of the given coil is 1.178 Am²

Torque of the given coil is 1.414 TAm²

Radius of the coil = 0.05 m

Number of turns in the coil = 30 turns

Current passing through the coil = 5 A

Magnetic field in the coil = 1.2 T

The current flows in counterclockwise direction. Therefore by thumbs rule, the magnetic field flows towards right side.

The magnetic moment of the coil

       M = N x I x A

where N is the number of turns in the coil

           I is the current passing through the coil

          A is the area of the coil

Let us substitute the known values in the above equation,

       M = 30 x 5 x πr²

           = 30 x 5 x 3.14 x (0.05)²

           =  471 x 0.0025

           = 1.178

The magnetic moment of the given coil is 1.178 Am²

The torque of the coil can be found using

          τ = M x B

where M is the magnetic moment and

           B is the magnetic field produced due to the coil.

        τ = 1.178 x 1.20

           = 1.414 TAm²

Therefore , the torque of the coil is 1.414 TAm²

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Considering the definition of atomic mass, isotopes and atomic mass of an element, the average atomic mass of lanthanum is 151.186 amu.

The atomic mass is obtained by adding the number of protons and neutrons in a given nucleus of a chemical element.

The same chemical element can be formed by different atoms, that is, their atomic numbers are the same, but the number of neutrons is different, thus generating the isotopes of the element.

The atomic masses of chemical elements are usually calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.

In this case, you know:

The average mass of lanthanum can be calculated as:

average mass of lanthanum= 138.9 amu×0.9991 + 137.9 amu×0.09

average mass of lanthanum= 151.186 amu

Finally, the average atomic mass of the element in this case is 151.186 amu.

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There are two types of solar system was there:

One system that is energies with sunlight. In other words which convert the sun energy in other energy is called solar system. It made with silicon.

As we mentions earlier there are two types of solar system was their,

Active solar system: This system made with silicon bar which excites by absorb the sunlight and excites by it. It can change energy between any energies and help others to grow more. It helps to make machines to make hot water and electricity and many more. It is not cost friendly. The costs for such custom systems range from $3,000 to $10,000 depending on the size of the space.

Passive solar system: This system is very much cost sufficient solar energy generator. This energy displace the extra things like electricity, natural gas, or other  systems. It so cost friendly that by installing big windows and tress it can hold energy in day and release energy at night. This is called the radiator system as it radiates energy at night.

According to the discussion, this is the main difference between the an active solar heating system with a radiator system.

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The minimum speed necessary for the diver to clear the rocks 10.59m/s and the diver will be in air for about 2 seconds.

From the provided situation, we can analyze that the path of travel of the diver will be a projectile.

The maximum horizontal range is 35 meters.

And the height required is 5 meters.

We know, for a projectile,

Horizontal range R is given by U²sin(2A)/g

The height H attained is given by U²sin²A/2g

Dividing the height by range,

H/R = tanA/4

TanA = 20/7

Now, we can find,

SinA = 21.18

We know,

H = U²sin²A/2g

U²=2Hg/Sin²A

U²=2(5)(10)/(20/21.18)²

U = 10.59m/s.

The diver should start with speed of 10.59m/s to clear the rocks.

The time of flight is given by,

T = 2UsinA/g

Putting the values,

T = 2(10.59)(20/21.18)/10

T = 2 seconds.

The diver will be in air for 2 seconds.

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From the first floor to the fourth floor, the elevator's net work during the entire trip is -3mgh.

Given,

On the first floor of a building, an elevator with mass m is initially at rest. It ascends at a constant speed, passing second and third floors before coming to a stop at the fourth floor.

the separation between the floors is h

The distance from the first floor to the fourth floor Equals 3 hours of work = -mg(3 hours)

= -3mgh

Work Done = -3mgh

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Answer:

the soft drink will be elevated by the lower arm

Explanation:

14.14 m/s speed does the wreckage move if one car was driving north and one east

Based on the moment of momentum conservation in the x-direction,

1000 20 = (1000 + 1000) yields v _y v y = 10 m/s.

result = 14.14 m/s

An object's mass, velocity, and direction are all related by momentum. Force arises from any change in momentum. In order to ascertain the force exerted on the item, a change in momentum is utilised.

Force and momentum are distinct even though they appear to be the same physical quantity. Whether a body is being pulled or pushed, force is often defined as an outside action. The measure of how much motion there is inside a moving body is called momentum, on the other hand.

Unlike force, which refers to a push or pull action, momentum refers to the amount of motion in a moving body. Force modifies a body's momentum. While momentum varies while acceleration is constant, force does not.

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Diffraction is the change in a wave's direction as it travels around barriers. Diffraction is observed in both light and sound waves. This means that options 1 and 2 are wrong.

For any opening or slit, waves with longer wavelengths bend more than waves with shorter wavelengths. If the wavelength is smaller than the opening, it would be difficult for diffraction to occur. Thus, the correct option is

It occurs best when the slit width is less than the wavelength of a wave.