the 3.0-m-long, 100 kg rigid beam of figure ex12.31 is supported at each end. an 80 kg student stands 2.0 m from support 1. how much upward force does each support exert on the beam?

The velocity of the car at point E which is  10 m is determined as 24.2 m/s.

The final velocity of the coaster car is calculated by applying the principle of conservation of energy.

total kinetic energy of the coaster = total potential energy of the coaster

K.E = P.E

-¹/₂mv₁² + ¹/₂mv₂² = -mgh

-v₁² + v₂² = -2gh

v₂² = v₁² - 2gh

where;

The given parameters include;

v₂² = v₁² - 2gh

v₂² = (28²) - (2 x 9.8 x 10)

v₂² = 588

v₂ = √588

v₂ = 24.2 m/s

Thus, the final velocity of the coaster car at the given height will be smaller than the initial velocity due to effect of gravity.

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Answer:

It is likely water

Explanation:

Due to an average medium PH level it doesn't dissolve much.

A projectile is fired into a region of no air resistance the horizontal component of velocity remains constant because projectiles

A) is not acted on by any horizontal force

Velocity remain constant until unless any net external force acts on the object . While in a projectile motion , there is a gravitational force which act in downward direction . And there is no horizontal force , hence horizontal velocity remain unchanged . Velocity remains constant because projectiles

A) is not acted on by any horizontal force

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The length of the beam on which the the two boys are lying is 1.01 m.

The mass of one kid is 30 kg and the mass of the beam is 20kg, the beam is balanced at a distance of 1.10 m from the 30 kg boy when a 40kg boy was sitting at the other end of the beam.

If the beam is balanced at 1.10 m from the 30kg boy it means that there lies the center of mass of the system.

So, let us assume the length of the beam to be X meters and the assume the center of mass to be at center.

So,

0 = M₁X₁ + M₂X₂/M₁+M₂

M₁ is 30kg and X₁ is 1.10m.

M₂ is 40kg and the X₂ is (X-1.10)m.

Putting values,

0 = 30 x 1.1 + 40 x (X-1.1)

(1.1 - X)40 = 3.3

X = 1.01 m.

So, the length of the Beam is 1.01 m.

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Using these formulas, determine the normal and static friction forces acting on the mountain goat.

What is normal force?

The normal force is the pressure that surfaces apply to stop solid objects from piercing one another. The normal force is a force in contact. Two surfaces cannot exert a normal force on one another if they are not in contact.

What exactly is static friction force?

An object experiences static friction when a force is applied to it; as a result, the object resists the applied force and stays at rest until static friction is removed. In kinetic friction, the frictional force opposes an object's motion.

Given:

The 60° angle from horizontal

900 N is the weight of the mountain goat.

To calculate the normal force, the weight perpendicular to the tilt must be resolved. As a result, we can write:

N = W CosΘ

= 900 N(Cos 60°)

= 900 N(0.5) (0.5)

= 450 N

The forces acting in conjunction with the inclination must all be added to determine the static friction force. We document:

F = W sinΘ

= 900 N(sin 60°)

= 900 N(0.8660254038) (0.8660254038)

= 779.42 N

Therefore, the normal force is 450 N, and the static friction force is 779.42 N.

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Your power usage when pulling the box is 125 Watts. It takes 20 seconds to move a box 10 meter's along a rough surface when applying a continuous 250 n force.

Given: force = 250 N; distance = 10 m; speed = distance/time (10/20); speed = 0.5 m/s

W = work completed, where W = 250*10 = 2500 Joules.

Your labour of 2500 J by pulling the box

Thermal energy produced—considering that the box's surface and interior are both made of wood. Therefore, the kinematic friction coefficient is 0.3.

The thermal energy is therefore 75 N

thermal energy = 75*10 = 750 Joules, or thermal energy = force*d

force = mu

 force= 0.3*250.

So pulling the Box produces 750 Joules of thermal power.

Power exerted = force* v

= 250*0.5

=125 Watts

so, The power exerted by you while pulling box is 125 Watts.

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dT = -T^4/(2mD^2)dP

P = W/T = FD/T = (m a)D/T

dP = -maD/T^2 dT

dT = -T^2/(maD)dP

V = aT

D = 1/2 a T^2

a = 2D/T^2

dT = -T^4/(2mD^2)dP

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The distance travelled by the plane across the runway is determined as 1,620 m.

The distance travelled by the plane across the runway is calculated by applying the following equation.

v² = u² + 2as

where;

The initial velocity of the plane, u = 0, since it started from rest.

v² = 0 + 2as

s = v²/2a

The given parameters;

s = (72²)/(2 x 1.6)

s = 1,620 m

Thus, the distance travelled by the plane along or across the runway depends on the final velocity of the plane and the acceleration of the plane.

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82% of incoming polarized light with a polarization angle 25 degrees from the axis of the first polarizer will make it through the second polarizer.

We can use Snell's law to find out how much of the light makes it through the second polarizer.

Snell's law gives us:

sin(θ1)×sin(θ2)=n1×n2

Solving for n1, we get:

n1=(sinθ1cosθ2)/(sinθ1sinθ2)

We know that θ1 and θ2 are each 75 degrees, so we can put this into our equation:

n1=(0.5)(0.5)/(0.25)(0.75)=0.8333

This means that 82% of incoming polarized light with a polarization angle 25 degrees from the axis of the first polarizer will make it through the second polarizer.

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The minimum speed at which a car can leave the road at the top is 47.47 m/s

Following are the calculations for the minimal speed at which a vehicle can veer off the road;

The hill has a radius of 230 m

Fc = Fn

[tex]\frac{mv^{2} }{r} = mg \\\frac{v^{2} }{r} =g\\v^{2} =rg \\v=\sqrt{rg}[/tex]

where;

The curving road's radius is 230 meters, and

the acceleration caused by gravity is 9.8 meters per second.

[tex]v = \sqrt{230* 9.8}[/tex]

r = 47.47

As a result, 47.47 m/s is the lowest speed at which a vehicle can exit the road at the top.

Find the approximate centripetal acceleration caused by gravity, g, in meters per second squared, and the radius of the vertical circular motion, r, in meters. Step 2: Using the formula vmin=rg v min = r g, get the object's minimum speed (the speed at the top of the circle).

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Based on the value of the mass of the tool and the force of gravity on that planet, the gravitational acceleration of the planet is 7.8 m/s².

The mass and force of gravity acting on a body are related by the formula given below:

Force of gravity = mass * gravitational acceleration

The mass of a body is constant but the force of gravity acting on a body or the weight of the body varies depending on the value of the gravitational acceleration.

Considering the given values:

Mass of tool = 2.5 kg

Force of gravity acting on the tool = 19.5

gravitational acceleration = 19.5 / 2.5

gravitational acceleration = 7.8 m/s²

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4.1510^-3 tesla the magnitude of the magnetic field required to make the electrons hit the top of the screen

v=0.7×10^8m/s

q=1.6×10^-19 C

B= ?

Voltage= 15,00 V

r= 20cm= 0.2 m

r=mVqB

B=mv/qr

B=4.1510^-3 tesla

To observe magnetic forces, one can utilize a magnetic field, an electric current, a changing electric field, or a vector field surrounding a magnet. Magnetic compass needles and other permanent magnets point in the general direction of magnetic fields resembling those on Earth. Electrically charged particles move in a helical or circular pattern in magnetic fields. Electric motors operate on this force, which is applied to electric currents in wires in a magnetic field.

Magnetic fields can be visualized as continuous lines of force or magnetic flux that travel from south to north magnetic poles. The lines' density reveals the magnetic field's strength. One or more of a magnet's poles are

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Correct option is D)

Overall momentum of the system is conserved.

Therefore, change in momentum of the rocket will be equal to that of the fuel.

Change in momentum of the fuel will be

Δmv=60000

Hence, change in momentum of the rocket will also be:

△P=60000

Thrust force F=

△t

△p

​

F=60000 N

The new mas that needs to be applied reduces mAs 1 devided by 4 , which is 3.

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In the absence of air resistance, the only force acting on both objects would be gravity. Both objects would experience the same 9.8 m/s² acceleration toward the ground.

Since the initial conditions of both projectiles are identical, the velocities of both projectiles will be the same at all times. Therefore, both projectiles will attain a zero vertical velocity at the same time, and it is at this point that they simultaneously reach their respective maximum heights.

The maximum heights will not be the same, and they will differ by precisely the amount of height difference between the launch points.

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Water's high specific heat capacity explains why why water bonds with other molecules.

The correct answer choice is option a.

Water has the ability to easily attract other molecules simply because of the fact its hydrogen and oxygen components is made up of positive and negative ions respectively.

Technically, the bonds in hydrogen possess a form of electrostatic force which makes it very possible for water to bond with other molecules with its high specific heat capacity.

So therefore, we can now confirm and deduce that from the simple note given above that the hydrogen bonds presence in water molecule makes it easy for water to combine with other molecules.

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By using  Rayleigh criterion principle, we can calculate the Fundamental resolution limit would be 20.33 x [tex]10^{-9}[/tex] radians

The Rayleigh criterion for the diffraction limit to resolution states that two images are just resolvable when the center of the diffraction pattern of one is directly over the first minimum of the diffraction pattern of the other.

According to the Rayleigh criterion principle, we have

Ф = 1.22 λ/D

where Ф is the resolution limit in radians

λ = wavelength of the light

D = diameter of the lens or the telescope

putting  the appropriate values, we get

Ф  = 1.22 x 500 x [tex]10^{-9}[/tex] / 30

Ф   = 20.33 x [tex]10^{-9}[/tex] radians

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The velocity of the skater will increase as he moves towards the center of the ramp and consequently the kinetic energy will increase. The kinetic energy will converted into potential energy as he moves towards the maximum height.

The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

As the skater move from side to side on the curved ramp, his kinetic energy will be converted into potential energy.

Mathematically, it be written as;

K.E = P.E

¹/₂mv²  =  mgh

where;

As the skater moves from the highest point with zero velocity, he will have maximum potential energy which decreases as he moves towards the center of the ramp. The velocity will increase as he moves towards the center of the ramp and consequently the kinetic energy will increase.

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Saturn radiates even more excess energy than Jupiter Helium rain gives off heat as it differentiates toward Saturn's center. Option B.

Its density is so low that it floats on water. Like Jupiter, Saturn emits almost twice as much energy as it receives from the Sun. This is because it has its own internal heat source driven by the slow gravitational collapse that began with the planet's formation. The Jupiter planet draws heat from the Sun and from within.

Jupiter produces a lot of internal heat and emits thermal radiation to release this heat. In fact, Jupiter produces so much internal heat that it emits almost twice as much energy as it receives from the Sun. Hydrogen exists in a liquid metallic state around the central rocky core and surrounds the inner half of the planet. Compared to Jupiter, Saturn's mass and volume consist of this conductive metallic liquid which may partly explain why Saturn's magnetic field is much weaker.

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The answers include the following:

Thus is referred to as the physical property of matter that causes it to experience a force when placed in an electromagnetic field. We should also note that like poles repel and unlike poles attract.

When the styrofoam is rubbed, it becomes negatively charged which when placed in contact with another neutral charge will result in the repulsion. In the case in which the unrubbed side of the styrofoam is placed near a neutral charge there will also be repulsion.

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As the amplitude increases from the wave generator, the Voltages passing through the inductor will be higher. and consequently, the current passing through the inductor will also be higher Remember that when a voltage is applied across the inductor, the current is driven in the inductor due to the applied voltage.

When the applied voltage is sinusoidal it creates a sinusoidal current in the inductor with the same frequency as the applied voltage. As this current increases, it creates an induced potential difference proportional to the rate of change of current, and hence there is a sinusoidal induced voltage in the Inductor.

The function generator's amplitude control changes the voltage difference between the output signal's high and low voltage. Its direct current offset control changes the signal's average voltage with regard to the ground. A function generator is equipment to generate input functions for your circuit. It can generate sinewaves, square waves, triangular waves, modulated signals, and so on. An oscilloscope is equipment to display the signals in the circuit.

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magnetic field caused by the combination of wires to cancel out, the current will flow in a direction . The current will therefore move in the other direction,. The outside wire is experiencing a 15.83 A current.

The electric current formula, I=V/R, can be used to determine how much current is flowing. The "current equation," as it is commonly known, is derived from Ohm's Law. The variable "I" denotes current, "V" denotes voltage, and "R" denotes resistance.

Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. A positive terminal receives normal current, which then travels to a negative terminal.

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Capacitance, charge and electric potential will be greater than the capacitor without the dielectric.

Capacitance is the a property of an electric conductor or set of conductors that is measured by the amount of separate electric charge that can be stored on it per unit change in electric potential.

The value of capacitance for the parallel plate is C = (3∈0AK)/d

Since two identical, parallel-plate capacitors are connected

therefore the value of capacitance for both the plate is C

Ceq. = (C1*C2) / C1 + C2 = C*C / C+C = C2

When the battery remains connected, the potential difference [V] remains constant

Q=CV

∴Cafter>Cbefore [C increased]

∴Qafter>QBefore [Q increased]

Potential difference and charge across the capacitor before the dielectric:

Qbefore = [tex]\frac{CV}{2}[/tex]

Vbefore = Vafter = V

Potential difference and charge on the capacitor after inserting the dielectric:

Qafter = Ceq*V = [tex]\frac{kCV}{k+1}[/tex]

Vafter = Q*After / KC =  [tex]\frac{\frac{kCV}{k+1}}{kc}[/tex]

Vafter=  [tex]\frac{V}{k+1}[/tex]   [K>1]

[Hence V decreases]

Vbefore > Vafter

Also,  E = [tex]\frac{V}{d}[/tex]

therefore [E]before > [E]after [E decreases]

Energy stored in the capacitor:-

U=[tex]\frac{1}{2} CV^{2}[/tex]

As V= constant

Cafter > Cbefore .

Hence Uafter > Ubefore

Thus, the electrostatic potential increases.

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Answer:

In a unit government, all the powers of government are moved around in the central government where in turn in a federal government, the powers of government are divided between the center and the units.

Explanation:

I hope this helps.

Answer:

Explanation:

Given:

φ₁ = 350 V  -  potential of point A

φ₂ = 130 V - potential of point B

A = 4.7·10⁻⁴ J - Work of the electric field

______________________

Q - ?    

The magnitude of the electric charge:

Q = J / Δφ

Potential difference:

Δφ = φ₁ - φ₂ = 350 - 130 = 120 V

Then:

Q = J / Δφ = 4.7·10⁻⁴ / 120 ≈ 3.9·10⁻⁶  C  or  Q

Q = 3.9 mkC  

Answer:

To find the displacement when the velocity is changing, a velocity-time graph is needed. Normally, velocity is plotted on the y-axis (the vertical axis) and time is plotted on the x-axis (the horizontal axis). The area under the line on a velocity-time graph is equal to the displacement of the object.

Explanation:

I hope this helps

(a) Work done on the car by its cable will be 5.92 * [tex]10^{5}[/tex] J.

(b) Work done on the car by the gravitational force will be -5.92 * [tex]10^{5}[/tex] J.

(c) Total work done on the car will be 0 J.

Work done is the product of force and displacement.

Mass of the car = m = 1500 kg

Distance lifted by the cable = d = 40 m

Frictional force experienced by the car = Fs = 100 N

(a) According to the Newton's second law of motion

F = Fcable - mg - Fs = ma

Fcable = mg + Fs

Work done by the same force = W1

W1 = Fcable * d

W1 = (mg + Fs) * d

W1 = (1500*9.8 + 100) * 40

W1 = 592600

W1 = 5.92 * [tex]10^{5}[/tex] J

(b) Work done by the gravitational force = W2 = mg * d

W2 = 1500*(-9.8)*40

Since the acceleration is acting downwards 'g' will be considered with a negative sign.

W2 = -5.88 * [tex]10^{5}[/tex] J

(c) The total work done on the lift is the work done by the net force exerted on the car during this process:

W3 = Fnet * d

Fnet =  -5.88 * [tex]10^{5}[/tex] J +  5.92 * [tex]10^{5}[/tex] J

Fnet = 0

W3 = 0 * 40

W3 = 0 J

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The power that firefighter needed to reach the top of the building in 55s is equal to  463.3 Watts.

Power can be described as the rate of doing work and is also defined as the work done in unit time. The S.I. unit of power is Joule/second or Watt (W). The mathematical expression for power is mentioned below.

Power = work/ time

P = W/ t

Given, the height of the building, h = 20 m

The total mass of the firefighter and backpack, m =  85 + 45 = 130 Kg

The time taken to reach the top, t = 55 sec

The power that will be needed can be determined as:

[tex]{\displaystyle {P = \frac{m\times g\times h}{t}[/tex]

[tex]{\displaystyle {P = \frac{130\times 9.8\times 20}{55}[/tex]

P = 463.3 Watt

Therefore, with the power of 463.3 Watts, a firefighter will reach the top in 55s.

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The speed of light in miles per second (mi/s) is 186,000 mi/s.

The distance travelled by light in a year is known as light-year. This distance travelled by light in a year depends on the speed of light.

The speed of light in a year is given as 982,080,000 ft/s. The unit of this speed of light in feet per seconds can be converted into miles per second.

The speed of light in miles per second (mi/s) is calculated by using the following conversion factor.

1 mile = 5280 feet

982,080,000 ft/s = 982,080,000 ft/s x 1 mile/5280 ft

982,080,000 ft/s = 186,000 miles/s

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From the calculations, we have the coefficient of friction as  0.026.

We know that friction has to do with the force that tends to oppose the motion of an object. As such, the point where the force of friction acts is actually the surface that lies between two bodies.

Now, we can see that It takes 6 people pulling with a force of 500 N each to begin moving the opposing team which was pulling with a combined force of 2500 N. This implies that the total force of the people that are pulling from this other side is 6 (500N) = 3000 N

Now we have the net force that is acting on the the rope as; 3000 N - 2500 N = 500 N

Then;

Coefficient of friction = Net force/ Normal reaction

= 500 N/(2000 * 9.8) N

= 0.026

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