What does the slope of gravitational potential energy vs velocity^2 graph represent?

Explanation:

We know from newton's 2nd law that F= m/a. That is force directly proportional to mass and inversely proportional to acceleration. F is same for the skier and Earth but mass is different for both. m for earth is way larger than the m for skier. So, for constant Force , a of Earth must very small as compared with a of the skier.

Skiers and skateboarders accelerate due to action-reaction force pairs in accordance with Newton's third law, but the Earth's immense mass leads to negligible acceleration, rendering its movement imperceptible.

Understanding Force and Acceleration

When discussing the action-reaction force pair between the Earth and a skier, Newton's third law of motion is essential. This law states that for every action, there is an equal and opposite reaction. When the skier accelerates, the force exerted on them by the Earth (gravity) is met with an equal and opposite force exerted by the skier back onto the Earth. The reason the Earth does not seem to move while the skier accelerates is due to the massive difference in mass between the Earth and the skier. Since acceleration is calculated as force divided by mass (F = ma), the much larger mass of the Earth compared to the skier results in a negligible acceleration of the Earth. This is similar to why stationary skater A does not move when pushing skater B; if skater A has more contact with the surface or better frictional grip, they may not move significantly despite exerting force.

Furthermore, when objects like a skateboarder jump off a building, both the Earth and the skateboarder exert mutual forces on each other. Despite experiencing the same total change of momentum, the Earth's massive size means its acceleration is imperceptible, while the skateboarder moves considerably more.

Answer:

Precipitation is the formation of a solid from a solution. It is necessary to centrifuge the precipitate to exert sufficient forces of gravity to bring the solid particles in the solution to come together and settle

Explanation:

When you centrifuge precipitate it enables the nucleation to form.

Centrifuging the precipitate helps in determining whether a certain element is present in a solution or not.

Final answer:

Centrifuging out the precipitate formed in an unknown solution prevents it from interfering with the analysis of remaining ions. The separated supernatant can then be further tested to identify other ions while avoiding unwanted reactions and ensuring precise characterizations of the substances involved.

Explanation:

It is necessary to centrifuge out any precipitate formed in the unknown solution during a chemical analysis for several reasons. The process of centrifugation uses inertia to separate particles in the fluid, so when the precipitate forms due to the reaction of different ions, it needs to be removed to isolate the remaining supernatant. The purpose is to ensure that subsequent testing only involves the dissolved substances, without interference from solids that have already reacted. Moreover, analysis of the residue is crucial after centrifugation and sometimes after supernatant evaporation to dryness, followed by reconstitution of the residue. This allows for a detailed study of the precipitate itself.

The remaining solution, after centrifugation, contains the supernate which may still contain ions or molecules of interest. If the precipitate is not removed, the solids could skew the results of further tests by hiding the presence of other ions or reacting further in unwanted ways. The separated liquid, or supernatant, can then be subjected to additional tests to identify other ions that may be present. For instance, if one is testing for the presence of barium sulfate in a mixture, tests like the precipitin ring test or radial immunodiffusion assay can be used, which demonstrates the presence of specific substances without the interference from the precipitate removed by centrifugation.

Answer:

C. software

Explanation:

software, is a collection of data or computer instructions that tell the computer how to work. This is in contrast to physical hardware, from which the system is built and actually performs the work.

Answer:gbji

Explanation:

hbbju

Answer:

Technician A is right.                                                    

Explanation:

Given that,

Voltage of circuit, V = 12 volt

Current in the circuit, I = 3 A

Technician A says the electric power in this circuit is 36 watts. Technician B says the electric power in this circuit is 4 watts. We need to say that which technician is correct.

The power of any circuit is given by :

[tex]P=V\times I[/tex]

[tex]P=12\ V\times 3\ A[/tex]

P = 36 watts

So, technician A is right. Hence, this is the required solution.

The power in an electric circuit is calculated by multiplying the voltage by the current. Therefore, in a 12-volt circuit with a current of 3 amps, the power would be 36 watts. This confirms the statement made by Technician A, making him correct.

In the context of electric circuits, the power is determined by multiplying the voltage across the circuit by the current flowing through it. This relationship is captured in the formula P = IV, where P represents power, I represents current, and V represents voltage.

In this particular case, given a 12-volt circuit with a current of 3 amps, the calculation becomes P=12V * 3A. Accordingly, the power in this circuit would be 36 watts, validating Technician A's statement. Therefore, in this instance, Technician A is correct and Technician B is incorrect.

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Answer:

False

Explanation:

The ‘sigma’ refers to the Greek letter used to denote standard deviation, so ‘six sigma’ means that the error rate lies beyond six standard deviations from the mean.

Answer:

[tex]a=4.2524\ m.s^{-2}[/tex]

Explanation:

Given:

two workers push a crate.

(Assuming that both the workers push in the same direction.)

We know that,

Acceleration is given as:

[tex]a=\frac{F}{m}[/tex]

[tex]a=\frac{F_1+F_2}{m}[/tex]

[tex]a=\frac{543+333}{206}[/tex]

[tex]a=4.2524\ m.s^{-2}[/tex]

Answer:

18Joules

Explanation:

Potential Energy = mass * gravity * height

PE = 0.6 * 10 * 3

PE = 18Joules

Answer:

Explanation:

Check attachment

The total electric potential in the center of the square due to 4 chargers at its corners is given by V_total= (4 * ke * Q) / sqrt( a^2/2 ), and the work needed to bring a fifth charge p from infinity to that point is W = p * (4 * ke * Q) / sqrt( a^2/2 ).

The electric potential at a particular point (center in this case) because of a point charge follows the formula V = k*Q / r where:

For four charges Q at corners of a square of side length a, the distance from the charge to the center of square would be sqrt(a^2/2), so:

V_total= (4 * ke * Q) / sqrt( a^2/2 )

The work done to bring a charge from infinity to a point is given by W = q * V_total where q is the charge being moved. So, under given circumstances:

W = p * (4 * ke * Q) / sqrt( a^2/2 )

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Answer:

(a). The total charge of this system is 10 C.

(b). The charges of the spheres before the connection is 5 C and 4.2 C.

Explanation:

Given that,

Distance [tex]r= 1.00\times10^{5}\ m[/tex]

Force = 22.5 N

The two spheres are connected for a moment by a wire. After this, charge is re-distributed equally, and each sphere now has a charge

We need to calculate the charge

Using formula of electric force

[tex]F=\dfrac{kq_{1}q_{2}}{r^2}[/tex]

Here, charge is equal

Put the value into the formula

[tex]22.5=\dfrac{9\times10^{9}\times q^2}{(1.00\times10^{5})}[/tex]

[tex]q^2=\dfrac{22.5\times(1.00\times10^{5})^2}{9\times10^{9}}[/tex]

[tex]q=\sqrt{\dfrac{22.5\times(1.00\times10^{5})^2}{9\times10^{9}}}[/tex]

[tex]q=5\ C[/tex]

(a). We need to calculate the total charge of this system

We have the charge of each sphere after re-distribution.

We know that the charge is distributed equally.

Therefore, the total charge of the system is

[tex]q+Q=2q=2\times5=10\ C[/tex]

(b). We need to calculate the charge of the spheres before the connection

Using formula of electric force

[tex]F=\dfrac{kq_{1}q_{2}}{r^2}[/tex]

Put the value into the formula

[tex]18.9=\dfrac{9\times10^{9}\times q_{1}\times q_{2}}{(1.00\times10^{5})}[/tex]

[tex]q_{2}=\dfrac{18.9\times(1.00\times10^{5})^2}{9\times10^{9}\times5}[/tex]

[tex]q_{2}=4.2\ C[/tex]

Hence, (a). The total charge of this system is 10 C.

(b). The charges of the spheres before the connection is 5 C and 4.2 C.

Answer:

Electric potential,  V = 40.68 volts

Explanation:

Given that,

Charge on the sphere, [tex]q=22.6\ pC=22.6\times 10^{-12}\ C[/tex]

Diameter of the plastic sphere, d = 1 cm

Radius, r = 0.5 cm

We need to find the electric potential at its surface. The potential at a surface is given by :

[tex]V=\dfrac{kq}{r}[/tex]

[tex]V=\dfrac{9\times 10^9\times 22.6\times 10^{-12}}{0.5\times 10^{-2}}[/tex]

V = 40.68 volts

So, the electric potential at its surface is 40.68 volts. Hence, this is the required solution.

Answer:

Explanation:

Given

Length of each wire [tex]L=1.3\ m[/tex]

On wire A second harmonic frequency is given by

[tex]f_2_{a}=2\times (\frac{v}{2L})[/tex]

where f=frequency

v=velocity of wave

L=length of wire

[tex]v_a=f_2\times L[/tex]

[tex]v_a=640\times 1.3=832\ m/s[/tex]

For wire B third harmonic is given by

[tex]f_3_{b}=3\times (\frac{v}{2L})[/tex]

[tex]v_b=\frac{2L}{3}\cdot f_3_{b}[/tex]

[tex]v_b=\frac{2\times 1.3}{3}\times 640=554.66\ m/s[/tex]

Option 4 ( R2 and R3 ) is the correct answer.

Explanation:

Hence we can conclude that Resistor R2 and R3 are the ones that are connected in parallel.

Answer:

force on the proton = 5.96 × [tex]10^{-14}[/tex] N

Explanation:

given data

kinetic energy = 1.16 ×[tex]10^{5}[/tex]  eV

charge density of σ = +6.60 μC/m²

solution

we get here force on the proton that is express as

F = qE  ....................1

here q is charge on proton i.e = 1.6 × [tex]10^{-19}[/tex] C

and E is electric field due to charge i.e E = [tex]\frac{\sigma }{2*\epsilon_o }[/tex]

so put the value in equation 1 we get

force on the proton = 1.6 × [tex]10^{-19}[/tex] × [tex]\frac{6.60*10^{-6}}{2*8.85*10^{-12}}[/tex]  

force on the proton = 5.96 × [tex]10^{-14}[/tex] N

Final answer:

The magnitude of the force on the proton is 1.19 × 10-13 N.

Explanation:

In order to find the magnitude of the force on the proton, we can use the formula F = qE, where F is the force, q is the charge of the proton, and E is the electric field. First, we need to convert the charge density from μC/m² to C/m², which gives us σ = 6.60 × 10-6 C/m². Since the electric field is uniform, we can use the equation E = σ/ε₀, where ε₀ is the electric constant.

Plugging in the values, we have E = (6.60 × 10-6 C/m²) / (8.85 × 10-12 C²/N·m²), which gives us E = 7.46 × 10^5 N/C. Now, we can find the force using F = qE.

F = (1.60 × 10-19 C)(7.46 × 10^5 N/C) = 1.19 × 10-13 N.

Answer:

Δp=2.0×10⁴N/cm²

Explanation:

We can write the bulk modulus formula and we solve pressure difference Δp

So

B=Δp(V₀ / ΔV)

Δp=B( ΔV / V₀)

As ΔV / V₀ is given as 9.05×10⁻²

So

Δp=B(9.05×10⁻²)

Δp=(0.22×10¹⁰)(9.05×10⁻²)

Δp=2.0×10⁸ N/m²

Δp=2.0×10⁸ N/m²×(1m²/10⁴cm²)

Δp=2.0×10⁴N/cm²

Answer:

2.0×10⁸ N/m².

Explanation:

Bulk modulus, B is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume

B = -V₀ * (Δp/ΔV)

Given:

ΔV/V₀ = 9.05×10⁻²

Bw = 0.22×10¹⁰

Δp = -B * (ΔV/V₀)

= (0.22×10¹⁰) * (9.05×10⁻²)

= 2.0×10⁸ N/m².

Explanation:

Let upper direction be positive

We have equation of motion v = u + at

     Initial velocity, u = 11 m/s

     Final velocity, v = ?

     Time, t = 2 s

     Acceleration,a = -9.81 m/s²

     Substituting

                      v = u + at  

                      v = 11 + -9.81 x 2

                      v = -8.62 m/s

    Speed of ball after 2 seconds is 8.62 m/s downward.

Answer:

He lost $53,240.60

Explanation:

In order to solve this problem, we must start by determining how many dollars he spent for the [tex]500m^{2}[/tex] of cloth. We can determine this by doing the following conversion:

[tex]500m^{2}*\frac{400 tepizes}{m^{2}}*\frac{\$0.625}{1 tepiz}=\$125,000[/tex]

Next, we need to figure out what is the price of the [tex]500m^{2}[/tex] of coth is in New York:

[tex]500m^{2}*\frac{1yd^{2}}{(0.9144m)^{2}}*\frac{\$120}{1 yard^{2}}=\$71,759.40[/tex]

so now we subtract the two amounts so we get:

$125,000-$71,759.40=$53,240.60

Explanation:

The given  frequency of tuning fork is 440 Hz . It produces 5 beats with trumpet wire . That means , the frequency of wire can be 440 ± 5

It can be either 445 or 435

Now the length of wire is increased , by which its frequency decreases . Because frequency is inversely proportional to length of wire .

If we decrease the frequency in 435 , the difference between tuning fork frequency and wire frequency will become greater than 5 even . So it cannot produce 3 beats with it .

If we decrease frequency from 445 , it can become 443 Hz . It gives 3 beat with the tuning fork as given .

Thus the initial frequency of wire is 445 Hz

To find the initial frequency of the trumpet player, we can use the concept of beat frequency. The initial frequency is either 442 Hz or 438 Hz.

To find the initial frequency of the trumpet player, we can use the concept of beat frequency. The beat frequency is the difference between the frequencies of two sounds, in this case, the trumpet player's note and the tuning fork. Initially, the trumpet player hears 5 beats per second. After adjusting the length of her trumpet, she hears 3 beats per second. The change in beat frequency is 5 - 3 = 2 Hz. Since the tuning fork remains at 440 Hz, the initial frequency of the trumpet player can be calculated by adding or subtracting the beat frequency from the tuning fork frequency. In this case, the initial frequency is either 440 + 2 = 442 Hz or 440 - 2 = 438 Hz.

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Answer:

Overload current, short-circuit current and short circuit

Explanation:

Overload current is an excessive current relative to normal operating current, but one that is confined to the normal conductive path provided by the conductors, circuit components, and loads of the distribution system.

A short-circuit current is a current that flows outside the normal conducting path.

One generally accepted definition of short circuit is when a phase or ungrounded conductor comes in contact with, or arcing current flows between, another phase conductor, neutral, or ground.

Explanation:

(A) Electric field for the parallel plate capacitor is given by :

[tex]E=\dfrac{\sigma}{2\epsilon_o}[/tex]

It is clear that the electric field does not depend on the separation of the plates.

(B) The relation between the electric field and the electric potential is given by :

[tex]V=Ed[/tex]

d is the separation between plates. So, if the separation of the plates is increased, the potential difference increases.

(C) The capacitance of the parallel plate capacitor is given by :

[tex]C=\dfrac{A\epsilon_o}{d}[/tex]

So, the capacitance decreases when the separation of the plates is increased.

(D) The energy stored in the capacitor is given by :

[tex]E=\dfrac{1}{2}CV^2[/tex]

[tex]E=\dfrac{1}{2}C(Ed)^2[/tex]

So, the energy stored in the capacitor  is increased when the separation of the plates is increased.

Answer:

a)constant

b)constant

c)constant

d) constant

Explanation:

a)

The electric field between the plates remain constant. The Electric field between the plates is given as:

[tex]E=\frac{\sigma}{\epsilon}[/tex]

where:

[tex]\sigma=[/tex] surface charge density

[tex]\epsilon=[/tex] permittivity of the material between the plates

b)

The potential difference between the plates is related as:

[tex]V=\frac{Q}{C}[/tex]

and

[tex]E=\frac{V}{d}[/tex]

where:

d = distance between the plates

Therefore the potential difference remains constant when the capacitor plates distance remains constant.

c)

the capacitance:

[tex]C=\frac{Q}{V}[/tex]

When the charge and potential difference is constant then the capacitance also remains constant.

d)

Energy stored in a capacitor:

[tex]U=\frac{1}{2} C.V^2[/tex]

Since capacitance and potential difference are constant therefore potential difference is also constant.

Answer:

880Hz

Explanation:

A violin string is an example of an open pipe. An open pipe is open at both ends.

The fundamental frequency is the first harmonic.In an open pipe the second harmonic is twice the fundamental frequency.

Hence, second harmonic = 2Fo

Fo=440Hz

Second harmonic = 2*440Hz

Second harmonic = 880Hz

Answer:

a. FTh = 30 N

b. Fw = 30 N

c. a = 200 m/s2

Explanation:

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The magnitude of squid thrust force, magnitude of force on the water and the acceleration experienced by the water is required.

The magnitude of squid thrust force and magnitude of force on the water is 30 N.

The acceleration is [tex]200\ \text{m/s}^2[/tex]

m = Mass

a = Acceleration

m = 1.5 kg

a = [tex]20\ \text{m/s}^2[/tex]

Thrust force

[tex]F=ma\\\Rightarrow F=1.5\times 20\\\Rightarrow F=30\ \text{N}[/tex]

The magnitude of squid thrust force will be equal to the magnitude of force on the water from the third law of motion.

F = 30 N

m = 0.15 kg

Acceleration is given by

[tex]a=\dfrac{F}{m}\\\Rightarrow a=\dfrac{30}{0.15}\\\Rightarrow a=200\ \text{m/s}^2[/tex]

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Answer:

458.33 ft

Explanation:

We are given that

Wavelength of of an x- ray photon=1 in

Wavelength of of an x- ray photon==[tex]\frac{1}{12}[/tex]ft

1 in=[tex]\frac{1}{12}[/tex]feet

We have to find the  length of line (in feet) drawn by you to represent the wavelength of visible light.

According to question

Wavelength of visible light=[tex]5500\times \frac{1}{12}[/tex] ft

Wavelength of visible light[tex]=\frac{5500}{12}[/tex]ft

Wavelength of visible light=458.33 ft

Hence, the 458.33 ft line must drawn  by you to represent the wavelength of visible light.

Answer:

458.33 ft

Explanation:

I had the same question once

Answer: 9.0 atm

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

[tex]P_1V_1=P_2V_2[/tex]

where,

[tex]P_1\text{ and }V_1[/tex] are initial pressure and volume.

[tex]P_2\text{ and }V_2[/tex] are final pressure and volume.

We are given:

[tex]P_1=3.0atm\\V_1=150mL\\P_2=?mmHg\\V_2=50mL[/tex]

Putting values in above equation, we get:

[tex]3.0\times 150mL=P_2\times 50mL\\\\P_2=9.0atm[/tex]

Thus new pressure of 150 ml of a gas that is compressed to 50 ml is 9.0 atm

Answer:

0.26087 rad/s

Explanation:

mass of the child (m) = 40 kg

velocity (v) = 3 m/s

distance (r) = 1.5 m

moment of inertia (I) = 600 kg.m^{2}

rotational momentum of the child = Iω

where

rotational momentum of the child = Iω = 90 x 2 = 180 kg[tex]m^{2}[/tex]/s

from the conservation of momentum the initial momentum of the child must be the same as the final momentum of the child

initial momentum of the child = final momentum of the child

180 = (90 + 600) ω

180 = 690 ω

ω = 180 / 690 = 0.26087 rad/s

The angular or rotational momentum is the conserved quantity that has both magnitude and direction. It is given by:

[tex]\rm L = mvr[/tex]

Where,

L = rotational/angular momentum, m = mass, v = velocity and r = radius

The angular speed will be 0.26087 rad/s.

The speed can be estimated as:

Given,

Rotational momentum is calculated by Iω.

Where,

[tex]\begin{aligned}&= 40 \times (1.5)^{2} \\&= 90 \rm kg/m^{2}\end{aligned}[/tex]

[tex]\begin{aligned}&= \dfrac{3 }{1.5} \\&= 2 \rm rad/s\end{aligned}[/tex]

Rotational momentum of the child = Iω

[tex]\begin{aligned} \rm I\omega &= 90 \times 2 \\\\&= 180 \;\rm kgm^{2}/s\end{aligned}[/tex]

The final and the initial momentum would be the same according to the conservation law.

Initial momentum = Final momentum

180 = (90 + 600) ω

180 = 690 ω

Solving further:

[tex]\begin{aligned}\omega &= \dfrac{180}{690}\\\\&= 0.26087 \;\rm rad/s\end{aligned}[/tex]

Therefore, 0.26087 rad/s is the angular speed.

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Answer:

The correct answer is option a.

Explanation:

Conservation of momentum :

[tex]m_1u_1+m_2u_2=m_1v_1+m_1v_2[/tex]

Where :

[tex]m_1, m_2[/tex] = masses of object collided

[tex]u_1,u_2[/tex] = initial velocity before collision

[tex]v_1,v_2[/tex] = final velocity after collision

We have :

Two equal-mass carts roll towards each other.

[tex]m_1=m_2=M[/tex]

Initial velocity of [tex]m_1=u_1=2 m/s[/tex]

Initial velocity of [tex]m_2=u_2=-1 m/s[/tex] (opposite direction)

Final velocity of [tex]m_1=v_1=v[/tex] (same direction )

Final velocity of [tex]m_2=v_2=v[/tex]  (same direction)

[tex]M\times 2 m/s+M(-1 m/s)=Mv+Mv[/tex]

[tex]1 m/s=2v[/tex]

v = 0.5 m/s

rg135

The speed of the carts after their collision is 0.5 m/s.

Using the principle of conservation of momentum, the combined carts will have a speed of 0.5 m/s after their collision. This is because their total momentum prior to the collision is conserved during the collision and is equal to their total momentum post the collision.

This is a question about the principle of conservation of linear momentum in physics. Before the collision, the total momentum of the system (two carts) is the sum of their individual momenta. Since they have equal mass, we can write the total momentum as momentum of cart 1 + momentum of cart 2 = total momentum, or (mass x velocity of cart 1) + (mass x -velocity of cart 2) = total momentum. Since one cart is moving rightward and the other is moving leftward, we take the velocity of the leftward moving cart, cart 2, as negative. Thus, we have (mass x 2 m/s) - (mass x 1 m/s) = total momentum, hence the total momentum comes out to be mass x 1 m/s.

After the collision, the two carts couple and move with a common speed which we denoted as V. According to the conservation of linear momentum law, the total momentum before collision must be equal to the total momentum after the collision, which gives us mass x 1 m/s = 2 x mass x V (since the total mass after the collision becomes 2 times the mass of one cart), solving this gives V = 0.5 m/s.

Therefore, the combined carts will have a speed of 0.5 m/s after the collision. So, the answer to your question is a. 0.5 m/s.

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Answer:

   2- 3 - 1- 4

Explanation:

Extracting energy from the wind is known as wind energy. Wind energy is are a renewable source of energy.

Energy can be extracted from the wind by following different steps.

1) Wind will turn the wind turbine blade.

2) Then the mechanical energy from the wind turbine blade is transferred to the generator.

3) The generator will convert mechanical energy into electrical energy.

4) the electrical energy produced is then transferred to the grid.

Hence, the sequence of Power generation is  

       2- 3 - 1- 4

Answer:

An object can have both kinetic and potential energy at the same time.

Explanation:

For example, an object which is falling, but has not yet reached the ground has kinetic energy because it is moving downwards, and potential energy because it is able to move downwards even further than it already has.

Final answer:

An object can have both kinetic and potential energy at the same time, such as a ball thrown in the air. The sum of these two types of energy in a closed system remains constant unless non-conservative forces are present.

Explanation:

Yes, an object can indeed have kinetic and potential energy at the same time. Consider a ball thrown upward; at any point in its trajectory, except the peak, the ball will have both kinetic energy due to its motion and potential energy due to its height above the ground. To address whether the sum of kinetic energy and potential energy can change without work being done on the object: In a closed system where no external work is applied, the sum of kinetic and potential energies remains constant because of the conservation of mechanical energy. However, if non-conservative forces like friction are involved, they can convert mechanical energy into thermal energy, thus decreasing the total mechanical energy without any external work being performed.

Answer:

[tex]\theta=15.70^\circ[/tex]

Explanation:

A right triangle is formed, in which the vertical elevation is the opposite cathetus and the horizontal distance is the adjacent cathetus, since we know these two values, we can calculate the angle of inclination using the definition of tangent:

[tex]tan\theta=\frac{opp}{adj}\\\theta=arctan(\frac{opp}{adj})\\\theta=arctan(\frac{28.1m}{100m})\\\theta=15.70^\circ[/tex]

Answer:

We need 4 times more force to keep the car in circular motion if the velocity gets double.

Explanation:

Lets take the mass of the car = m

The radius of the arc = r

[tex]F=\frac{m\times v^2}{r}[/tex]

Given that speed of the car gets double ,v' = 2 v

Then the force on the car = F'

[tex]F'=\frac{m\times v'^2}{r}[/tex]  ( radius of the arc is constant)

[tex]F'=\frac{m\times (2v)^2}{r} [/tex]

[tex]F'=4\times \frac{m\times v^2}{r}[/tex]

We know that [tex]F=\frac{m\times v^2}{r}[/tex]

Therefore F' = 4 F

So we can say that we need 4 times more force to keep the car in circular motion if the velocity gets double.

The magnitude of centripetal force will become four times with the twice the greater speed of car.

Given data:

The magnitude of centripetal force on car is, Fc.

The force acting on any object undergoing the motion around the circular path, such that the motion is balanced is known as centripetal force. It is also known as the center-seeking force. And the expression for the centripetal force is given as,

Fc = mv²/r

Here,

m is the mass of car.

v is the speed of car.

r is the radius of circular track.

If the speed of car is twice as great, then the new centripetal force is given as,

F'c = m(2v)²/r

F'c = 4 × mv²/r

F'c = 4 × Fc

Thus, we can conclude that the magnitude of centripetal force will become four times with the twice the greater speed of car.

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Answer:

force of tension in the left cable = 7.66N

force of tension in the right cable = 5.074N

Explanation:

The detailed step and calculation is as shown in the attachment.