A roller coaster car begins its roll from the top of the tracks at a speed of2 meters per second. When it reaches the bottom of the 200-meter drop four seconds later, its speed is 22 meters per second. What was the averagespeed of the roller coaster ride in meters per second over the 200-meter drop

Answers

Answer 1

The speed of the car from the top of the track is,

[tex]u=2ms^{-1}[/tex]

The distance traveled by the car is,

[tex]d=200\text{ m}[/tex]

The speed of the car after 4 seconds is,

[tex]v=22ms^{-1}[/tex]

Thus, the average speed of the car is,

[tex]v_{av}=\frac{u+v}{2}[/tex][tex]\begin{gathered} v_{av}=\frac{2+22}{2} \\ v_{av}=12ms^{-1} \end{gathered}[/tex]

Thus, the average speed of the roller coaster car is 12 meter per second.


Related Questions

A negative charge of .30 c and a positive charge of .50 are separated by .40What is the force between the charges?

Answers

Given:

The negative charge q1 = 0.3 C

The positive charge q2 = 0.5 C

The distance between the charges is 0.4 m

To find the magnitude of the force between them.

Explanation:

The formula to calculate the magnitude of the force is

[tex]F=\frac{kq1q2}{r^2}[/tex]

Here, k is Coulomb's constant whose value is

[tex]k=\text{ 9}\times10^9Nm^2C^{-2}[/tex]

On substituting the values, the magnitude of force will be

[tex]\begin{gathered} F=\frac{9\times10^9\times0.3\times0.5}{(0.4)^2} \\ =8.4375\text{ }\times10^9\text{ N} \end{gathered}[/tex]

Final Answer: The magnitude of the force is 8.4375 x 10^(9) N.

An object on a horizontal, frictionless surface is attached to a spring, displaced, and then released. If it isdisplaced 0.12m from its equilibrium position and released after 0.8s its displacement is found to be 0.12m onthe opposites side, and passed the equilibrium position once during the interval. Find:

Answers

Given:

The maximum displacement from the equilibrium position is A = 0.12 m.

Half of the time period is

[tex]T_{\frac{1}{2}}=\text{ 0.8 s}[/tex]

To find the amplitude, time period, and frequency.

Explanation:

Amplitude is the maximum displacement from the equilibrium position.

Thus, the amplitude is A = 0.12 m.

One time period is the time taken from maximum displacement on one side(say A) to maximum displacement on the opposite side and back to the maximum displacement on the same side(A).

Thus, the time period is

[tex]\begin{gathered} T=2T_{\frac{1}{2}} \\ =2\times0.8 \\ =1.6\text{ s} \end{gathered}[/tex]

The frequency will be

[tex]\begin{gathered} f=\frac{1}{T} \\ =\frac{1}{1.6} \\ =0.625\text{ Hz} \end{gathered}[/tex]

Which of the following is needed for an electric circuit to work?A. Fusion sourceB. Nuclear sourceC. Chemical sourceD. Energy sourceVoltage is a measure of the ________ it gives to the current.A. AccelerationB. SpeedC. PullD. Push

Answers

We will have the following:

The "part" needed for an electric circuit is an energy source.

Voltage is the measure of the acceleration it gives to the current.

A spring with spring constant 40 N/m is compressed .1m past it natural length. A mass of .5kg is attached to the spring. A. What is the elastic potential energy stored in the spring?B. The spring is released. What is the speed of the masses as it reaches the natural length of the spring?

Answers

Given data

*The given spring constant is k = 40 N/m

*The given compressed length is x = 0.1 m

*The given mass is m = 0.5 kg

(a)

The formula for the elastic potential energy stored in the spring is given as

[tex]U_p=\frac{1}{2}kx^2[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} U_p=\frac{1}{2}(40)(0.1)^2 \\ =0.2\text{ J} \end{gathered}[/tex]

Hence, the elastic potential energy stored in the spring is 0.2 J

(b)

The formula for the speed of the masses is given by the conservation of energy as

[tex]\begin{gathered} U_p=U_k \\ \frac{1}{2}kx^2=\frac{1}{2}mv^2 \\ v=x\sqrt[]{\frac{k}{m}} \end{gathered}[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} v=(0.1)\sqrt[]{\frac{40}{0.5}} \\ =0.89\text{ m/s} \end{gathered}[/tex]

Hence, the speed of the masses as it reaches the length of the spring is v = 0.89 m/s

The initial earthquake had a Richter scale reading of 3.24. The aftershock was 7470 times as strong as the initial earthquake. What was the Richter scale reading of the aftershock?(a) 7.11(b) 6.48(c) 4.32(d) 3.87

Answers

In order to determine the Richter scale reading of the aftershock, use the following formula:

[tex]M_2-M_1=\log (\frac{I_2}{I_1})[/tex]

Where I1 and I2 are the intensity of both earthquake and its aftershock, M1 and M2 are the magnitude on the Richter Scale for earthquake and aftershock.

In this case, you have:

I1 = intensity earthquake

I2 = 7470*I1

M1 = 3.24

M2 = ?

solve the equation above for M2 and replace the values of the given parameters:

[tex]undefined[/tex]

Which part of the rock cycle can only occur because of thermal convection?

1. Magma changing to igneous rock
2. Igneous rock changing to metamorphic rock
3. Metamorphic rock changing to sedimentary rock
4. Sediment changing to sedimentary rock

Answers

Answer:

magma changing to igneous rock

Explanation:

In rock formation, there are several processes involved which could include sedimentation, melting, crystallization, etc but there is a part of the rock cycle that can only occur because of thermal convection which is magma changing to igneous rock.

This occurs when the heat from inside the earth and cooler temperature moves the rock in its liquid state which is known as convection and can also be defined as a cycle of heat transfer from where the hot material rises and the cool material condenses.

A car travels 400 km in the first 4.5 hours of a trip. It stops for an hour and then travels final 300 km in 2.5 hours. Find the average speed of the car.

Answers

Given data:

Distance traveled by car in t_1=4.5 hr is s_1=400 km.

Distance traveled by car in t_2=1 hr is s_2=0 km (as the car was stopped).

Distance traveled by car in t_3=2.5 hr is s_3=300 km.

The average speed is given as,

[tex]\begin{gathered} v_{avg}=\frac{\text{ total distance traveled}}{\text{total time taken}} \\ =\frac{s_1+s_2+s_3}{t_1+t_2+t_3} \end{gathered}[/tex]

Substitute all known values,

[tex]\begin{gathered} v_{avg}=\frac{(400\text{ km})+(0\text{ km})+(300\text{ km})}{(4.5\text{ hr})+(1\text{ hr})+(2.5\text{ hr})} \\ =87.5\text{ km/h} \end{gathered}[/tex]

Therefore, the average speed of the car is 87.5 km/h.

7.0 J of work is done to draw a bowstring back. The bow launches an arrow with a mass of 0.09 kg straight upward.
(a) What is the arrow's kinetic energy as it leaves the bow? (Round your answer to one decimal place.)
J
(b) What is the arrow's speed? (Round your answer to one decimal place.)
m/s
(c) What maximum height does the arrow reach? (Round your answer to one decimal place.)
m

Answers

The final answer is

(a) The KE = 3.88 * 10

(b) The speed of the arrow is 2.93 * 10

(c) Height which the arrow attains is 4.38 * 10

When the arrow is drawn from a bowstring back then there will be some work done. The pulling of the bowstring will have a distance moved and the energy used to do this.

Given,

Work done = 7 J

Mass of the arrow = 0.09 kg

The computations for a and b are the following:

To calculate the Kinetic energy,

                  Work done = force x distance

                  7.0 J = force x 0.09

                   force = 7/0.09=77.77 = 7.77 x 10

                   force = m. a = 0.09 x a

                    77.77 / 0.09 = a = 864.1 = 8.64*10²

KE = 0.5 x m x v²

     = 0.5 x 0.09 x 864.1

     = 3.88 * 10

The speed of the arrow can be calculated as

       speed 38.8/(0.5 x 0.09) = v² = 862 sq-root

       Hence, v = 2.93*10¹ m/s is the answer

Height that the arrow reaches

       29.3² = 2gh

      = 29.3²/(2 x 9.8) = 858.49 / (2 x 9.8) = 43.8 m

h = 43.8 m or 4.38 * 10¹ is the answer

Therefore, we can conclude that the kinetic energy of the arrow that leaves bowstring is 3.88*10 with the speed of 29.3 m/s and it reaches the height of 43.8 m.

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What do you diagram to analyze orbital motion ?

Answers

The diagram to analyze the orbital motion can be shown as,

Here, a is the acceleration of moon and v is the speed.

The above diagram indicates the orbital motion of the moon around the earth. The moon is more towards the earth than the sun due to larger gravity of earth and at the same time the moon has its velocity that tends moon to move. Therefore, the moon has balanced gravitational and centripetal force to keep in an uniform orbital motion.

Three bulbs of resistance 100. Ω, 200, Ω and 300 Ω are connected in parallel to a 120. V DC power supply. Draw the diagram and find thea) current in each bulb b) current drawn from the power supplyc) total power drawn power supply d) the net resistance of all bulbs

Answers

Let's use the formula for electric current.

[tex]I=\frac{V}{R}[/tex]

Where V is the power supply 120 V, and R is the resistance. Let's find the current in each bulb.

[tex]\begin{gathered} I=\frac{120V}{100\Omega}=1.20A \\ I=\frac{120V}{200\Omega}=0.6A \\ I=\frac{120V}{300\Omega}=0.4A \end{gathered}[/tex](a) The current in each bulb is 1.20A, 0.6A, and 0.4A, respectively.

(b) (c) The diagram of the circuit is

To find the net resistance, we use the following formula.

[tex]\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}[/tex]

Let's use the given magnitudes.

[tex]\begin{gathered} \frac{1}{R}=\frac{1}{100\Omega}+\frac{1}{200\Omega}+\frac{1}{300\Omega} \\ \frac{1}{R}=\frac{6+3+2}{600\Omega} \\ \frac{1}{R}=\frac{11}{600\Omega} \\ R=\frac{600}{11}\Omega \\ R\approx54.55\Omega \end{gathered}[/tex]Therefore, the net resistance of all bulbs is 54.55 ohms.

Describe
protons.
Location:
Charge:
Mass:

Answers

The protons in an atom are classified according to their mass, charge, and location as follows:

Particle:   Protons

Mass:       1.67262 × 10⁻²⁷ kg

Charge:   Positive charge (+e or +1)

Location: Found in the nucleus of every atom

The proton is a stable subatomic particle with a rest mass of 1.67262 x 10⁻²⁷ kg, or 1,836 times the mass of an electron, with a positive charge that is equal to one electron's charge in magnitude.

All atomic nuclei, with the exception of the hydrogen nucleus, are composed of protons and neutrons, which are electrically neutral particles (that consist of a single proton). A given chemical element's nuclei all contain the same number of protons. This number establishes an element's atomic number and establishes the element's position in the periodic table. An atom is electrically neutral when the number of protons in its nucleus equals the number of electrons in its orbit.

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Alpha decay results in the emission of aPositively charged helium ionPhotonNegatively charged electronNeutrino

Answers

An alpha particle is a Helium nucleus that is emitted during alpha decay, this meant that alpha decay results in the amission of a Positively charged helium ion.

An electron is in an infinite one dimension well that is 8.9 nm wide. What is the ground state energy of the electron?

Answers

The ground state energy of the electron is 2.23 x 10⁻¹⁷ J.

What is the ground state energy of the electron?

The ground state energy of the electron is calculated by applying the formula for energy of photons.

E = hf

E = hc/λ

where;

h is Planck's constantc is speed of lightλ is the wavelength

E = (6.626 x 10⁻³⁴ x 3 x 10⁸) / (8.9 x 10⁻⁹)

E = 2.23 x 10⁻¹⁷ J

Thus, the ground state energy of the electron is determined by applying the principle or formula for energy of a single photon at the given wavelength of 8.9 nm.

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if the dolphin is moving horizontally when it goes through the hoop how high above the water is the center of the hoop

Answers

We are given that a dolphin moves describing a projectile motion. This can be represented in the following graph of position vs time:

Since the dolphin moves horizontally as he goes through the hoop this means that the hoop is at the maximum height of the motion. The maximum height of a projectile motion is given by:

[tex]h_{\max }=\frac{v^2\sin ^2\theta}{2g}[/tex]

Where:

[tex]\begin{gathered} h_{\max }=\text{ max}imum\text{ height} \\ v=velocity_{} \\ \theta=\text{ initial angle} \\ g=\text{ acceleration of gravity} \end{gathered}[/tex]

Now, we plug in the values:

[tex]h_{\text{max}}=\frac{(10\frac{m}{s})^2(\sin (41))^2}{2(9.8\frac{m}{s^2})}[/tex]

Solving the operations:

[tex]h_{\max }=2.2m[/tex]

Therefore, the hoop is at 2.2 meters above the water.

The train above is traveling at a constant velocity because the forces acting on it are in equilibrium. Therefore, the missing force must have a magnitude (blank) of newtons to the (blank).

Answers

Answer:

The missing force has a magnitude of 800 N to the right

Explanation:

The forces acting on the train are in equilibrium.

This means that the sum of all the forces acting in the right direction equals the sum of all the forces acting in the left direction

Let the missing force be represented by F

1700 = 900 + F

F = 1700 - 900

F = 800 N

Therefore, the missing force has a magnitude of 800 N to the right

Calculate the kinetic energy of a 3.15 kg bowling ball rolling down the lane at 2.5 m/s. Include the units.

Answers

Given:

The mass of the ball is: m = 3.15 kg

The velocity of the ball is: v = 2.5 m/s

To find:

The kinetic energy of the ball.

Explanation:

The kinetic energy is the energy that a particle has when is is in motion. For the particle of mass m moving with velocity v, the kinetic energy KE is given as:

[tex]KE=\frac{1}{2}mv^2[/tex]

Substitute the values in the above expression, we get:

[tex]\begin{gathered} KE=\frac{1}{2}\times3.15\text{ kg}\times(2.5\text{ m/s\rparen}^2 \\ \\ KE=\frac{1}{2}\times3.15\text{ kg}\times6.25\text{ m}^2\text{/s}^2 \\ \\ KE=9.84\text{ kg.m}^2\text{/s}^2 \\ \\ KE=9.84\text{ J} \end{gathered}[/tex]

Final answer:

The kinetic energy of the ball is 9.84 J.

true or false? a liter is a metric unit for area

Answers

A iter is defined as 1 cubic decimeter. It is the volume that fits inside a cube whose side measures 10 centimeters:

Therefore, the statement is false because a liter is a metric unit for volume.

Instructions: 1) write out the question 2) work out the solution 3) Explain in words how you would know to do that1. What is the momentum of a 5.0 g bullet with a velocity of 500 m/s?

Answers

Given data:

The mass of bullet is m=5.0 g.

The velocity fo bullet is v=500 m/s.

The formula for the momentum is given by,

[tex]p=mv[/tex]

Substitute the given values in above equation,

[tex]\begin{gathered} p=(5g\times\frac{1kg}{1000\text{ g}})(\frac{500m}{s}) \\ p=\frac{2.5kgm}{s} \end{gathered}[/tex]

Thus, the momentum of the bullet is 2.5 kgm/s.

According to the definition of momentum, "It is the product of mass and velocity". Therefore, the momentum of moving body can be calculated by multiplying the mass of the body and velocity at which the body is moving.

So, that is how we know how to calculate the momentum of the body.

An object is launched at a speed of 20 m/s. If it rises to a height of 12 m, at what angle was it launched? ________° above the +x direction

Answers

Given:

The initial speed of the object is,

[tex]u=20\text{ m/s}[/tex]

The maximum height is,

[tex]H=12\text{ m}[/tex]

To find:

The angle of launch above the X-axis

Explanation:

The maximum height above the X-axis is,

[tex]H=\frac{u^2sin^2\theta}{2g}[/tex]

Here, the angle above the X-axis is,

[tex]\theta[/tex]

Substituting the values we get,

[tex]\begin{gathered} 12=\frac{(20)^2sin^2\theta}{2\times9.8} \\ sin^2\theta=\frac{12\times2\times9.8}{400} \\ sin\theta=0.7668\text{ \lparen taking positive value only\rparen} \\ \theta=50.1\degree \end{gathered}[/tex]

Hence, the angle of launch is,

[tex]50.1\degree[/tex]

A hydroelectric plant takes energy from water and turns it into electrical energy.What are the transformations of energy in the water molecules that are used in theprocess of generating electricity this way?The water particles initially have kinetic energy due to their motion. This kineticenergy is transformed into potential energy due to the position of the water andthen this energy is used to produce electricity.The water particles initially have potential due to their position. This potentialenergy is transformed into thermal energy and then this energy is used toproduce electricity.The water particles initially have chemical energy due to the bonds in water. Thischemical energy is transformed into thermal and then the thermal energy is usedto produce electricity.The water particles initially have potential due to their position. This potentialenergy is transformed into kinetic energy due to the motion of energy and thenthe kinetic energy is used to produce electricity.

Answers

Answer:

The last option.

Explanation:

The principle of hydroelectric dams is the following:

Basically, we utilizie the energy of the falling wat

A Curve in a road has 60m radius The angle of bank of the road is 4.7° Find the maximum speed of car can have without skidding. If the Coefficient of Static Friction between tyres and road is 0.8. ​

Answers

Answer:

An unbanked curve has a radius of 60m. The maximum speed at which a car can make a turn if the coefficient of static friction is 0.75, is.

Explanation:

25. A student cycles along a level road at a speed of 5.0 m / s. The total mass of the student and bicycle is 120 kg. The student applies the brakes and stops. The braking distance is 10 m. What is the average braking force?

Work = change in energy
Fd = 1/2 mv^2
F = 1/2 x 120 x 5^2 / 10
F = 150 N

Answers

If a student cycles along a level road at a speed of 5.0 m / s. The total mass of the student and bicycle is 120 kg. The student applies the brakes and stops. The braking distance is 10 m, then the average braking force would be 150 Newtons.

What is power?

The rate of doing work is known as power. The Si unit of power is the watt.

Power =work / time

Work done by the braking force  = change in kinetic  energy

F × s = 1/2 × m × v²

F = 0.5 x 120 x 5² / 10

F = 150 Newtons

Thus, the average braking force would be  150 Newtons.

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Thermal equilibrium implies that:A:the state of restB:absolute zero temperatureC:the maximum temperatureD:equilibrium temperature

Answers

Explanation

Heat is the flow of energy from a high temperature to a low temperature. When these temperatures balance out, heat stops flowing

so, after some time both regions reach thermal equilibrium and no more energy is transfered.so we can conclude that

thermal equilibrium inplies that there is equilibrium temperature

D.equilibrium temperature

I hope this helps you

Consider a fluid of density 3.43 g⋅cm−3 flowing through a pipe of varying cross-section. The diameter of the pipe in one section is 9.1 cm, while the diameter in a second section is 12.6 cm. When the diameter of the pipe is 9.1 cm, the flow speed of the fluid is 339 cm⋅s−1 and the pressure is 2.93 × 105 Pa.A)Calculate the flow speed (in m⋅s−1) of the fluid when the diameter of the pipe is 12.6 cm. B)Calculate the pressure (in × 105 Pa) when the pipe has a diameter of 12.6 cm

Answers

Given that the pipe has varying cross-sections.

The diameter of one section is d1 = 9.1 cm and the diameter of second section is d2 = 12.6 cm.

Also, the fluid has the density,

[tex]\rho=3.43gcm^{-3}[/tex]

The area of the cross-section for the first section is

[tex]\begin{gathered} A_1=\frac{\pi(d1)^2}{4} \\ =\frac{\pi(9.1)^2}{4}cm^2 \end{gathered}[/tex]

The area of the cross-section for the second section is

[tex]\begin{gathered} A_2=\frac{\pi(d2)^2}{4} \\ =\frac{\pi(12.6)^2}{4}cm^2 \end{gathered}[/tex]

The flow speed for the first section is v1 = 339 cm s^-1

The flow speed for the second section will be v2.

(a) The flow speed for the second section can be calculated as

[tex]\begin{gathered} A_1v1=A_2_{}v2 \\ v2=\frac{A_1v1}{A_2} \\ =\frac{\pi(9.1)^2\times339\times4}{4\times\pi\times(12.6)^2} \\ =\text{ 176.82 cm/s} \\ =1.7682\text{ m/s} \end{gathered}[/tex]

(b) The pressure for first section is p1 = 2.93 x 10^5 Pa

The pressure for the second section will be p2.

The pressure for the second section can be calculated by the formula,

[tex]\begin{gathered} p2=p1+\frac{1}{2}\rho\mleft\lbrace(v1)^2-(v2\mright)^2\} \\ =2.93\times10^5+\frac{1}{2}\times3.43\mleft\lbrace(339)^2-(176.82)^2\mright\rbrace \\ =4.36\text{ }\times10^5\text{ Pa} \end{gathered}[/tex]

jerome pitches a baseball of mass 0.300 kg. the ball arrives at home plate with a speed of 40.0 m/s and is batted straight back to jerome with a return speed of 52.0 m/s. what is the magnitude of change in the ball's momentum?

Answers

The change in the momentum of the ball is 3.6 Kgm/s.

What is momentum?

The term momentum has to do with the product in the velocity of a body and mass of the body. We have to recall at this point that rate of change of momentum is directly related  to the impressed force and this is in accordance with the Newton second law of motion.

Now we have to look at the few pieces of information that we can be able to glean from  the question;

Mass of the object = 0.300 kg

Initial speed of the object = 40.0 m/s

Final speed of the object = 52.0 m/s

Given that the change in the velocity of the object is given by;

m( v - u)

m = Mass of the object

v = Final speed of the object

u = Initial speed of the object

change in the velocity of the object = 0.300(52 - 40)

= 3.6 Kgm/s

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Every time a cycle of convection currents occur, the temperature of the water ________.A. IncreasesB. Stays the sameC. DecreasesD. Goes to zero

Answers

The answer to this question is B

The reason the answer is B is because of how the cycle works. In the beggining, water is heated up and evaporates into the atmosphere as water vapor. Then the water cools down and condensates, coming back down. The water then ends up back to the same temperature as the earth. So in the end, the entire cycle doesn't add or remove heat from the water.

If there is a source voltage of 12 volts with a 2.5 volt drop over the LED, and an intended current of 100 mA, what size resistor should be used?

Answers

Given:

A voltage source has a voltage of 12 V.

A voltage drop over the LED is 2.5 V.

The current in the circuit is 100 mA.

To find:

The resistance of the resistor should be used.

Explanation:

LED is a forward-biased PN junction that emits light. The voltage drop over the LED is 2.5 V.

The voltage source has a voltage of 12 V.

Hence, the total voltage in the circuit = 12 V - 2.5 V = 9.5 V

The resistance of the circuit in the forward biased is almost equal to zero. Let the resistance in the circuit be R.

Thus, the total resistance in the circuit = 0 + R = R

The current in the circuit is = 100 mA = 0.1 A

The resistance R of the circuit can be calculated as:

[tex]R=\frac{V}{I}[/tex]

Here, V is the voltage in the circuit and I is the current in the circuit.

Substituting the values in the above equation, we get:

[tex]\begin{gathered} R=\frac{9.5\text{ V}}{0.1\text{ A}} \\ \\ R=95\text{ }\Omega \end{gathered}[/tex]

Final answer:

Hence, a resistor of 95 Ω should be used in the circuit.

A spring with a spring constant of 52N/m sits on a desk. The spring is 34cm long. A block of mass 0.12kg is placed on top of the spring. How high above the desk does the block rest?

Answers

Answer:

H =  31.7 cm

Explanation:

Given:

k = 52 N/m    -   Spring rate

L = 34 cm = 0.34 m - Spring length

m = 0.12 kg

g = 9.8 m/s²

____________

H - ?

Block weight:

F = m*g = 0.12·9.8 ≈ 1.18 N

According to Hooke's law:

F = k·ΔL

The spring is compressed by:

ΔL = F / k = 1.18 / 52 ≈ 0.023 м

Height of the block above the table:

H = L -ΔL = 0.34 - 0.023 = 0.317 m     or   H =  31.7 cm

but 9 volt battery is connected to a 4 ohm resistor and the 5 Ohm resistor as shown in the diagram. How much current flows through the 4 ohm resistor ?

Answers

Given data

The resistance of the first resistor is R1 = 4 ohm

The resistance of the second resistor is R2 = 5 ohm

The potential difference of the battery is V = 9 V

The resistors are connected in series. The expression for the equivalent resistance is given as:

[tex]\begin{gathered} R=R_1+R_2_{} \\ R=4\text{ }\Omega+5\text{ }\Omega \\ R=9\Omega \end{gathered}[/tex]

The expression for the current in the 4-ohm resistor is given as:

[tex]\begin{gathered} I=\frac{V}{R} \\ I=\frac{9\text{ V}}{9\text{ }\Omega} \\ I=1\text{ A} \end{gathered}[/tex]

Thus, the magnitude of the current flows through the 4-ohm resistor is 1 A.

A 5.0 kg block moves in a straight line on a horizontal frictionless surface under the influence of a force that varies with position as shown in the figure. The scale of the figure's vertical axis is set by F = 20.0 N. How much work is done by the force as the block moves from the origin to x = 8.0 m?

Answers

The work done by the force to move the object from the origin to x = 8 m is 160 J.

The mass of the block, m = 5 kg

The block moves in a straight line on a frictionless surface.

A force of F = 20 N is acting on the object.

The work done by the force when the block moves from one place to another can be defined by the formula,

W = Fd where F is the force and d is the distance covered.

Now, we have F = 20 N and;

d = x = 8 m

Therefore, the work done by the object will be:

W = Fx

W = 20 × 8

W = 160 joules

The work done by the force to move the object to x = 8 m is 160 J.

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an adviser is creating a financial plan for retirement using a capital needs approach. which type of insurance policy would be recommended as part of the plan? differences across international markets in voltage patterns affect the blank element of the marketing mix. multiple choice question. promotion price product place A meteorite is found to contain two isotopes of element x, x-12, and x-14. Experimental analysis determined 95% of the element is isotope x-12, whereas 5% of the element is isotope x-14. What is the average atomic mass of element x?. You have an investment account that has a balance of $50,000. If the account iscompounded daily and has an interest rate of 4%, how much did you originally depositinto the account 10 years ago? A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Red 1 is an example of which of the following events? Select all correct answers. What is the area of this triangule? h = 12 in, b = 3 in The perimeter of a rectangular garden is 72 meters. The length is 6 meters longer thantwice the width. Find the dimensions of the garden. i have to write an essay for the book "eraser tattoo" and the topic of my claim is that " Separation is something that most people experience." i need 3 things for the text that supports my claim Identify the rate of change and Intial Value in this equationy = 3x +6 Birch bark baskets and pottery artifacts tell us that early inhabitants of the Americasused metalstored foodhunted buffalosewed animal skins one steel ball and one aluminum ball are the same size but the steel ball weighs twice as much as the other. the balls are dropped from the roof of a single-story building at the same instant of time. the time it takes the balls to reach the ground below will be: question allistair throws a biased six-sided dice. the probability of getting a 6 with this dice is 0.4. the other numbers are equally probable. if he throws the dice 3 times, what is the probability that he gets 5, 3, and 2 in this order? 4x-6a(8x)/98y Solve for x What is the value of x? Enter your answer in the box. x = 3/4 - (-1/2) as a fraction coldpoint is a home appliance manufacturer. the company purchases a certain component for their products. southern electronics and electrotech are two companies that make the component, and their products and services are equal, so the component will be bought based solely on cost. both companies offer a discount policy based on order quantity. however, these two companies post different price schedules. for southern electronics, if the order quantity is less than 500 units, the price is $0.60 per unit; if the quantity is 500 or more but less than 1000, the unit price is $0.58; any quantity 1000 units or over has a unit price of $0.56. electrotech offers the same quantity range and prices. however, the discount rare applies only to the excess amount ordered. that is, if the order quantity is 500 units, the first 499 units cost $0.60 and the 500th unit cost $0.58. if 1000 units are ordered, the first 499 units cost $0.60 and the next 500 [500, 999] cost $0.58. any unit beyond the 1000th costs $0.56. the company estimates the cost of placing an order to be $20, and the uniform annual demand for this subcomponent is 800 units. inventory carrying cost is estimated to be 20 percent annually. a) plot the cost curve for southern electronics b) compute the minimum cost order quantity for southern electronics. c) plot the cost curve for electro tech d) compute the minimum cost order quantity for electro tech 4 students from a class of 15 are going to be chosen to be on the dance committee. Findthe number of different 4-person committees that can be made. Perimeter and area polynomials A red die is tossed and then a green dieis tossed. What is the probability thatthe red die shows a six or the green dieshows a six?Hint: The two events are not mutually exclusive. So to the find theprobability of the union, use:P(A or B) = P(A) + P(B) - P(A and B)[?] find the pressure increase in a fluid when a force of 25 N is exerted on a closed syringe where the piston radius is 2 cm.