if a jar wrench whose handle extends 19 cm from the center of the jar is attached to the lid, what is the minimum force required to open the jar?

Answers

Answer 1

To calculate the minimum force required to open a jar using a jar wrench, we need to consider the torque required to overcome the friction between the lid and the jar.

The torque required to open a jar can be calculated using the formula:

Torque = Force x Distance

where Force is the minimum force required to open the jar, and Distance is the distance between the center of the jar and the point where the force is applied (in this case, the distance between the center of the jar and the end of the jar wrench handle, which is 19 cm).

The minimum force required to open the jar can be calculated by dividing the torque required by the radius of the lid.

Let's assume that the radius of the lid is 4 cm.

So, the minimum force required to open the jar is:

Force = Torque / Radius of the lid

To calculate the torque required, we need to estimate the force of friction between the lid and the jar. Let's assume that the force of friction is 0.2 times the weight of the jar, which is the typical range for a well-sealed jar.

So, the torque required to open the jar is:

Torque = Force of friction x Distance

Torque = 0.2 x Weight of the jar x Distance

Let's assume that the weight of the jar is 500 grams, which is equivalent to 4.9 N (Newtons), and the distance between the center of the jar and the end of the jar wrench handle is 19 cm.

So, the torque required to open the jar is:

Torque = 0.2 x 4.9 N x 19 cm

Torque = 1.86 N-cm

Now we can calculate the minimum force required to open the jar:

Force = Torque / Radius of the lid

Force = 1.86 N-cm / 4 cm

Force = 0.47 N

Therefore, the minimum force required to open the jar using a jar wrench with a handle that extends 19 cm from the center of the jar is approximately 0.47 N.

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Related Questions

when you ride your scooter you have momentum When you ride twice as last you have Select one: a.almost twice the momontum- b.nonc ol the above c.twice the momentum d. four times the momentum

Answers

When you ride your scooter, you have momentum which is determined by your mass and velocity. Momentum is a vector quantity, meaning it has both magnitude and direction.

When you ride twice as fast, you have twice the velocity, which results in a change in momentum.The relationship between velocity and momentum is direct. Therefore, when you ride twice as fast, you have twice the momentum. This means that the correct answer is option c. You will have twice the momentum when you ride twice as fast on your scooter.It is important to note that momentum is conserved in a closed system, which means that the total momentum before and after the event remains the same.

Therefore, if you were to ride your scooter into a wall, your momentum would be transferred to the wall, causing you to stop abruptly. When you ride your scooter, you have momentum. Momentum is the product of an object's mass and velocity (p = mv). If you ride twice as fast, your velocity doubles. In this case, your momentum also doubles, since the mass remains the same. Therefore, the correct answer is c. twice the momentum.

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How much heat is absorbed when 50 g of water is heated from 27°C to
85°C? (The specific heat of water is 4.184 J/gºC.)

Answers

15 C I think.... I’m not sure could you send the answer choices if there is any?

Sorry to bother y’all again but can someone pls help me

Sorry to bother yall again but can someone pls help me

Answers

Answer:

definitely top answer

Explanation:

because it make sense

A because it is right don’t question me

the fundamental frequency of organ pipe a, with one end closed, is 266.0 hz. the frequency of the fifth harmonic of organ pipe a is the same as the frequency of the third harmonic of organ pipe b also with one end closed. take the velocity of sound as 343 m/s.

Answers

The length of organ pipe b is 17.75 cm. The result is obtained by using the equality of frequency organ pipe a and frequency of organ pipe b.

What is organ pipe?

An organ pipe is an element that produces sound resonating at a specific pitch when pressurized air is exerted through it.

There are two kinds of organ pipe. They are closed organ pipe and open organ pipe. One end of the closed organ pipe is closed and another end is opened. While, both end of the open organ pipe is opened.

The frequency of closed organ pipe can be found by

fₙ = v / λn

fₙ = (2n + 1)v / 4L

Where

fₙ = frequency of n-harmonic (Hz)v = velocity of sound (m/s)n = 0, 1, 2, 3, ...L = the length of organ pipe (m)

NOTE:

1st harmonic = fundamental frequency → n = 0.2nd harmonic → n = 1

A closed organ pipe has a fundamental frequency of 266 Hz. The 5th harmonic of closed organ pipe a is the same as the 3th harmonic of closed organ pipe b. Determine the length of organ pipe b!

We have:

f₀ = 266 Hzf₄ (a) = f₂ (b)v = 343 m/s

The length of organ pipe a is

f₀ = (2(0) + 1)v / 4L

266 = 343 / 4L

1.278 = 4L

L = 0.3195 m

To determine the length of organ pipe b, we use f₄ (a) = f₂ (b).

f₄ (a) = f₂ (b)

(2(4) + 1)v / 4La = (2(2) + 1)v / 4Lb

9 / 0.3195 = 5 / Lb

Lb = (0.3195 × 5)/9

Lb = 0.1775 m

Lb = 17.75 cm

Hence, the length of the closed organ pipe b is 17.75 cm.

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learning goal: to be able to calculate the energy of a charged capacitor and to understand the concept of energy associated with an electric field. the energy of a charged capacitor is given by u

Answers

The energy of a charged capacitor, denoted as U, can be calculated using the formula:

U = (1/2) * C * V^2

where C is the capacitance of the capacitor and V is the voltage across the capacitor.

The energy of a charged capacitor represents the amount of electric potential energy stored in the electric field between the capacitor plates. When a capacitor is charged, work is done to move charges from one plate to the other, creating an electric field and storing energy in the form of the electric field. This stored energy can be released when the capacitor is discharged.

The formula for the energy of a charged capacitor demonstrates that the energy is directly proportional to the square of the voltage and the capacitance. A higher voltage or larger capacitance will result in a greater energy stored in the capacitor.

Understanding the concept of energy associated with an electric field in a capacitor is essential for analyzing and designing circuits and electrical systems.

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A group of 22 students, each of whom can pull with 100lb of force, are trying to topple a 10500lb statue. Assuming it doesn’t slide. How much torque is caused by the statues weight.

Answers

The torque caused by the weight of the statue is 52500 lb-ft.

How do you define torque?

The ability of something that is rotating is called as torque.

Torque caused by the weight of the statue can be calculated using the formula: Torque = force x distance x sin(theta)

force is weight of the statue, distance is distance from the axis of rotation to the point where force is applied, and theta is angle between force vector and the lever arm.

Let's assume that radius of the base of the statue is 5 feet. Then, distance from the axis of rotation to the point where force is applied is 5 feet.

Given weight of the statue is 10500 pounds. Therefore, torque caused by the weight of the statue can be calculated as follows: Torque = 10500 lb x 5 ft x sin(90°) = 52500 lb-ft

As sin(90°) is equal to 1

Therefore, the torque caused by the weight of the statue is 52500 lb-ft.

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6. A suitcase weighing 120 N sits on a counter 1.8 m high
in the airport. How much gravitational potential
energy does it have?

Answers

Answer:

216 J

Explanation:

h = 1.8

a = 9.8

m = 12.2

GPE = HAM = 216

The gravitational potential energy of a suitcase weighing 120 N sits on a counter 1.8 m high in the airport is 216 Joules.

What is Gravitational Potential Energy?

Gravitational potential energy is the energy which is present inside the body of an object which is at rest. This energy is transformed into kinetic energy as soon as the object changes its state of rest to motion.

The gravitational potential energy of an object can be calculated through the formula:

GPE = m × g × h

where, GPE = Gravitational Potential Energy,

m = mass of the object,

h = height covered by the object

w = m × g

where, w = weight of the object

So, the gravitational potential energy of the object is:

GPE = 120 × 1.8

GPE = 216 Joules

Therefore, the gravitational potential energy of the suitcase is 216 Joules.

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A 18.5-cm-diameter loop of wire is initially oriented perpendicular to a 1.2-T magnetic field. The loop is rotated so that its plane is parallel to the field direction in 0.26 s. Part A What is the average induced emf in the loop?

Answers

A 18.5-cm-diameter loop of wire is initially oriented perpendicular to a 1.2-T magnetic field. The loop is rotated so that its plane is parallel to the field direction in 0.26 s ,the average induced emf in the loop is approximately -0.347 T·m²/s.

To calculate the average induced electromotive force (emf) in the loop, we can use Faraday's law of electromagnetic induction, which states that the induced emf is equal to the rate of change of magnetic flux through the loop.

Given:

Diameter of the loop (d) = 18.5 cm = 0.185 mRadius of the loop (r) = d/2 = 0.0925 mMagnetic field (B) = 1.2 TTime taken to rotate the loop (Δt) = 0.26 s

The magnetic flux through the loop (Φ) can be calculated as:

Φ = B * A

where A is the area of the loop.

For a circular loop, the area can be calculated as:

A = π * r^2

The rate of change of magnetic flux (dΦ/dt) is given by:

dΦ/dt = B * dA/dt

Since the loop is being rotated, the change in area with respect to time (dA/dt) can be calculated as the rate of change of the area of a circle with radius r:

dA/dt = π * (2r * Δr/dt)

The average induced emf (ε) is then given by:

ε = -dΦ/dt

Substituting the values into the equations and solving:

A = π * r^2

= π * (0.0925 m)^2

≈ 0.0269 m^2

dA/dt = π * (2r * Δr/dt)

= π * (2 * 0.0925 m * 0.185 m/0.26 s)

≈ 0.289 m^2/s

dΦ/dt = B * dA/dt

= (1.2 T) * (0.289 m^2/s)

≈ 0.347 T·m²/s

ε = -dΦ/dt

≈ -0.347 T·m²/s

Therefore, the average induced emf in the loop is approximately -0.347 T·m²/s.

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mercury is a liquid or not​

Answers

its liquid at room temperature
It is liquid at room but if the room temp is 12 or 10 it changes to solid but not all the time

What do you mean by focus in science

Answers

“a point at which rays of light, heat, or other radiation meet after being refracted or reflected.” Meaning multiple light rays or heat (and other forms of radiation) are all being refracted or reflecting to a certain point

Psertica track detectors are ised to measure the speed of particles in the lifetime of the particie is known. Particie-X has a lifetime of 256.2. an experment inside the detector by a given reaction. The partides leave 10.6 cm long tracks on average before they decay into other particies not abservable by the detectori What is the aunage speed of the particles in terms of the speed of light? Tries 0/12

Answers

The average speed of the particles in terms of the speed of light is 0.976c. Given that, The particle-X has a lifetime of 256.2.A particle track detector is used to measure the speed of particles. On average, the particles leave 10.6 cm long tracks before they decay into other particles that are not observable by the detector.

The formula to calculate the average speed of the particles is given as;v = d / t Where,v = velocity of the particles, d = distance traveled by the particles, and t = time taken by the particles. The distance traveled by the particles before they decay is 10.6 cm = 0.106 m. The lifetime of the particle is given as 256.2 s. Therefore, time taken by the particle to decay, t = 256.2 s.

The speed of the particles can be calculated as follows; v = d / tv = 0.106 / 256.2v = 4.135 × 10^-4 m/s The speed of the particles in terms of the speed of light can be calculated as follows; Speed of light = 3 × 10^8 m/s Average speed of the particles in terms of the speed of light, v/c= (4.135 × 10^-4) / (3 × 10^8)= 0.976 × 10^-8= 0.976cTherefore, the average speed of the particles in terms of the speed of light is 0.976c.

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A _______________ disperses light into its component wavelengths and selects a narrow band of wavelengths to pass on to the sample or detector.

Answers

Answer:

monochromator

Explanation:

Directions and analysis task 1: modeling the solar system in this task, you will design a scale model of the solar system. a simple scale model would depict the sun and eight planets to scale. research online for resources that provide information on creating a model that scales up to the proper dimensions of the solar system. use this site to calculate a scale for the various bodies in the solar system by specifying a fixed size for the sun. (note: distances between planets in the solar system are extremely large, so it is recommended to perform this task in an open park for best results.) record your findings and provide a detailed explaination of how you visualized your scale model. type your response here:

Answers

Create a scale model of the solar system using online resources for scaling information. Visualize and represent the model accurately in an open park setting.

To design a scale model of the solar system, research online resources for guidelines on scaling the planets in relation to the sun. Calculate the appropriate scale by choosing a fixed size for the sun and proportionally adjusting the sizes of the other celestial bodies.

Consider the dimensions of the chosen open park setting to ensure there is enough space to accurately represent the vast distances between the planets. Visualize the model by accurately depicting the relative sizes and distances of the sun and planets, ensuring each body is positioned at the correct scaled distance from the sun.

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What can you infer about a wave with a short wavelength? Question 5 options: It has a low amplitude. It has a high amplitude. It has a high frequency. It has a low frequency.

Answers

Option C is correct. It has a high frequency. Wavelength is inversly proportional to the frequency. For short-wavelength, the frequency will be high.

Describe the connection between wavelength & frequency?

Frequency and wavelength have an inverse connection with one another. As a result, the wave with a high frequency should have a short wavelength.

For short-wavelength, the frequency will be high.

Hence Option C is correct. It has a high frequency.

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Answer:

c <33

Explanation:

Determine the escape speed for a rocket to leave Earth's Moon. The radius of Moon is 1740km and its mass is 7.36×1022kg .

Answers

The escape speed of the rocket from the Earth's Moon is 2,375.43 m/s.

What is the escape speed of the rocket?

The escape speed for a rocket to leave Earth's Moon is calculated by applying the following formula.

v = √ ( 2GM / r )

where;

G is universal gravitation constantM is the mass of the Moonr is the radius of the Moon

The escape speed of the rocket from the Earth's Moon is calculated as;

v = √ ( 2 x 6.67 x 10⁻¹¹ x 7.36 x 10²² / 1,740,000 )

v = 2,375.43 m/s

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Which wave on the EMR spectrum has the longest wavelength?

Answers

Answer:

Radio waves, infrared rays, visible light, ultraviolet rays, X-rays, and gamma rays are all types of electromagnetic radiation. Radio waves have the longest wavelength, and gamma rays have the shortest wavelength.

You are deigning another dolly andbag ytem for a different actor in the performance the ma of the dolly and the actor combined i 76kg and then ma of the andbag i 18kg the coefficient of kinetic friction Between the dolly and the tage floor i 0. 20. What i the acceleration

Answers

The acceleration of a dolly-sandbag system when mass and coefficient of kinetic friction is given is calculated to be 0.29 m/s².

Given that,

The mass of the dolly and actor combined M = 76 kg

The mass of the sandbag m = 18 kg

The coefficient of kinetic friction between the dolly and the stage floor = 0.20.

Let the acceleration is a.

From Newton's 2nd law of motion, we can write that,

ΣF = (m+M) a

mg - μMg = (m+M) a

a = g (m- μM)/ (m+M)

a = 9.8 ( 18 - 0.20×76)/(18+76)

a = 0.29 m/s².

Thus, the acceleration of the dolly-sandbag system is 0.29 m/s².

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A car has a total mechanical energy of 920,500 J. If it goes airborne over a hill at 1.2 m above the ground, while traveling at 18 m/s, what is the mass of the car?

Answers

The mass of the car, according to the inquiry, is 897.6 kg.

What is mass?

Mass is the measure of the amount of matter in an object. It is measured in kilograms (kg) in the International System of Units (SI), or in pounds (lb) or ounces (oz) in the imperial and US customary systems. Mass can also be measured using density, which is the ratio of mass to volume.

The kinetic and potential energies of the car can be added to get its total mechanical energy, which is 920,500 J. We know the height of the slope (1.2 m), the speed of the car (18 m/s), and that it is flying over the hill.

K = 0.5 x m x (18 m/s)²

U = m x 9.8 m/s² x 1.2 m

0.5 x m x (18 m/s)² = 920,500 J

m x 9.8 m/s² x 1.2 m = 920,500 J

Solving these two equations, we get m = 897.6 kg.

Therefore, the mass of the car is 897.6 kg.

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How many times stronger is an MRI than a magnet?

Answers

MRI machines have a magnetic field strength of 1.5T or 3T, while a magnet has a strength of approximately 0.01 T. Therefore, an MRI magnet can be about 1,000 times stronger than a  magnet.

An MRI (Magnetic Resonance Imaging) machine uses a powerful magnet to generate images of the body's internal structures. The strength of an MRI magnet is typically measured in tesla (T).

To give a comparison, a typical refrigerator magnet has a magnetic field strength of about 0.01 T, while a typical MRI machine has a magnetic field strength that is thousands of times stronger, ranging from 1.5 T to 3.0 T.

Therefore, an MRI machine is typically thousands of times stronger than a typical magnet in terms of magnetic field strength. However, it's important to note that the strength of a magnetic field is not the only factor that determines the effectiveness of an MRI machine for medical imaging purposes. Other factors, such as the design of the machine and the type of radio waves used, also play important roles.

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Which nucleus completes the following equation?

Which nucleus completes the following equation?

Answers

Answer:

B. \(\frac{218}{85} At\)

Explanation:

A P E X

The nucleus that completes the following equation is ²²⁶Ac₈₉

²²²Fr₈₇ →⁴He₂ +  ²²⁶Ac₈₉

Therefore the correct answer is option C.

What is radioactive decay?

The phenomenon of Radioactive decay is a type of nuclear reaction in which the unstable nucleus of a radioactive element lose energy in the form of nuclear radiation, some examples of radioactive decay are alpha decay, decay, and beta decay.

The complete equation for the nuclear reaction is

²²²Fr₈₇ →⁴He₂ +  ²²⁶Ac₈₉

For the given problem the nucleus completes the given equation is  ²²⁶Ac₈₉. The correct answer is option C.

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How would the motion of the book change if there was MORE friction as it moved across the table?

Answers

Answer:

The force of friction opposes the motion of an object, causing moving objects to lose energy and slow down.

Explanation:

what is the electric flux through the circle when its face is at 30 ∘ to the field lines?

Answers

The following formula determines the electric flow across a circle: Φ = E * A * cos(θ) where is the electric flux, E is the intensity of the electric field, A is the circle's size.

the angle formed between the lines of the electric field and the circle's normal. In this instance, the circle and the field lines are at a 30 degree angle. Assume for the moment that the electric field is E-strong and uniform. Hence, E * cos(30°) = E * sqrt(3)/2 is the component of the electric field perpendicular to the circle. A = r2, where r is the circle's radius, is the formula for the area of a circle. Although we are unaware of r's value, we may guess that it is significant enough that.

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a basball leaves the bat at an angle of 30 degrees from the horizontal with a velocity of 40 m/s. how far will the ball travel

Answers

The distance (i.e range) the ball will travel, given that it leaves the bat at an angle of 30 degrees is 141.4 m

How to determine the distance the ball will travel?

In projectile motion, the distance travelled by an object is known as the range and it can be obtained using the following formula:

R = u²Sine(2θ) / g

Where

R is the rangeu is the initial velocity θ is the angle of projectiong is acceleration due to gravity

With the above formula, we shall obtain the distance (i.e range) the ball will travel. Details below:

Angle of projection (θ) = 30 degreesInitial velocity (u) = 40 m/sAcceleration due to gravity (g) = 9.8 m/s²Distance (i.e range) (R) =?

R = u²Sine(2θ) / g

R = [40² × Sine (2×30)] / 9.8

R = 141.4 m

Thus, the distance travelled by the is 141.4 m

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a trough is filled with a liquid of density 825 kg/m3. the ends of the trough are equilateral triangles with sides 10 m long and vertex at the bottom. find the hydrostatic force on one end of the trough. (use 9.8 m/s2 for the acceleration due to gravity.)

Answers

The hydrostatic force on one end of the trough is approximately 3,021,104.82 Newtons.

The hydrostatic force on one end of the trough can be found using the formula F = P * A, where F is the force, P is the pressure, and A is the area.

To calculate the pressure, we need to determine the height of the liquid in the trough.

Since the trough has equilateral triangle ends with sides of 10m, we can find the height by using the formula h = (√3/2) * s, where h is the height and s is the side length of the equilateral triangle.

Substituting the given side length of 10m into the formula, we get h = (√3/2) * 10 = 8.66m.

Next, we can calculate the pressure using the formula P = ρ * g * h, where P is the pressure, ρ is the density of the liquid (825 kg/m^3), g is the acceleration due to gravity (9.8 m/s^2), and h is the height.

Substituting the given values into the formula, we get P = 825 * 9.8 * 8.66 = 69778.74 Pa.

Now, we can find the area of one end of the trough.

Since the end of the trough is an equilateral triangle, we can use the formula A = (√3/4) * s^2, where A is the area and s is the side length of the equilateral triangle.

Substituting the given side length of 10m into the formula, we get A = (√3/4) * 10^2 = 43.30 m^2.

Finally, we can calculate the hydrostatic force on one end of the trough by multiplying the pressure by the area: F = 69778.74 * 43.30 = 3021104.82 N.

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A sonar emits a sound signal of frequency 40000Hz, towards the bottom of the sea.
This signal is reflected on the body of a submarine after a delay of 0.3 seconds.
Given: Speed of sound in water is 1500 m/s.

Calculate the period of this wave.

Answers

Answer:

0.000025s

Explanation:

Period it’s. : T(s)= 1/f(Hz)=1/40000Hz=0.000025s

2.using what you know about electricity, hypothesize about how parallel resistors would affect current flow. what would you expect the effective resistance of two equal resistors in parallel to be, compared to the resistance of one alone?

Answers

The effective resistance of two equal resistors connected in series is twice that of a single resistor, reducing the amount of current flowing in the circuit.

The effective resistance of two resistors connected in series is the sum of their individual resistances. Given two resistors with resistance values R1 and R2, the effective resistance, Rx, is given by:

Rₓ = R₁ + R₂        

If the resistance values of these resistors are equal, say R, then equation 1 becomes:

Rₓ = R + R

Rₓ = 2R

That is, their effective resistance is twice as strong as their individual resistances. In other words, when two equal resistors are connected in series, their effective resistance is twice the resistance of each resistor.

Ohm's law states that voltage (V) is the product of current (I) and resistance (R) i.e.

V = IR

I = V/R

We can conclude that as resistance decreases, current increases and vice versa.

As a result, connecting the two equal resistors described above in series reduces the amount of current flowing compared to having just a single resistor.

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A ________ results when the outward-directed gas pressure (created by thermal nuclear energy) is balanced in a stable relationship with inward-directed gravitational force.

Answers

When the outward-directed gas pressure (created by thermal nuclear energy) is balanced in a stable relationship with inward-directed gravitational force results in main sequence star.

What is pressure ?

The pressure is the force exerted per unit area.

A main sequence star fuses hydrogen in its core and has balanced outward pressure from core nuclear fusion and gravitational forces will be pushing inward.

When the outward-directed gas pressure is balanced in a stable relationship with inward-directed gravitational force results in main sequence star.

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What is the strength of the electric field at the position indicated by the dot in the figure?
E = _____ N/C
What is the direction of the electric field at the position indicated by the dot in the figure? Specify the direction as an angle above the horizontal line.
θ = ____ ⁰

Answers

The electric field has an angle of 0 degrees and a magnitude of 2546.35 N/C.

What is electric field?

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field. Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. E = F/Q is the formula for the electric field. Volts per meter is the SI unit for the electric field. The Newton's per coulomb unit is the same as this one. Newton is a unit of force and Coulomb is a unit of energy in these derived units.

Here,

E=kq/r^2

r= 5 x r^2 = 7.07 cm or .0707 m

E=(9 x 10^9)(1 x 10^-9)/(.0707)^2

= 1800.5 N/C

Now to find the x component,

cos 45 = x/1800.5

x= 1273.18 N/C

Now just multiply by 2 to accommodate both charges,

E=2546.35 N/C in direction of 0 degrees

The electric field has a magnitude of 2546.35 N/C and an angle of 0 degrees.

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What are the eight planets of the solar system

Answers

Answer:

Mercury

Venus

Earth

Mars

Jupiter

Saturn

Uranus

Neptune

Answer:

Solar system planets: Order of the 8 planets:-

Mercury.Venus.Earth.Mars.Jupiter.Saturn.Uranus.Neptune.

For 0 ≤ t ≤ 8 , a particle moving in the xy-plane has position vector 〈x(t),y(t)〉=〈sin(2t),t^2−t〉 , where x(t) and y(t) are measured in meters and t is measured in seconds. At time t = 8 seconds, the particle begins moving in a straight line. For t ≥ 8 , the particle travels with the same velocity vector that it had at time t = 8 seconds. Find the position of the particle at time t = 10 seconds

Answers

The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters after all velocity and acceleration calculations.

There is a particle moving in the xy-plane, whose position can be represented as 〈x(t),y(t)〉=〈sin(2t),t^2−t〉 for 0 ≤ t ≤ 8 seconds. We can find its velocity and acceleration vectors using this position vector.

At t = 8 seconds, the particle starts moving in a straight line with the same velocity vector as it had at that time. Therefore, for t ≥ 8 seconds, we can find the position vector of the particle.

To find the position of the particle at t = 10 seconds, we need to substitute t = 10 in the equation of position vector for t ≥ 8 seconds. The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters.

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