A freight train car has a mass of 2,000 kilograms and an acceleration of 1.8 m/s/s. ​What is the average force behind that train car?

Answers

Answer 1

Answer:

F = 3600 [N]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of force must be equal to the product of mass by acceleration.

ΣF = m*a

where:

F = force [N]

m = mass = 2000 [kg]

a = acceleration = 1.8 [m/s^2]

Now replacing:

F = 2000*1.8

F = 3600 [N]


Related Questions

1)Draw a celestial sphere and label the horizon, the cardinal points, the celestial and anti meridians, the zenith and the nadir.

Answers

A celestial sphere is a tool that allows us to study in detail the characteristics of the planet and its reference points.

What is a celestial sphere?

The celestial sphere is an astronomical tool that allows individuals to study the planet Earth and other planets. This tool is an ideal sphere that is used as a model of the Earth. Additionally, it represents the locations of celestial objects, meridians, parallels, geographical locations, among others.

What are meridians and parallels?

The meridians and parallels are imaginary lines that are located on the earth to be located geographically on the surface. These also distribute the terrestrial locations in four quadrants (cardinal points).

NorthwestNortheastSouthwestSoutheast

What is the Zenith and Nadir?

The zenith is a term that refers to the highest point in the sky relative to the observer and it is just above the observer's head (90°).

The nadir is a term that refers to the intersection between the observer's vertical and the celestial sphere. That is to say: if you imagine a line that passes through the center of the Earth and through our location on its surface, the nadir is on that line, below our feet.

Below is an image in which the zenith, nadir, cardinal points, meridians and parallels are referenced.

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1)Draw a celestial sphere and label the horizon, the cardinal points, the celestial and anti meridians,

Which material would best resist electricity?

Answers

The flow of electricity is referred to as current. Metals are generally excellent conductors, allowing current to flow freely. Insulators are materials that do not allow current to flow easily. Insulators include most nonmetal materials such as plastic, wood, and rubber.

What material can stop electricity?

Electrical insulators are materials that do not allow electricity to pass through them. Plastic, rubber, wood, and glass are examples of these materials. Air also acts as an insulator. To keep electrical objects safe, most are constructed with insulators.

Electrical insulators include plastic, wood, glass, and rubber. That is why they are used to covering electrically conductive materials. The plastic that surrounds wires acts as an electrical insulator.

Thus, Insulators include most nonmetal materials such as plastic, wood, and rubber.

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What was Gan De's contribution to astronomy?
A.
He developed the world's first star catalogue.
B.
He was the first to record a lunar eclipse.
C.
He was the first to observe planets.
D.
He invented the telescope.

Answers

Answer:  A. He developed the world's first star catalogue.

Explanation: Gan De's contribution to astronomy was the development of the world's first star catalogue , along with his colleague Shi Shen. He also made observations of the planets, particularly Jupiter, and may have been the first to describe one of Jupiter's moons. Unfortunately, all of Gan De's writings have been lost, but fragments of his works' titles and quoted fragments are known from later texts.

Two charges Q1
( + 2.00 µC) and Q2
( + 2.00 µC)
are placed symmetrically along the x-axis at
x = ± 3.00 cm . Consider a charge Q3
of charge
+4.00 µC and mass 10.0 mg moving along the y-axis.
If Q3
starts from rest at y = 2.00 cm, what is its speed
when it reaches y = 4.00 cm

Answers

The velocity of the object of charge Q₃ will be 8109.25 m/s.

What is kinetic energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

The velocity of the object  of charge Q₃ will be =

√{(2/ 10.0 × 10⁻⁸)(9 × 10⁹) × 4 × 10⁻⁶(2.0 × 10⁻⁶(1/0.01 - 1/0.02) - 2.0 × 10⁻⁶(1/0.05 - 1/0.06))}

= 8109.25 m/s.

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A 20" round duct is 275' in length. The duct is carrying 2,900 CFM at a friction loss of 0.12 inches WG per 100 feet.

What is the total friction loss through the duct?

Answers

50500000 FACTION : uo/80

Use the approximation that vavg = pf/m for each time step.

A paddle ball toy consists of a flat wooden paddle and a small rubber ball that are attached to each other by an elastic band (figure). You have a paddle ball toy for which the mass of the ball is 0.011 kg, the stiffness of the elastic band is 0.925 N/m, and the relaxed length of the elastic band is 0.255 m. You are holding the paddle so the ball hangs suspended under it, when your cat comes along and bats the ball around, setting it in motion. At a particular instant the momentum of the ball is <−0.02, −0.01, −0.02> kg · m/s, and the moving ball is at location <−0.2, −0.61, 0> m relative to an origin located at the point where the elastic band is attached to the paddle. Define this instant as t = 0.

(a) Determine the position of the ball 0.1 s later, using a Δt of 0.1 s. (Express your answer in vector form.)

(b) Starting with the same initial position <−0.2, −0.61, 0> m and momentum <−0.02, −0.01, −0.02> kg · m/s, determine the position of the ball 0.05 s later. (Express your answer in vector form.)

(c) Using the position and momentum at t= 0.05 s, determine the position of the ball at t= 0.1 s. (Express your answer in vector form.)

Thank you.

Answers

Answer:(a) For the first time step, using Δt = 0.1s:

pf = m * vavg

vavg = pf/m

vavg = (<−0.02, −0.01, −0.02> kg · m/s) / 0.011 kg

To find the position at t = 0.1 s, we need to find the average velocity over the time interval, and multiply it by the time interval:

position = initial position + vavg * Δt

position = <−0.2, −0.61, 0> m + vavg * 0.1 s

(b) To find the position at t = 0.05s, repeat the same steps as in (a) but with Δt = 0.05s.

(c) To find the position at t = 0.1s, starting from the position and momentum at t=0.05s, repeat the same steps as in (a) and (b) with the new initial position and momentum value

Explanation:

URGENT!!! sorry this is my first time using brainly! but here is my question: Two ropes are attached to a wagon, one horizontal to the west with a tension force of 30 N, and the other east and at an angle of 30° northward and a tension force of 40 N. Find the components of the net force on the cart. Show all your work. Thank you in advance!

Answers

The components of the net force on the cart is determined as 67.66 N.

Component of net force on the cart

The component of net force on the cart is determined by resolving the forces into x and y -components.

T1 = 30 N

T2 = 40 N

T1x = -30cos(0) = 30 N

T1y = 30sin(0) = 0

T2x = 40 x cos(30) = 34.64 N

T2y = 40 x sin(3) = 20 N

∑X = 30 N + 34.64 N = 64.64 N

∑Y = 0 + 20 N = 20 N

Resultant force

R = √(64.64² + 20²)

R = 67.66 N

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a compound having 44 total atoms consists of 11 atoms of element x and 33 atoms of element y find the % element x in the compound

A. 11%
B. 33%
C. 25%
D. 44%
E. 22%

Answers

The % element x in the compound is option c.25%.

To find the percentage of element X in the compound, we need to calculate the ratio of the number of atoms of element X to the total number of atoms in the compound and then convert it to a percentage.

Given:

Total number of atoms = 44

Number of atoms of element X = 11

To calculate the percentage, we can use the following formula:

Percentage of element X = (Number of atoms of element X / Total number of atoms) * 100

Substituting the given values, we get:

Percentage of element X = (11 / 44) * 100

Simplifying the equation, we have:

Percentage of element X = 0.25 * 100

Percentage of element X = 25%

Therefore, the percentage of element X in the compound is 25%.

The correct answer is option C. 25%.

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QUESTION 8 (Start on a new page.) P is a point 0,5 m fro. n charged sphere A. The electric field at P is 3 x 107 N-C-1 directed towards A. Refer to the diagram below. wes 8.1 0,5 m 8.3 Draw the electric field pattern due to charged sphere A Indicate the sign of the charge on the sphere in your diagram. 8.2 Calculate the magn itude of the charge on sphere A. Another charged sphere, E, having an excess of 105 electrons, is now place at point P. Calculate the electrost atic force experienced by sphere B.​

Answers

1. The electric field pattern due to charged sphere A can be represented by lines radiating outward from the sphere.

2. The magnitude of the charge on sphere A is approximately 0.0833 Coulombs.

3. The electrostatic force experienced by sphere B when placed at point P is approximately 2.675 x 10^-4 Newtons.

1. These lines should be evenly spaced and symmetric around the sphere, indicating a radial field pattern. Since the electric field at point P is directed towards sphere A, the field lines should point inward towards the sphere. Thus, the electric field pattern would resemble a series of concentric circles with lines converging towards the center of sphere A.

2. To calculate the magnitude of the charge on sphere A, we can use the formula for the electric field strength (E) due to a point charge:

E = k * (Q / r^2)

where k is the electrostatic constant (approximately 9 x 10^9 N m^2/C^2), Q is the charge on the sphere, and r is the distance from the sphere to the point P.

From the given information, we have E = 3 x 10^7 N/C and r = 0.5 m. Plugging these values into the formula and solving for Q:

3 x 10^7 N/C = (9 x 10^9 N m^2/C^2) * (Q / (0.5 m)^2)

Simplifying the equation, we find:

Q = (3 x 10^7 N/C) * (0.5 m)^2 / (9 x 10^9 N m^2/C^2)

Q ≈ 0.0833 C (Coulombs)

Therefore, the magnitude of the charge on sphere A is approximately 0.0833 Coulombs.

3. When sphere E, which has an excess of 105 electrons, is placed at point P, it will experience an electrostatic force due to the interaction with sphere A. The electrostatic force between two charges can be calculated using Coulomb's law:

F = k * (|q1| * |q2|) / r^2

where k is the electrostatic constant, q1 and q2 are the charges on the spheres, and r is the distance between them.

Since each electron carries a charge of approximately -1.6 x 10^-19 C, the excess charge on sphere E is:

q2 = 105 electrons * (-1.6 x 10^-19 C/electron)

Plugging in the values and the given distance of 0.5 m, we have:

F = (9 x 10^9 N m^2/C^2) * (|0.0833 C| * |-1.6 x 10^-19 C|) / (0.5 m)^2

Simplifying the equation, we find:

F ≈ 2.675 x 10^-4 N (Newtons)

Therefore, the electrostatic force experienced by sphere E when placed at point P is approximately 2.675 x 10^-4 Newtons.

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state the laws of reflection​

Answers

Answer:

Explanation:

The law of reflection says that the reflected angle (measured from a vertical line to the surface  called the normal) is equal to the reflected angle measured from the same normal line.

All other properties of reflection flow from this one statement.

A candle is sitting in front of a concave mirror at a distance of 18.0 cm. It is found that an image of the ca
25.0 cm. What is the focal length of the mirror?
03.52 cm
07.50 cm
O 10.4 cm
022.1 cm

Answers

Answer:

The focal length of the mirror is 10.4 cm.

Explanation:

The object distance ( d₀ )  ( distance of the candle from the mirror) is -18 cm.The Image distance ( dᵢ  ) ( distance of the image from the mirror) is -25.0 cm.The mirror equation is  1/f = 1/d₀ + 1/dᵢ.

So substitute the values of object distance and image distance in the mirror equation,

1/f = 1/(-18cm) + 1/(-25.0cm)

1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)

1/f = ( -25cm - 18cm)/(18cm x 25cm)

1/f = -43.0/450.0

f = -10.4651 cm.

The focal length of the mirror is approximately -10.4 cm.

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What is the weight of a 356 kg crate
W=mg

Answers

Explanation:

use the formula and substitute the value

What is the weight of a 356 kg crate W=mg

An electric device uses 650 watts of power. If the voltage is 120 volts, what is the resistance?

Answers

The resistance of the electric device using a power of 650 watts is approximately 27.7 ohms.

How determine resistance from power and votage?

Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.

Hence

V = IR

R = V/I

Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.

We need to first find the electric current I.

Note:

Power = Voltage × Current.

Hence:

Current I = Power/Votage

Plug in the values

I = 650 / 120

I = 13/3 A

Substituting the values of voltage and current intio the above formula, we can calculate the resistance:

R = V/I

R = 120 / (13/3)

R = 27.7 ohms

Therefore, the resistance is approximately 27.7 ohms.

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A satellite with a mass of 120kg fires its rocket thrusters, which give an impulse of 7440kg•m/s . What was the total change in the velocity of the satellite- that is, what was the total v

Answers

We can use the impulse-momentum equation to find the total change in velocity of the satellite:

Impulse = Change in momentum

Impulse = force x time = mass x change in velocity

Change in velocity = Impulse / mass

In this case, the impulse is 7440 kg*m/s, and the mass of the satellite is 120 kg.

Therefore, the total change in velocity of the satellite is:

Change in velocity = Impulse / mass = 7440 kg*m/s / 120 kg = 62 m/s

So the total change in the velocity of the satellite is 62 m/s.

A box weighs 300N. A force of 20N slide it across a floor at a constant speed. What is the mass of the box? What is the acceleration of the box?

Answers

Answer:

Mass = 30kg

Acceleration = 0m/s/s

Explanation:

The weight of an object is its mass multiplied by the gravitational field strength. On Earth the value often used for gravity is 10N/kg. This means there is 10N of force per kg of mass, so the weight of an object will be 10x its mass. Here we are given a weight of 300N, so to find its mass we simply need to divide it by 10. 300/10 = 30kg. The mass of the box is 30kg.

Because the box is being slid across the floor at a constant speed, the velocity is not changing, therefore the acceleration is 0.

Hope this helped!

Answer:

Mass = 30 kg

Acceleration = 0 m / s²

Explanation:

Gravity = 10 N / kg

Thus the mass = 30 kg

We know that the box slide in a constant speed

Thus it doesn't have any acceleration.

Hopefully this answer helps you :)

In order to have good physical fitness, you __________. A. should be able to complete daily tasks without being physically taxed B. must be able to run a 4-minute mile C. need to work out at the gym four times a week D. don't need to worry about eating healthy foods

Answers

Answer:

A) should be able to complete daily tasks without being physically taxed

Explanation:

B) you dont need to run that fast to have good physical fitness

C) you dont need to workout four times a week

D) you should always eat healthy as diet contributes to health

In order to have good physical fitness, you should be able to complete daily tasks without being physically taxed.

What is physical fitness?

Physical fitness is the ability to be fit to do work without getting tired easily.

Exercise and workouts are necessary to build and improve physical fitness.

Exercises required include jogging and running.

Therefore, in order to have good physical fitness, you should be able to complete daily tasks without being physically taxed.

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Which statements describe scientific laws but not theories or hypotheses? Check all that apply.
They are likely to change as new evidence is discovered.
They do not provide explanations for why they are true.
They are considered to be proven facts.
They have not yet been tested.
They are the bases for experiments instead of the results.

Answers

Answer:

B. They do not provide explanations for why they are true.

C. They are considered to be proven facts.

Explanation:

edge 2021

The statements describe scientific laws but not theories or hypotheses are they do not provide explanations for why they are true and they are considered to be proven facts.

What are scientific laws?

The law given by the experimenters or scientists after years of observations and experiments based on the scientific reasons are called scientific laws.

The laws are not the proven facts. They even don't explain why the scientific laws are true.

Thus, the correct option is B and C.

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A person can jump a horizontal distance of 1.31 m on the Earth. The acceleration of gravity is 12.3 m/s^2.

a) How far could he jump on the Moon, where the free-fall acceleration is 0.258g Answer in units of m.

b) Repeat for Mars, where the acceleration due to gravity is 0.293g. Answer in units of m.

Answers

Answer:

a) On the Moon, where the acceleration due to gravity is 0.258g:

First, we need to find the acceleration due to gravity on the Moon:

g_Moon = 0.258g_Earth

g_Moon = 0.258(12.3 m/s^2)

g_Moon = 3.17 m/s^2

Now we can use the range formula for projectile motion to find the distance he could jump:

R = (v^2/g) sin(2θ)

Assuming the same initial velocity and angle of jump, we can rearrange the formula to solve for R:

R = (v^2/g) sin(^2/g_Earth) sin(2θ) * (g_Moon/g_Earth)

R = (1.31 m)^2/ (212.3 m/s^2) * sin(2θ) * (3.17 m/s^2) / (12.3 m/s^2)

R = 0.191 m

Therefore, he could jump approximately 0.191 m on the Moon.

!

a) On the Moon, where the acceleration due to gravity is 0.258g:

First, we need to find the acceleration due to gravity on the Moon:

g_Moon = 0.258g_Earth

g_Moon = 0.258(12.3 m/s^2)

g_Moon = 3.17 m/s^2

Now we can use the range formula for projectile motion to find the distance he could jump:

R = (v^2/g) sin(2θ)

Assuming the same initial velocity and angle of jump, we can rearrange the formula to solve for R:

R = (v^2/g) sin(

network error

^2/g_Earth) sin(2θ) * (g_Moon/g_Earth)

R = (1.31 m)^2/ (212.3 m/s^2) * sin(2θ) * (3.17 m/s^2) / (12.3 m/s^2)

R = 0.191 m

Therefore, he could jump approximately 0.191 m on the Moon.

b) On Mars, where the acceleration due to gravity is 0.293g:

Similarly, we need to find the acceleration due to gravity on Mars:

g_Mars = 0.293g_Earth

g_Mars = 0.293(12.3 m/s^2)

g_Mars = 3.61 m/s^2

Using the same formula and rearrangement as in part a, we can find the distance he could jump on Mars:

R = (1.31 m)^2/ (212.3 m/s^2) * sin(2θ) * (3.61 m/s^2) / (12.3 m/s^2)

R = 0.223 m

Therefore, he could jump approximately 0.223 m on Mars.

Water droplets forming on the outside of a cold glass of water on a hot, summer day is a example of which part of the water cycle?

Answers

Answer:

Condensation can also produce water droplets on the outside of soda cans or glasses of cold water. When warm air hits the cold surface, it reaches its dew point and condenses. This leaves droplets of water on the glass or can.

Explanation:

A capacitor is formed from two square plates of edge length a and separation d, with d <

Answers

Answer:

A capacitor is formed from two square plates of edge length a and separation d, with d <

Explanation:

A capacitor is formed from two square plates of edge length a and separation d, with d <

The girl climbs the ladder with the painting in 5 seconds. How much work does
she perform? How much power does she use? *

Answers

There is missing data such the mass and the height.
But anyway.
Work = Force x distance
Power = work / time

Wes stands on the roof of a building, leans over the edge, and drops a rock. Lindsay its 1.35 s after Wes releases his
rock and throws her own rock straight down at 27.0 m/s. Both rocks hit the ground simultaneously.
1) Calculate the common height from which the rocks were released. Ignore the effects of air resistance. (Express your
answer to three significant figures.)

Answers

19.56m is the common height from which the rocks were released.

Formula used for calculating the height(s) is

s = ut + 1/2gt²

where

s = Common height from which the rocks were released

u = Initial velocity

g = acceleration

t = time period taken

For Wes

Initial velocity(u) = 0

So, s = 1/2gt² .... (1)

For Lindsay

Initial velocity = 27m/s

Time (t) = t - 1.35

So, s = 27(t - 1.35) + 1/2g(t - 1.35)² ..... (2)

From equation (1) and (2)

1/2gt² = 27(t-1.35) + 1/2g(t - 1.35)²

On solving we get

t = 1.998 seconds

Now By putting the calculated value of (t) in equation (1)

s = 1/2 × 9.8 × (1.998)²

s = 19.56 m

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What are two ways that an object can have kinetic energy?

Answers

Answer:

The object has to have mass and speed

Explanation:

You can increase both speed and mass to increase the kinetic energy, hope this answers your question.

Happy Halloween!

A single-story retail store wishes to supply all its lighting requirement with batteries charged by photovoltaic cells. The PV cells will be mounted on the horizontal rooftop. The time-averaged lighting requirement is 10 W/m2 , the annual average solar irradiance is 150 W/m2 , the PV efficiency is 10%, and the battery charging/discharging efficiency is 80%. What percentage of the roof area will the PV cells occupy

Answers

Answer:

83.33% of the roof area will be occupied by the PV cells

Explanation:

Given the data in the question;

time-averaged lighting requirement \(P_{lighting\) = 10 W/m²

the annual average solar irradiance \(q_{solar\) = 150 W/m²

the PV efficiency η\(_{pv\) = 10% = 0.1

battery charging/discharging efficiency η\(_{battery\) = 80% = 0.8

we know that; Annual average power to the light = \(P_{lighting\) × A\(_{roof\)

Now, the electrical power delivered by the solar cell battery system will be;

⇒  \(q_{solar\) × A\(_{pv\) × η\(_{pv\) × η\(_{battery\)

\(P_{lighting\)A\(_{roof\) = \(q_{solar\) × A\(_{pv\) × η\(_{pv\) × η\(_{battery\)

Such that;

A\(_{pv\) = \(P_{lighting\)A\(_{roof\) / \(q_{solar\) × A\(_{pv\) × η\(_{pv\) × η\(_{battery\)

A\(_{pv\) / A\(_{roof\) = \(P_{lighting\) /  \(q_{solar\) × η\(_{pv\) × η\(_{battery\)

so we substitute

A\(_{pv\) / A\(_{roof\) = 10 W/m² / [ 150 W/m² × 0.1 × 0.8 ]

A\(_{pv\) / A\(_{roof\) = 10 W/m² / 12 W/m²

A\(_{pv\) / A\(_{roof\) = 0.8333

A\(_{pv\) / A\(_{roof\) = (0.8333 × 100)%

A\(_{pv\) / A\(_{roof\) = 83.33%

Therefore, 83.33% of the roof area will be occupied by the PV cells.

you made $100,000 this year. you have $0 in adjustments, $11,500 in deductions and $7,300 in exemptions. What is your taxable increase?

Answers

The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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An asteroid is travelling through the solar system at a constant velocity. Which of the following
choices correctly models the forces acting on the asteroid?

Answers

Answer:

The forces acting on an asteroid include gravity from the Sun and other celestial bodies, radiation pressure from the Sun, and the pressure from interplanetary gas and dust. The gravitational forces will act to pull the asteroid towards the Sun, while the radiation pressure and interplanetary gas and dust will act to push it away. The net force acting on the asteroid will determine its path and velocity through the solar system.

Explanation:

Do this question by electric flux
A conducting sphere of radius 10cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is \(1.5*10^{3}\) N/C and points radially inwards what is the net charge on the sphere.

Answers

Answer:

To find the net charge on the sphere using electric flux, we can use the formula:  

Φ = Q/ε0

Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.  

Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:

E = kQ/r^2  

Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.  

Substituting the given values, we get:  

20 = (1/4πε0)(Q)/(0.2)^2  

Solving for Q, we get:  

Q = (20)(0.2)^2(4πε0)  

Q = 0.64πε0 C  

Now, substituting this value of Q in the formula for electric flux, we get:  Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C  

Therefore, the net charge on the sphere is 0.64π C.

2. A mechanic has two spanners, one 15 cm long and the second 20 cm long. He applies a force of 30 N with the first spanner, and 20 N with the second. The forces are perpendicular to the spanner. a) With which spanner does he produce the greatest torque?​

Answers

For the second spanner, the torque is: Torque = 20 N x 10 cm = 200 N.cm Therefore, the first spanner produces the greatest torque.

How is spanner tension determined?

The torque applied to the fastener rises as the lever arm extends when a torque wrench with an extension (such as a crow foot or a dog bone) is used. The calculator will determine what setting you need to make on the wrench to attain the necessary fastener torque. M1 = M2 x L1 / L2 has been used as the solution.

We must apply the algorithm to determine the torque generated by each spanner:

Force x perpendicular separation from the centre point equals torque.

Assuming that each spanner's pivot point is in its center, the perpendicular distance from the pivot to the spot at which the force is applied is equal to half of the spanner's length.

For the first spanner, the torque is:

Torque = 30 N x 7.5 cm = 225 N.cm

For the second spanner, the torque is:

Torque = 20 N x 10 cm = 200 N.cm

Therefore, the first spanner produces the greatest torque.

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An environmentally conscious physics student 250 N
mows her lawn with a push mower, exerting
a force of 250 N along the handle as shown. 40°
How much force is actually being used to push
the mower along the grou

Answers

The force actually being used to push the mower along the ground is 191 N.

When the physics student exerts a force of 250 N along the handle of the push mower, it's important to consider the components of this force that contribute to the actual force used to push the mower along the ground.

To determine the force used to push the mower along the ground, we need to find the horizontal component of the applied force. The angle of 40° indicates that the applied force can be broken down into two components: the horizontal component and the vertical component. The vertical component of the force is perpendicular to the direction of motion and does not contribute to pushing the mower forward.

To find the horizontal component, we can use trigonometry. The horizontal component is given by the formula:

Horizontal component = Applied force * cos(angle)

Plugging in the values, we get:

Horizontal component = 250 N * cos(40°)

Calculating this value, we find that the horizontal component of the applied force is approximately 191 N.

Therefore, the force actually being used to push the mower along the ground is 191 N. This is the component of the applied force that contributes to the forward motion of the mower, while the remaining vertical component is directed perpendicular to the ground and does not assist in pushing the mower forward.

By exerting a force of 250 N along the handle at a 40° angle, the student effectively applies 191 N of force to push the mower along the ground, ensuring efficient use of their effort while considering the environmental impact.

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Jane (m=50kg) wants to save Tarzan (m= 80kg) who is standing in the middle of a ring of fire of 5.0 m diameter. Jane has a vine (conveniently attached to a branch right above Tarzan, at a height of 33 m above the ground. Jane holds onto the vine and climbs a tree, growing 16 m away from Tarzan, until she reaches a height of 5.3 m above the ground. She swings down and grabs Tarzan around his waist (1.0m above ground). If they let go of the vine when they reach their highest point, where will they land, relative to Tarzan's original position?

Answers

The height that will illustrate the distance will be d = 6.36m

How to calculate the height?

Based on the information given, the length of the vine will be:

L = ✓(16² + 27.7)²

L = 32m

The velocity of Jane when she reaches position B will be:

V = ✓2gh

V = ✓(2 × 9.8 × 4.3)

V = 9.18m/s

We will apply the conversation of momentum. This will be:

50 × 9.18 = (50 + 80)V1

V1 = 3.53m/s

Therefore, the height that will illustrate the distance will be:

31.36² + d² = 32²

d² = 32² - 31.36²

d = 6.36m

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