I’m not sure how to even begin this problem. I know it’s an equilibrium problem

Im Not Sure How To Even Begin This Problem. I Know Its An Equilibrium Problem

Answers

Answer 1

m= 27 kg

angle = 40°

mg = 27 x 9.8 = 264.6 N

Fty . x1 - mg (x1/2 ) = 0

Fty =


Related Questions

A cube has a drag coefficient of 0.8. What would be the terminal velocity of a sugar cube 1 cm on a side in air ( = 1.2 kg/mº)? Take thedensity of sugar to be 2.0 x 103 kg/m3. im/s

Answers

0.495 m/s

Explanation

the formula for the terminal velocity is given by:

[tex]\begin{gathered} v=\sqrt[]{\frac{2mg}{\sigma AC}} \\ \text{where} \\ \end{gathered}[/tex]

m is the mass

g is 9.81 m/s²

ρ is density

A is area

C is the drag coefficient

then

Step 1

Let's find the mass

[tex]\begin{gathered} \sigma=\frac{m}{v} \\ m=\sigma\cdot v \\ \text{mass}=(2\cdot10^3\frac{\operatorname{kg}}{m^3})\cdot(0.01m)^3 \\ \text{mass}=(2\cdot10^3\frac{\operatorname{kg}}{m^3})\cdot(1\cdot10^{-6}) \\ \text{mass}=2\cdot10^{-3}\operatorname{kg} \\ \text{mass}=0.002\text{ kg } \\ \text{Area}=(0.01\text{ m}\cdot0.01m)=0.0001m^2 \end{gathered}[/tex]

now, replace

[tex]\begin{gathered} v=\sqrt[]{\frac{2mg}{\sigma AC}} \\ v=\sqrt[]{\frac{2(0.002kg)(9.81\text{ }\frac{m}{s^2})}{(2\cdot10^3\frac{\operatorname{kg}}{m^3})(0.0001m^2)0.8}} \\ v=\sqrt[]{\frac{0.03924\frac{\operatorname{kg}m}{s^2}}{0.16\frac{\operatorname{kg}}{m^{}}}} \\ v=\sqrt[]{0.2452\frac{m^2}{s^2}} \\ v=0.495\text{ m/s} \end{gathered}[/tex]

hence, the answer is 0.495 m/s

The electromagnetic force that acts on the protons in the nucleus of an atom is _____ the strong nuclear force that acts on the same nucleus.Question 10 options:stronger thanweaker thanthe same asapproximately half

Answers

ANSWER

Weaker than

EXPLANATION

There are four fundamental forces that occur in nature (in atoms):

=> Strong force

=> Electromagnetic force

=> Gravitational force

=> Weak force

Of all these forces, the strong force is the strongest.

This means that the electromagnetic force that acts on the protons in the nucleus of an atom is weaker than the strong nuclear force that acts on the same nucleus.

The answer is 'weaker than".

Which of the following is a pair of vector quantities?1) Speed — Distance2) Velocity — Distance3) Velocity — Displacement4) Speed — Displacement

Answers

Remember that vector quantities include a magnitude and direction, while scalar quantities include only a magnitude.

Speed is a scalar quantity.

Distance is a scalar quantity.

Velocity is a vector quantity.

Displacement is a vector quantity.

Then, from the options, the one which is a pair of vector quantities, is:

3) Veocity - Displacement

What is the total mechanical energy of a 3 kg object traveling at 7 m/s if its potential energy is 42 J?

Answers

The mechanical energy of the a 3kg object at 7m/s and having a potential energy of 42J is 115.5 J.

What is the mechanical energy of the object?

Mechanical energy is simply energy accumulated due to performing some particular work. It is the sum of the potential energy and kinetic energy of an object. It is expressed as;

Mechanical energy = Potential energy + Kinetic energy

Given the data in the question;

Mass of the object m = 3kgVelocity of the object v = 7m/sPotential energy of the object = 42J

First, we determine the kinetic energy of the object.

Kinetic energy = 1/2 × mass × ( velocity )²

Plug in the given values

Kinetic energy = 1/2 × 3kg × ( 7m/s)²

Kinetic energy = 1/2 × 3kg × 49m²/s²

Kinetic energy = 73.5kgm²/s²

Kinetic energy = 73.5J

Now, the mechanical energy of the object will be;

Mechanical energy = Potential energy + Kinetic energy

Plug in the values

Mechanical energy = 42J + 73.5J

Mechanical energy = 115.5 J

Therefore, the mechanical energy is 115.5 Joules.

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Answer:

The answer is 115.5 guyssss

Explanation:

True or False ?7. When two spheres with equal masses collide centrally and elastically, the spheres exchange their kinetic energies. 8. In each impact, the momentum of the colliding body system is marginally the same before and immediately after the impact, but varies during the impact. 

Answers

(7)

When two spheres with equal masses collide centrally and elastically, the spheres exchange their kinetic energies. This statement is a false statement.

Two straight wires located one-fifth of a meter from each other carry current in different directions. Current I1 = 13 A is into the page and I2 = 18 A is out of the page. Determine the magnitude and direction of the magnetic field for each of the wire and determine the magnitude of the magnetic field between the two wires.

Answers

The given situation can be illustrated as follow:

The red circles repersent the magnetic field produced by the currents on the wire.

As you can notice, between the wires the direction of the magnetic field is the same.

Consider that the magnetic field produced by a current I in a wire, at a distance r, is given by the following formula:

[tex]B=\frac{\mu_0I}{2\pi r}[/tex]

where,

r: distance at the center betwen the wires = 0.20m/2 = 0.10m

μ0: permeability of free space = 4π*10^-7 Tm/A

Then, the total magnetic field between the wire is the sum of the magnetic fields generated by each wire:

[tex]B=\frac{\mu_0}{2\pi(0.10m)^2}(I_1+I_2)=\frac{4\pi\cdot10^{-7}Tm\text{ /A}}{2\pi(0.10m)^2}(13A+18A)=6.2\cdot10^{-4}T[/tex]

You drop a rock down a well that is 11.5m deep. How long does it take the rock to hit the bottom of the well?
a. 2.3 s
b. 2.8 s
c. 1.5 s
d. 3.1 s

Answers

A 2.3 s have a good day

Water flows with a velocity of 1.50 m/s through a tube with an internal diameter of 1.10 cm. As it exits the tube, the fluid velocity through the nozzle increases to 10 m/s. What is the inside diameter of the nozzle? You can treat the tube as a long cylinder so that the cross-sectional area both in the interior of the tube and the nozzle is the area of a circle.Group of answer choices

Answers

In order to calculate the inside diameter, we can use the following relation, since the volumetric flow is constant for any part of the tube:

[tex]\begin{gathered} Q_1=Q_2 \\ A_1V_1=A_2V_2 \end{gathered}[/tex]

Where A is the cross-section area and V is the velocity.

Using V1 = 1.5 m/s, A1 = π*1.1²/4 and V2 = 10 m/s, we have:

[tex]\begin{gathered} \frac{\pi\cdot1.1^2}{4}\cdot1.5=A_2\cdot10 \\ \frac{\pi\cdot1.1^2}{4}\cdot1.5=\frac{\pi\cdot d^2_2}{4}\cdot10 \\ 1.1^2\cdot1.5=d^2_2\cdot10 \\ 1.21\cdot1.5=d^2_2\cdot10 \\ 1.81=d^2_2\cdot10 \\ d^2_2=0.181 \\ d_2=0.42\text{ cm}=4.2\text{ mm} \end{gathered}[/tex]

Therefore the correct option is the first one.

Answer:

2.1 mm

Explanation:

I check it the 4.2mm answer is WRONG

Technically, how would you know if any work was done on an object? Work referring to the physics Term

Answers

ANSWER and EXPLANATION

We want to know how to tell if work is done on an object.

Work is a result of a force acting on an object that thereby causes a displacement of the object. It is defined mathematically as:

[tex]W=F\cdot d[/tex]

where F = force; d = displacement

Therefore, we say that work is done on an object when a force is applied to the object and it causes the object to move a certain distance.

What is the wavelength of a photon of EMR with a frequency of 3.24x10¹3 Hz?9.26x1020 m9.72x1021 m1.08x105 Hz9.26x10-6 m

Answers

The wavelength is given by:

[tex]\lambda=\frac{v}{f}[/tex]

where v is the velocity and f is the frequency. In this case the velocity is that of light since this is an electromagnetic radiation and the frequency is given, then we have:

[tex]\begin{gathered} \lambda=\frac{3\times10^8\text{ m/s}}{3.24\times10^{13}\text{ Hz}} \\ \lambda=9.26\times10^{-6}\text{ m} \end{gathered}[/tex]

Therefore, the wavelength is:

[tex]\lambda=9.26\times10^{-6}\text{m}[/tex]

Can you please help me with #6 (the 6 was wrong in the question it meant #5 as you can see I tried to change it)

Answers

[tex]\begin{gathered} \text{Question 5)} \\ Q=52,000J \\ m=2kg \\ C=130\text{ J/Kg K} \\ \Delta T=\text{?} \\ Q=Cm\Delta T \\ \text{Solving }\Delta T \\ \Delta T=\frac{Q}{Cm} \\ \Delta T=\frac{52,000J}{(130\text{ J/Kg K)(}2kg\text{)}} \\ \Delta T=200K,\text{ but Kelving and }degree\text{ Celsius have the same change} \\ \text{Hence} \\ \Delta T=200\text{ \degree{}C} \\ \\ \text{Question 6} \\ T1=350\text{ K} \\ \Delta T=200\text{ K} \\ T2=\text{?} \\ \Delta T=T2-T1 \\ \text{Sol}v\text{ing T2} \\ T2=\Delta T+T1 \\ T2=200\text{ K}+350\text{ K} \\ T2=550\text{ K} \\ \text{The final temperature is }550\text{ K} \end{gathered}[/tex]

Sound travels with an average speed of 340m/s. Lightning from a distant storm cloud is seen almost immediately. If the sound reaches our ear 2s later. how far is the storm​

Answers

Hello..!

To calculate its distance we apply the following data.

Data:

V = 340m/sT = 2sD = ?

Then, we apply the formula that is.

Formula:

D = V • T

Finally we develop the problem.

Developing:

D = (340m/s) • (2s)D = 680m

The storm is at a distance of 680 meters

Answer:

Formula

D = V • T

Resolve:

D = (340m/s) • (2s)D = 680m

Hope this helped

A beam of microwaves has a frequency of 3.0*10^ 11Hz. Radio waves have a frequency of 3.0*10^9 Hz. Calculate the wavelength of each. Which type of radiation has the longer wavelength?

Answers

We will have the following:

Assuming both are traveling in vacuum we will have the following:

Microwaves:

[tex]\lambda_m=\frac{3.00\cdot10^8}{3.0\cdot10^{11}}\Rightarrow\lambda_m=1\cdot10^{-3}m[/tex]

Radio:

[tex]\lambda_r=\frac{3.0\cdot10^8}{3.0\cdot10^9}\Rightarrow\lambda_r=1\cdot10^{-1}m[/tex]

So, radio waves have a longer wavelength.

An object has a kinetic energy of 12,000 J and a mass of 48.7 kg. Find the velocity of the object.I need help with this problem pls

Answers

Given:

The kinetic energy of the object is K = 12000 J.

The mass of the object is m = 48.7 kg

To find the velocity of the object.

Explanation:

The velocity of the object will be

[tex]\begin{gathered} K=\frac{1}{2}mv^2 \\ v=\sqrt{\frac{2K}{m}} \\ =\sqrt{\frac{2\times12000}{48.7}} \\ =22.199\text{ m/s} \end{gathered}[/tex]

Thus, the velocity of the object is 22.199 m/s.

Unit 5 Discussion 2 Graded Discussion Exit Discussion Topic Please post detailed answers to the following questions. Please use complete sentences. Sometimes, foodborne illness causes an outbreak that affects a large number of people. These cases tend to make news, either to report on the condition of victims or to warn the public of a possible danger. Research one recent outbreak connected to foodborne illness. Discuss what the cause of the outbreak was, whether it was caused by a pathogen or parasite, what signs the victims showed, and how the outbreak might have been prevented.

Answers

A recent food poisoning has caused an outbreak that is affecting many people. Reported in June 2007.

Explain a disease outbreak?

An outbreak can be explained as sudden increase in the number of cases of a disease. It may occur in one community or geographical area, or affect multiple countries. It may last for days to weeks sometime even years. Several outbreaks are expected each year. B. Influenza.

The recent ground beef recall was expanded to 5.7 million pounds after 14 E. coli O₁₅₇:H₇ were identified, according to the United States Department of Agriculture (USDA), which discusses E. coli outbreaks associated with ground beef.

Outbreak was the result of extensive contamination of ground beef.

E. coli infections vary, but the most common signs of infection are:

Severe stomach cramps.Vomiting.Diarrhea/Bloody stoolSlight fever

Symptoms of a severe E. coli infection may include:

Bloody urineReduced urine outputBruisingPale skinDehydration

There is no vaccine against E. coli infection and no drugs recommended for prevention. Taking antibiotics can affect your gut flora and increase your susceptibility to intestinal infections. However, there are some things you can do to reduce your risk.

How to prevent E. coli infection

Wash fruits and vegetables well Avoid cross-contamination by using clean utensils, pans and serving dishes. Keep raw meat away from other foods and clean surfaces. Do not defrost meat on the counter, but defrost it in the refrigerator or microwave.

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A race car traveling northward on a straight, level track at a constant speed travels 0.739 km in 18.0 s. The return trip over the same track is made in 23.0 s.What is the average velocity (in m/s) for the total trip?answer in : m/s

Answers

The average velocity of an object is given by:

[tex]\begin{gathered} v=\frac{\Delta x}{t} \\ \text{ where }\Delta x\text{ is the displacement and }t\text{ is the time } \end{gathered}[/tex]

In this case we know that the car travelled a track and the return on it; this means that the displacement of the car is zero and therefore, the average velocity is zero

The graph below shows the motion of an object. What is the velocity of the moving object between 8s and 18s

Answers

We have the next graph

As we can see in red we can see the velocity of the moving object between 8s and 18s , therefore the velocity is -5

ANSWER

Option A.

A spring is compressed between two carts, one with a mass of 5kg and the other with a 15 kg. Which will move away with higher velocity? Assume the momentum of the first cart is equal to the momentum of the second cart. V1and V2are the velocities of cart 1 and cart 2 respectively

Answers

Given,

The mass of the cart 1, m₁=5 kg

The mass of the cart 2, m₂=15 kg

The velocity of cart 1 is V₁

The velocity of cart 2 is V₂

The momentum of both carts is the same.

The momentum of an object is the product of the mass of the object and its velocity.

As the momentum of both carts is the same we have,

[tex]m_1V_1=m_2V_2[/tex]

On substituting the known values,

[tex]\begin{gathered} 5V_1=15V_2 \\ \Rightarrow V_1=3V_2 \end{gathered}[/tex]

Thus the velocity of cart 1 is three times the velocity of cart 2.

Therefore, cart 1 will move away with a higher velocity.

Determine Force. 589J of work was accomplished over a distance of 1100m, how much force was exerted? Include the correct units.


Answers

Answer:

Explanation:

Given:

A = 589 J

D = 1 100 m

____________

F - ?

A = F·D

F = A / D = 589 / 1100 ≈ 0.54 N

A particular heating element draws 18.014 A of current and heats 176.251 g of water from 20oC to 87.714oC in 7.167 minutes. What is the resistance of the heating element ? Specific heat of water is 4.186 J/g deg C.

Answers

Given:

The current drawn by the heating element is: I = 18.014 A.

Mass of the water is: m = 176.251 g.

The temperature difference of water is: T = 87.714 deg C - 20 deg C = 67.714 deg C.

Time for which the change in temperature occurs: t = 7.167 minutes

The specific heat of water is: c = 4.186 J/g degC.

To find:

The resistance of the heating element.

Explanation:

The expression for the heat is given as:

[tex]Q=mcT[/tex]

Substitute the values in the above equation, we get:

[tex]\begin{gathered} Q=176.251\text{ g}\times4.186\text{ J/g deg C}\times67.714\text{ deg C} \\ \\ Q=49958.4876\text{ J} \end{gathered}[/tex]

Joule's equation for electric heating is given as:

[tex]Q=I^2Rt[/tex]

Here, R is the resistance of the heating element.

Rearranging the above equation, we get:

[tex]R=\frac{Q}{I^2t}[/tex]

Substituting the values in the above equation, we get:

[tex]\begin{gathered} R=\frac{49958.4876\text{ J}}{18.014^2\text{ A}^2\times7.167\text{ m}} \\ \\ R=\frac{49958.4876\text{ J}}{324.5042\text{ A}^2\times7.167\times60\text{ s}} \\ \\ R=0.3580\text{ }\Omega \end{gathered}[/tex]

Final Answer:

The resistance of the heating element is 0.3580 Ω.

I need help with all these all in da bottomA bike moves 50 m in 5 seconds. calculate the speed

Answers

Answer:

Step 1

S = ?

ΔD = 50 m

ΔT = 5 s

Step 2

S = ΔD/ΔT

Step 3

S = ΔD/ΔT

Step 4

S = (50 m)/(5 s)

Step 5

S = 10 m/s

Explanation:

Step 1. variables.

The variables are the speed S, the distance traveled ΔD, and the time ΔT. Taking into account the given information, the speed is unknown, the distance traveled is 50 m and the time is 5 s. so:

S = ?

ΔD = 50 m

ΔT = 5 s

Step 2. Formula

We will use the following formula

S = ΔD/ΔT

Step 3. Solve for the unknown variable

Since the unknown variable is S, the equation is the same, so

S = ΔD/ΔT

Step 4. Plug in number

Now, we need to replace ΔD = 50 m and ΔT = 5 s on the equation

S = (50 m) /(5s)

Step 5. Calculate the answer

Then, the speed is equal to

S = 10 m/s

Therefore, the answer is:

10 m/s

i) How many grams of CO₂ is formed when 73.9g of propane is burnt? C3H8+ O2 CO2 + H₂O​

Answers

73.9g CO₂ is formed when 73.9g  or 1 mole of propane is burnt

C₃H₈+ 5O₂ ⇄ 3CO₂ + 4H₂O​

1 mole C₃H₈ gives 3 moles of CO₂

44 g C₃H₈ gives 44 g CO₂

73.9g  C₃H₈ gives 73.9g CO₂

Quantifying the amount of a substance is made easier with the help of the mole concept. It is understood that even a single gram of a pure element has a sizable number of atoms when dealing with particles at the atomic (or molecular) level. In this regard, the mole notion is frequently used. The "mole," which is a count of a large number of particles, is the most commonly used unit of measurement.

The letter NA is typically used to indicate the value 6.02214076*1023, also known as the Avogadro constant. Atoms, molecules, monoatomic and polyatomic ions, as well as other particles, are among the elementary entities that can be represented in moles (such as electrons).

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How do I solve this problem? 1. Draw the forces -trailer: weight downwards, normal force upwards, tension right and drag lefttruck: weight downwards, normal force upwards, tension left, drag left, thrust/applied right2. The system is moving with a constant speed, so the forces are balanced!3. Start by just looking at the trailer. The tension to the right must balance the drag. This will also be equal to the tension on the truck. 4. Now, just look at the truck. The thrust/applied force must balance the drag plus the tension.

Answers

A force diagram of the given situation is shown below:

where,

N1 and N2: normal forces on truck and trailer

fg1 and fg2: weights of truck and trailer

d1 and d2: drag forces on truck and trailer

T: tension in the cable

Based on the previous diagram and the given information, you can conclude:

Forces acting on the truck = 5

Forces acting on the trailer = 4

The forces of the system are balanced becasue the speed of the motion for both truck and trailer is constant.

You can notice that drag force on the trailer is opposite to tension in the cable, then:

T = d2 = 600N

T = 600N

The tension in the cable is 600N

Consider that all horizontal forces on the truck are balanced, then, you can write:

th = T + d1

th = 600N + 750N

th = 1350N

The truck generates 1350N of force

So I have these kinematics questions and I’m having a hard time answering it. It says:While riding a hot air balloon, which is steadily descending at a speed of 2.52 m/s, you accidentally drop your cell phone.(a) After 4.00 s, what is the speed of the cell phone?(b) How far is the cell phone below the balloon after this time?(c) What are your answers to part (a) and (b) if the balloon id rising steadily at 2.52 m/s?

Answers

a)

Objects moving under free fall have a constant acceleration g, which is the gravitational acceleration, directed downwards:

[tex]g=9.81\frac{m}{s^2}[/tex]

Since the balloon is descending at a speed of 2.52 m/s, the initial speed of the phone is 2.52 m/s. To find the speed after 4.00 seconds, use the formula that comes from the definition of acceleration:

[tex]v_f=v_0+gt[/tex]

Substitute the value for each parameter:

[tex]\begin{gathered} v_f=2.52\frac{m}{s}+(9.81\frac{m}{s^2})(4.00s) \\ =2.52\frac{m}{s^2}+39.24\frac{m}{s} \\ =41.76\frac{m}{s} \end{gathered}[/tex]

b)

From the reference frame of the balloon, the cellphone starts falling from rest, and accelerates with a constant acceleration g.

The equation that describes the distance traveled by an object that starts from rest and moves with constant acceleration g is:

[tex]d=\frac{1}{2}gt^2[/tex]

Substitute the values of g and t to find how far is the cell phone below the balloon after 4 seconds:

[tex]\begin{gathered} d=\frac{1}{2}(9.81\frac{m}{s^2})(4.00s)^2 \\ =78.48m \end{gathered}[/tex]

c)

If the balloon is rising steadly at 2.52 m/s instead of descending, then the acceleration of the cellphone will be directed in the opposite direction of its initial speed. Then, the initial speed and the acceleration must have opposite signs. Considering the upward direction as positive, we have that the initial speed of the phone is 2.52 m/s and its acceleration is -g. Then:

[tex]\begin{gathered} v_f=(2.52\frac{m}{s})-(9.81\frac{m}{s})(4.00s) \\ =2.52\frac{m}{s}-39.24\frac{m}{s} \\ =-36.72\frac{m}{s} \end{gathered}[/tex]

The speed is the modulus of the velocity. Then, the speed of the phone after 4 seconds in this situation, would be 36.72 m/s.

On the other hand, in the reference frame of the rising balloon, the phone still starts moving at rest and accelerating uniformly towards the floor. The answer will be the same, and the phone will be 78.48 m below the balloon after 4 seconds.

Therefore, the answers with the correct amount of significant figures, are:

a)

[tex]41.8\frac{m}{s}[/tex]

b)

[tex]78.5m[/tex]

c)

[tex]\begin{gathered} a) \\ 36.7\frac{m}{s} \end{gathered}[/tex][tex]\begin{gathered} b) \\ 78.5m \end{gathered}[/tex]

A lamp draws a current of 0.50 A when it is connected to a 120 V source. What is the resistance of the lamp?1) 4.17 10-2 ω2) 60 ω3) 2.4 102 ω4) 24 102 ω

Answers

Given data:

* The voltage of the given source is,

[tex]V=120\text{ Volts}[/tex]

* The current through the lamp is,

[tex]I=0.5\text{ A}[/tex]

Solution:

By the Ohm's law,

[tex]V=IR[/tex]

where R is the resistance of the lamp,

Substituting the known values,

[tex]\begin{gathered} 120=0.5\times R \\ R=\frac{120}{0.5} \\ R=240\text{ }\Omega \\ R=2.4\times10^2\text{ }\Omega \end{gathered}[/tex]

Thus, 3rd option is the correct answer.

using the ladder method, what is 480 cm = ________m

Answers

We have

480 cm

In order to know how many meters are 480 cm, we need to move the point two units to the left because the prefix centi represents 0.01 of the unit

therefore

480 cm = 4.8m

A4 resistor is connected to a 12-V battery. What is thecurrent through the battery? What is the power dissipatedby the resistor?

Answers

According to Ohm's law,

So the current is given as,

The power dissipated by the resistor is given as,

Hence, 3 A of current passes through the resistor and power dissipated is 36 W.

[tex]\begin{gathered} P=I^2R \\ =(3A)^2\times4\text{ }\Omega \\ =36\text{ W} \end{gathered}[/tex]

[tex]\begin{gathered} I=\frac{V}{R} \\ I=\frac{12\text{ V}}{4\text{ }\Omega} \\ I=3\text{ A} \end{gathered}[/tex]

[tex]V=IR[/tex]

Hey I need help with my homework not understanding the problem can someone please help

Answers

Answer:

a. 4 g/mL

Explanation:

First, we need to find the volume of the object. The volume is equal to the volume of the water displaced. So, it can be calculated as the difference in the volumes

75 mL - 50 mL = 25 mL

Then, the volume of the object is 25 mL and the mass is 100 g. Now, we can calculate the density as follows

density = mass/volume

density = 100 g/25 mL

density = 4 g/mL

Therefore, the answer is

a. 4 g/mL

Two equal, but oppositely charged particles are attracted to each other electrically. The size of the force of attraction is 56.46 N when they are separated by 50.91 cm. What is the magnitude of the charges in microCoulombs?

Answers

Answer:

q = 40.3 microCoulombs

Explanation:

The force of attraction between two charges is given by the formula:

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

The force of attraction. F = 56.46 N

The separation, r = 50.91 cm

r = 50.91/100

r = 0.5091 m

The electrostatic constant is:

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

Solve for the magnitude of charge q

[tex]\begin{gathered} F=\frac{kq^2}{r^2} \\ \\ 56.46=\frac{9\times10^9\times q^2}{0.5091^2} \\ \\ 56.46\times0.5091^2=9\times10^9\times q^2 \\ \\ q^2=\frac{56.46\times0.5091^2}{9\times10^9} \\ \\ q^2=1.63\times10^{-9} \\ \\ q=\sqrt{1.63\times10^{-9}} \\ \\ q=4.03\times10^{-5}C \\ \\ q=40.3\mu C \end{gathered}[/tex]

If you have to face south east to see a star, which is the azimuth?A.90 degreesB.135 degreesC.180 degreesD.195 degrees

Answers

The azimuth is the angle measured in clockwise from the north.

The given system can be represented as,

From the diagram,

The angle 90 degree from the north point towards the east.

The angle 180 degree from the north point towards the south.

The angle 195 degree from the north point towards south west.

The angle 135 degree from the north is in between the east and the south.

Thus, the azimuth to see the star in the south east is 135 degrees.

Hence, option B is the correct answer.

Other Questions
there is no artifact that is more characteristic of humans and more intertwined with the evolution of the species than: Question 6 Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books. How many minutes will she need to finish labeling all books if she takes no breaks and labels 15 books a minute Question 7 Suppose Clare labels the books at a constant speed of x books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling. Create a real life word problem that represents a partial variation and has a constant of variation of 4 Question 1(Essay Worth 10 points)(03.03 MC)A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:f(d) = 11(1.01)dPart A:When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)Part B:What does the y-intercept of the graph of the function f(d) represent? (2 points)Part C:What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)SourceStylesFormatQuestion 2(Essay Worth 10 points)(03.02, 03.03, 03.04 MC)The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.The amount f(x), in dollars, in account A after x years is represented by the function below:f(x) = 1,264(1.09)xPart A:Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)Part B:The table below shows the amount g(r), in dollars, of money in account B after r years:r (number of years)1234g(r) (amount in dollars)1,3751,512.501,663.751,830.13Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points) imagine that you are a human resource manager at an online retailer. what will you do in order to know whether you will be giving layoff notices to your programming staff or recruiting for additional programmers? The function y =30+5x represents the cost y (in dollars) of having your dog groomed and buying x for extra services . can u please just do C (graph the function using six values of it's domain Calculate the mass in grams of CO2 in 45.0 L of CO2 at STP the recursive rule is a1=__and a n-1 for n> __.the explicit rule is a n= ___(__)n-1 Over the past 7 days, Ms.Burge found that the temperature outside had dropped a total of 28 degrees. What is the average temperature per day? In The Gettysburg Address, President Lincoln makes the claim that the Civil War is a war worth fighting. How does he develop or refine this claim in each of the paragraphs? How does the structure of the speech contribute to his argument? Use evidence from the text to support your response. Your response should be at least two complete paragraphs. what challenges might you anticipate when providing intervention for an individual diagnosed with histrionic personality disorder? select all that apply. what is slope of the line parallel to the given line(I know the steps no explanation just need work:) The vertex of this parabola is at (-2,5). Which of the following could be its equation? (-2,5) -5 O A. y = 3(x-2)2-5 O B. y = 3(x-2)2 + 5 O C. y= 3(x+ 2)2-5 BE E EIE O D. y=3(x + 2)2 + 5 anter Please help me with this problem I keep getting this wrong an my son is not understanding clearly.Use the parabola tool to graph the quadratic function. f(x)=3x^2 + 6x 24 Graph the parabola by first plotting its vertex and then plotting a second point on the parabola. One type of dog treat, Barker, contains 3 oz and sells for $1.95. DogYum contains 3.25 and sells for $2.10.Which is less expensive, per ounce?A. DogYum is less expensive, per ounceB. Barker is less expensive, per ounce Situation:Holly wants to save money for anemergency. Holly invests $1,000 in anaccount that pays an interest rate of6.25% The Guardian online newspaper ________ the news on Tuesday.reportedinformedtoldThe actor ________ that he had not made that comment.inventedclaimedannouncedSam is going to be ________ by the BBC!interviewedadmittedreported A telemarketers computer selects phone numbers at random. The telemarketer has recorded the number of respondents in each age bracket for one evening in the following table. What is the probability that the next respondent will be between 18 and 25? Enter a fraction or round your answer to four decimal places, if necessary.Under-18 =1818-25=2526-35=4636-45=56Over 45=54 Find the composition of transformations thatmap ABCD to EHGF.Reflect over the [? ]-axis, then translate(x+[ ], y+[ ]).Note: Enter x ory for axis.BGH2DE124-3-2-10Enter Shape is essential for an enzyme but?Shape is essential for an enzyme so?