Answer:
Both charges are of the same sign (positive or negative) and with a value of 3.73 ηc.
Explanation:
Coulomb's Law
The electrical force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between the two objects.
Written as a formula:
[tex]\displaystyle F=k\frac{q_1q_2}{d^2}[/tex]
Where:
[tex]k=9\cdot 10^9\ N.m^2/c^2[/tex]
q1, q2 = the objects' charge
d= The distance between the objects
We know both charges are identical, i.e. q1=q2=q. Since the force is repulsive, both charges are positive or negative.
We also are given the force between them:
[tex]F=2\cdot 10^{-6}\ N[/tex]
And also the distance
d=25 cm = 0.25 m
Substituting all into the formula:
[tex]\displaystyle 2\cdot 10^{-6}=9\cdot 10^9\frac{q.q}{0.25^2}[/tex]
The product of [tex]q.q=q^2[/tex]. Operating:
[tex]\displaystyle 2\cdot 10^{-6}=9\cdot 10^9\frac{q^2}{0.0625}[/tex]
Operating:
[tex]\displaystyle 0.0625\cdot 2\cdot 10^{-6}=9\cdot 10^9\cdot q^2[/tex]
Solving for q:
[tex]\displaystyle q^2=\frac{0.0625\cdot 2\cdot 10^{-6}}{9\cdot 10^9}[/tex]
[tex]q^2=1.39\cdot 10^{-17}[/tex]
[tex]q=\sqrt{1.39\cdot 10^{-17}}=3.73\cdot 10^{-9}\ c= 3.73\ \eta c[/tex]
Both charges are of the same sign (positive or negative) and with a value of 3.73 ηc.
A spaceship left earth to collect samples from mars? Which statement is true about the strength of the earths gravity on moving spacecrafts
Answer:
The first one
Explanation:
Which is a characteristic of thermal energy transfer through convection
Answer: The thermal energy transfer is When a fluid, such as air or a liquid, is heated and then travels away from the source, it carries the thermal energy along.
Explanation: heat transfer is called convection. hopefully this was helpful.
What are the bumps on a gear called?
Answer:
Teeth
Explanation:
The main parts of geards are the base and the teeth. When two wheels are combined and joined by a belt, the larger wheel will rotate more slowly than the smaller wheel, but it will rotate with a greater force. A big wheel with twice the circumference of a small wheel will rotate with twice the force and half the speed of the small wheel.
Gears are connected together in various ways to transmit motion and force. Two connected gears of different sizes will cause one of the gears to turn faster or slower than the other. One gear will also move the force in a different direction than the other.
Gear ratio is the number of teeth on the following gear divided by the number of teeth on the driving gear (the gear inputting the motion).
A low gear ratio = more speed = less force
A high gear ratio = less speed = more force
Please give me brainliest if this helps!
Answer:
Teeth
Explanation:
PLEASEE HELPPP!!! GIVING 15 PT
Answer:
between point c and point D
Many biological systems are well-described by the laws of statistical physics. A simple yet often powerful approach is to think of a system as having only two states. For example, an ion channel may be open or closed. In this problem, consider a simple model of membrane channels for ions: The system is described by a Boltzmann distribution with only two states, with energies ε1 (open) and ε2 (closed). Assume the "open" state is the state of higher energy, so that ε1 > ε2.
If the probability of finding an ion channel open is popen and the probability of finding the ion channel closed is pclosed, which of the expressions below best represents the relative probability of open to closed, R = popen/pclosed? Use the notation z1 = e-ε1/kBT and z2 = e-ε2/kBT
a. z1-z2
b. z2-z1
c. z1/z2
d. z2/z1
e. Something else
Answer:
z1/z2
Explanation:
we have no quantum effects therefore we can make use of Maxwell Boltzmann distribution in the description of this system.
using the boltzman distribution the probability of finding a particle in energy state
[tex]P_{ei} = \frac{gie^{-ei/kol} }{z}[/tex]
we have
gi to be degeneration of the ith state
ei to be energy of ith state
[tex]z=e^{-ei/kbt}[/tex] summation
[tex]P_{ope} = \frac{e^{-ei/kBt} }{z} = \frac{Z_{1} }{Z}[/tex]
We have R to be equal to
[tex]\frac{P_{ope} }{P_{Close} } = \frac{Z1}{Z2}[/tex]
How far away are the Stars?
Answer:
25,300,000,000,000 miles away
Although we have discussed single-slit diffraction only for a slit, a similar result holds when light bends around a straight, thin object, such as a strand of hair. In that case, a is the width of the strand. From actual laboratory measurements on a human hair, it was found that when a beam of light of wavelength 633.0nm was shone on a single strand of hair, and the diffracted light was viewed on a screen 1.40m away, the first dark fringes on either side of the central bright spot were 5.34cm apart. How thick was this strand of hair?
Answer:
a = 16.5 x 10⁻⁶ m = 16.5 μm
Explanation:
Here we will use the diffraction equation:
y = mλL/a
where,
y = distance between two consecutive dark fringes = 5.34 cm = 0.0534 m
m = order of diffraction = 1
λ = wavelength of light = 633 nm = 6.33 x 10⁻⁷ m
L = Distance between hair and screen = 1.4 m
a = thickness of hair = ?
0.0534 m = (1)(6.33 x 10⁻⁷ m)(1.4 m)/(a)
a = (6.33 x 10⁻⁷ m)(1.4 m)/(0.0534 m)
a = 16.5 x 10⁻⁶ m = 16.5 μm
a 25 kg object falls off a cliff and hits the ground 10 seconds later. How much force does the object apply to the ground on impact?
Answer:
Yes
Explanation:
Beacause u have 25 kg,and falls off from a cliff hanger cause its too bit heavy
What energy conversions take place during these activities?
Riding uphill, the boy's work is converted into magnetic energy, riding on level ground, his work is converted into thermal energy
A
B
Riding uphill the boy's work is converted into thermal energy, riding on level ground, his work is converted into potential energy
c С
Riding uphill, the boy's work is converted into potential energy, riding on level ground, his work is converted into kinetic energy
D
Riding uphill, the boy's work is converted into kinetic energy, riding on level ground, his work is converted into magnetic energy
I'm pretty sure your answer should be
C. Riding uphill, the boy's work is converted into potential energy, riding on level ground, his work is converted into kinetic energy.
Which describes how the spring constant affects the potential energy of an object for a given displacement from an equilibrium position?
A the higher the spring constant, the greater the gravitational potential energy.
B The lower the spring constant, the greater the gravitational potential energy.
C The higher the spring constant, the greater the elastic potential energy.
D The lower the spring constant, the greater the elastic potential energy
Answer:
Based on the answer choices provided, the correct answer is:
C, The higher the spring constant, the greater the elastic potential energy.
Explanation:
The spring constant is best defined as the measure of a spring's resistance to force (in regards to factors such as stretching and compression).
Thus, the higher the spring constant, the stiffer the string - this equates to greater elastic potential energy (think of stretching a rubber band or using it as a slingshot).
Hope this helps!
Answer:
C.) The higher the spring constant, the greater the elastic potential energy.
Explanation:
ANSWER QUICK ! WILL GIVE BRAINLIEST
(EDGE2020 PHYSICS)
Substance X transfers thermal energy to substance Y through conduction. What is an accurate conclusion about the condition of both substances before conduction occurred?
Their molecules had the same amount of energy.
The substances were the same temperature.
Substance X’s molecules were faster than substance Y’s.
Substance X was cooler than substance Y.
Answer:
Substance X transfers thermal energy to substance Y through conduction. What is an accurate conclusion about the condition of both substances before conduction occurred? Substance X's molecules were faster than substance Y's.
Explanation:
An accurate conclusion about the condition of both substances before conduction occurred is substance X’s molecules were faster than substance Y’s.
What is thermal energy?
Thermal energy is the energy released in the form of heat. It manifests itself by releasing heat. It results from the atoms' movement or vibration, so it displays the system's internal energy. We define thermal energy as part of the internal energy of a system.
It is an extensive quantity, it depends on the size of the system, or on the amount of substance it contains. The SI unit of thermal energy is the joule (J). It is the energy contained within the system, excluding the kinetic energy of motion of the system as a whole and the potential energy of the system. Thermal energy is often classified into various types on the basis of how this internal energy, in the form of heat, is transferred from one body to another.
The correct answer is option C.
Learn more about thermal energy, refer:
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Please im begging you help me
Answer:
21
Explanation:
21
Answer:
speed is equal to distance divided by time
(for the chart i'm assuming that the time is measure in seconds but if not just change the s with whatever time unit you are using)
A. 0.224 m/s
B. 0.230 m/s
C. 0.258 m/s
D. 0.265 m/s
E. 0.301 m/s (fastest speed)
F. 0.217 m/s (slowest speed)
A car traveled at a constant velocity of 70 mph from noon to 2:00 pm. At 3:00 pm the velocity of the car was 80 mph; and finally at 4:30 pm the velocity of the car was 40 mph.
Which statement accurately describes the acceleration of the car?
Answer:
Not sure which statements were give to you for this question, but the vehicle's acceleration from noon to 2:00 PM was zero, the vehicle had a positive acceleration between 2:00 pm and 3:00 pm, and the vehicle had a negative acceleration at 4:30 PM.
Explanation:
From 12:00 PM to 2:00 PM, the vehicle traveled at a constant velocity of 70 MPH, meaning there wasn't any change to the speed. The velocity remained the same. An hour later, the velocity of the vehicle increased to 80 MPH, and finally at 4:30 PM, the velocity of the car decreased and was at 40 MPH.
If you were unfortunate enough to be 5.5 mm away from such a lightning bolt, how large a magnetic field would you experience
The question is incomplete. Here is the complete question.
Lightning bolts can carry currents up to approximately 20kA. We can model such a current as the equivalent of a very long, straight wire.
(a) If you were unfortunate enough to be 5.5m away from such a lightning bolt, how large a magnetic field would you experience?
(b) How does this field compare to one you would experience by being 5.5cm from a long, straight household current of 5A?
Answer: (a) B = 7.27 x 10⁻⁴ T
(b) Approximately 40 times higher than a household one.
Explanation: Using Biot-Savart Law, the magnetic field in a straight, long wire is given by
[tex]B=\frac{\mu_{0}I}{2.\pi.r}[/tex]
where:
[tex]\mu_{0}[/tex] (permeability of free space) = [tex]4.\pi.10^{-7}[/tex]T.m/A
(a) If lightning bolt is compared to a long and straight wire, then magnetic field is
[tex]B=\frac{4.\pi.10^{-7}.10.10^{3}}{2.\pi.5.5}[/tex]
B = 7.27 x 10⁻⁴ T
The magnitude of magnetic field in a lightning bolt is 7.27 x 10⁻⁴ T
(b) Magnetic field in a household wire will be
[tex]B=\frac{4.\pi.10^{-7}.5}{2.\pi.5.5.10^{-2}}[/tex]
B = 1.82 x 10⁻⁵ T
Comparing fields:
[tex]\frac{7.27.10^{-4}}{1.82.10^{-5}}[/tex] ≈ 40
The filed for a lightning bolt is approximately 40 times higher than for a household wire.
PLEASE ANSWER QUICK (7th grade science measurment of volume)
Estimate the water volume in the graduated cylinder to the nearest 0.1 mL.
(Remember to read from the bottom of the curved meniscus.)
Answer : The volume of water in graduated cylinder is 15.5 mL.
Explanation :
As we know that for the measurement of the volume of liquid in graduated cylinder are shown by placing the graduated cylinder on the flat surface and then view the height of the liquid in the graduated cylinder with the naked eyes directly level with the liquid.
The liquid will tend to curve downward that means this curve is known as the meniscus.
In the case of colored liquid, we are always read the upper meniscus of the liquid for the measurement.
In the case of colorless liquid, we are always read the lower meniscus of the liquid for the measurement.
In the given image, there are 5 larger and 5 smaller division between the 15 and 20 and the solution is colored. The value of larger division is 1 mL and smaller division is 0.5 mL.
So, we will read the upper meniscus of the liquid for the measurement.
Hence, the volume of water in graduated cylinder is 15.5 mL.
giving brainlist down below pick one form of government that is easy to do
Direct Democracy, Representative Democracy, Dictatorship, Oligarchy, Communism, or Socialism
Answer:
Representative Democracy.
Explanation:
It is simple and easy because you choose a representative to make choices for the good of your people. It is much simpler then all the rest.
What is the HORIZONTAL component of a vector with a magnitude of 125 m/s and an angle of 25 degrees?
Answer:
113.29 m/s
Explanation:
I think its this answer choice, hope I'm not too late answering.
Your friend has decided to make some money during the next State Fair by inventing a game of skill. In the game as she has developed it so far, the customer shoots a rifle at a 5.0 cm diameter target falling straight down. Anyone who hits the target in the center wins a stuffed animal. Each shot would cost 50 cents. The rifle would be mounted on a pivot 1.0 meter above the ground so that it can point in any direction at any angle. When shooting, the customer stands 100 meters from where the target would hit the ground if the bullet misses. At the instant that the bullet is fired (with velocity of 1200 ft/sec according to the manual), the target is released from its holder 7.0 meters above the ground. (You see, the trigger is electronically connected to the release mechanism.) Your friend asks you to try out the game which she has set up on a farm outside of town. Before you fire the gun you calculate where you should aim. You may, as usual, neglect any effects of air resistance. Your conclusion? At what angle from the vertical should you aim?
Answer: from the vertical, one should aim 86.6°
Explanation:
height of the center of object = 7.0 m - 0.05 m = 6.95 m
now let the bullet hits centre at point A height x meters from the ground
also let t be the time taken for the bullet to hit the object
so distance travelled by the target will be
d = h - x = 6.95 - x
now using the equation of motion
d = 1/2gt²
so 1/2gt² = 6.95 - x
x = 6.95 - 1/2gt² .........let this be equ 1
let angle of fire be ∅
so v(cos∅) × t = 100
our velocity v is 1200 ft/sec = 365.76 m/s
365.76(cos∅) × t = 100 ........equ 2
also vertical position of the bullet after t is
y = y₀ + c(sin∅)t - 1/2gt²
y = 1 + 365.76(sin∅)t - 1/2gt² ----- equ 3
After time t. the vertical position x and y are same, else the bullet wouldn't have strike target at centre, so;
x = y
we substitute
equ 1 = equ 3
6.95 - 1/2gt² = 1 + 365.76(sin∅)t - 1/2gt²
6.95 - 1 = 365.76(sin∅)t - 1/2gt² + 1/2gt²
5.95 = 365.76(sin∅)t
t = 5.96 / 365.76(sin∅)
now input the above equ into equ 2
365.76(cos∅) × 5.96/365.76(sin∅) = 100
5.95(cos∅)/sin∅ = 100
tan∅ = 5.95/100 = 0.0595
∅ = 3.40°
therefore from the vertical, one should aim (90° - 3.40°) = 86.6°
A beam of light strikes one face of a window pane with an angle of incidence of 30.0°. The index of refraction of the glass is 1.52. The beam travels through the glass and emerges from a parallel face on the opposite side. Ignore reflections.
Required:
a. Find the angle of refraction for the ray inside the glass.
b. Show that the rays in air on either side of the glass (the incident and emerging rays) are parallel to each other.
(a) The angle of refraction for the ray inside the glass will be 19.26°.
(b) It is proved that the rays in the air on either side of the glass are parallel to each other
What will be the angle of refraction for the ray inside the glass?
When a ray of light passes through a different medium some part of the light gets reflected and some part gets refracted by changing its angle in the different medium this angle is called the angle of refraction and the phenomenon is called refraction of light.
It is given that,
The angle of incidence = 30.0°
Index of reflection of glass = 1.52
(a) For finding the angle of the refraction for the ray inside the glass we will use Snell's Law
[tex]\dfrac{Sini}{Sinr} =\mu[/tex]
Put the value into the formula
[tex]Sinr=\dfrac{Sini}{\mu} =\dfrac{Sin30}{1.52}[/tex]
[tex]r=Sin^{-1}(0.329)[/tex]
[tex]r=19.26^o[/tex]
(b) Now for proof of [tex]Sin\ i =Sin\ e[/tex]
The incident ray and emerging ray are equal then the ray will be parallel.
We need to prove that the rays in the air on either side of the glass are parallel to each other.
Using the formula for emerging ray
[tex]\dfrac{Sin\ e}{Sin\ r} = \mu[/tex]
[tex]Sin\ e=\mu Sin \ r=1.52\times Sin19.26[/tex]
By putting the values in the formula
[tex]e=Sin^{-1}(1.52\times0.3289)[/tex]
[tex]e=30^o[/tex]
Since the incident angle and the emerging angle are equal
[tex]Sin \ i=Sin \ e[/tex]
Thus incident and emerging rays) are parallel to each other.
(a) So the angle of refraction for the ray inside the glass will be 19.26°.
(b) It is proved that the rays in the air on either side of the glass are parallel to each other
To know more about Snell's Law follow
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A car in front of the school goes from rest to 27 m/s in 3.0 seconds. What is its acceleration (assuming
it is constant)?
The answer is 13.5 because 27÷3.0=13.5
The world record for the 100-meter dash is 9.76 s. What is the runner's average speed?
Answer:
mine is 9.75 so take that as you will
Explanation:
please help quick, i’m timed!
Question 2 (5 points)
What is the speed of sound in water if the wavelength is 2.5 m and the frequency
592 Hz?
What would happen to the frequency if the wavelength increased to 5 m?
Explanation:
v=592×2.5
v=1480m/s
ii) v=1480m/s, wavelength= 5m, f=?
f=1480/5
f=296Hz
what are day and night are produced by?
Answer:
Day and night are due to the Earth rotating on its axis, not its orbiting around the sun. The term 'one day' is determined by the time the Earth takes to rotate once on its axis and includes both day time and night time.
Explanation:
Answer:
Day and night are due to the Earth rotating on its axis, not its orbiting around the sun. The term 'one day' is determined by the time the Earth takes to rotate once on its axis and includes both day time and night time.
note:
your welcome and please answer my question its called part 1 math work if you could do that i will give you 40 points
2 QUESTION FOR 100 POINTS. PLEASE PROVIDE EXPLANATION
Answer:
(b) 0.0176
(c) -0.0124
(d) 209
(e) Also comes to rest
(a) 2.38
(b) 5.95
Explanation:
(a) Your answer is correct. Angular momentum is conserved, so as the lighter beetle moves clockwise, the heavier turntable will move counterclockwise at a slower speed.
(b/c) Initial angular momentum = final angular momentum
L₀ = L
I₁ ω₁,₀ + I₂ ω₂,₀ = I₁ ω₁ + I₂ ω₂
0 = mr² ω₁ + ½ Mr² ω₂
0 = 2m ω₁ + M ω₂
The beetle's angular velocity relative to the turntable is 0.03 rad/s, so ω₁ = ω₂ + 0.03. Plugging in:
0 = 2 (30 g) (ω₂ + 0.03 rad/s) + (85 g) ω₂
0 = 60ω₂ + 1.8 rad/s + 85ω₂
145ω₂ = -1.8 rad/s
ω₂ = -0.0124 rad/s
ω₁ = ω₂ + 0.03
ω₁ = 0.0176 rad/s
Relative to a stationary observer, the beetle moves 0.0176 rad/s clockwise and the turntable moves -0.0124 rad/s counterclockwise.
(d) Angular distance = angular velocity × time
2π rad = (0.03 rad/s) t
t = 209 s
(e) Angular momentum is conserved. Since both the beetle and the turntable were originally at rest, the turntable will again come to rest when the beetle stops.
(a) Angular momentum is conserved.
L₀ = L
I₀ ω₀ + I₂ ω₀ = I ω + I₂ ω
(I₀ + I₂) ω₀ = (I + I₂) ω
(M (R/2)² + ½ (3M) (R)²) ω₀ = (M (R)² + ½ (3M) (R)²) ω
(¼ MR² + ³/₂ MR²) ω₀ = (MR² + ³/₂ MR²) ω
(¼ + ³/₂) ω₀ = (1 + ³/₂) ω
(1 + 6) ω₀ = (4 + 6) ω
7ω₀ = 10ω
ω = 0.7ω₀
ω = 0.7 (3.40 rad/s)
ω = 2.38 rad/s
(b) Angular momentum is conserved.
L₀ = L
I₀ ω₀ + I₂ ω₀ = I ω
(I₀ + I₂) ω₀ = I ω
(M (R/2)² + ½ (3M) (R)²) (3.40 rad/s) = M (R)² ω
(¼ MR² + ³/₂ MR²) (3.40 rad/s) = MR² ω
(¼ + ³/₂) (3.40 rad/s) = ω
ω = 5.95 rad/s
Notice we could also have used our answer from part a and I₀ = MR².
(I₀ + I₂) ω₀ = I ω
(M (R)² + ½ (3M) (R)²) (2.38 rad/s) = M (R)² ω
(MR² + ³/₂ MR²) (2.38 rad/s) = MR² ω
(1 + ³/₂) (2.38 rad/s) = ω
ω = 5.95 rad/s
Objects can be charged by the transfer of electrons.
True
False
Answer:
True
Explanation:
Whenever electrons are transferred between objects, neutral matter becomes charged. For example, when atoms lose or gain electrons they become charged particles called ions. Three ways electrons can be transferred are conduction, friction, and polarization. In each case, the total charge remains the same.
I tried, hope this helps :)
* I might be wrong though
The initial speed of a cannon ball is 0.20 km/s. If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon, what is the minimum time of flight for the ball
Answer:
15 seconds
Explanation:
Given that the initial speed of a cannon ball is 0.20 km/s. If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon. The minimum time of flight for the ball can be calculated by using the formula for speed
speed = distance / time
Where
speed = 0.2 km/s
distance = 3 km
Substitute the two parameters into the formula
0.2 = 3 / t
make t the subject of the formula
t = 3/0.2
t = 15 s
Therefore, the minimum time of flight for the ball is 15 seconds
(15 points) How does change in a roller coasters motion depend on the sum of the forces and the mass of the ride?
What is the average velocity of the object between t = 3 seconds and t = 4 seconds?
2
A
-1
Your answer:
-1 cm/s
-2 cm/s
O2 cm/s
o 1 cm/s
00 cm/s
O 0.5 cm/s
-0.5 cm/s
Answer:
it's uhh 0.05 my g yup that's the answer
Explanation:
5
A moving car of mass 500 kg collides with a stationary truck of
mass 1500 kg, and the two vehicles lock together on impact.
The combined velocity of the car and truck after the collision is
20 m/s. What is the velocity of the car before the collision?
Answer:
We are given:
m1 = 500 kg m2 = 1500 kg
v1(initial) = x m/s v2(initial) = 0 m/s
v1(final) = 20 m/s v2(final) = 20m/s
According the the law of conservation of momentum:
m1v1(initial) + m2v2(initial) = m1v1(final) + m2v2(final)
Plugging the values in this formula:
(500*x) + (1500 * 0) = (500 * 20) + (1500 * 20)
500x = 20(1500 + 500)
500x = 20(2000)
x = 20 * 4
x = 80 m/s
Therefore, the car was initially moving at a velocity of 80 m/s
Tendon forces Ta and Tb are exerted on the patella. The femur exerts force F on the patella. If the magnitude of Tb is 80 N, what are the magnitudes of Ta and F, if no motion is occurring at the joint? (Answer: Ta = 44.8 N, F = 86.1 N)
Complete question
The diagram for this question is shown on the first uploaded image
Answer:
[tex]T_a = 44.8 \ N [/tex] , [tex] F = 86.03 \ N [/tex]
Explanation:
From the question we are told that
The magnitude of [tex]T_b = 80 N[/tex]
From the diagram we can see that
[tex]Ta * sin (38) + F * sin (29) = T_b * cos (30) \ \cdots (1)[/tex]
[tex]Ta * sin (38) + F * sin (29) = 80 * cos (30) \ \cdots (1)[/tex]
[tex]0.616 Ta + 0.485F = 69.3 \ \cdots (1)[/tex]
=> [tex]T_a = \frac{69.3 - 0.485F}{0.616}[/tex]
Also
[tex]T_a * cos(38) + T_b * sin (30)= F * cos (29) \ \cdots (2)[/tex]
=> [tex]T_a * cos(38) + 80* sin (30)= F * cos (29) \ \cdots (2)[/tex]
=> [tex]0.788 T_a + 40 = 0.875 F \ \cdots (2)[/tex]
=> [tex]0.788 [\frac{69.3 - 0.485F}{0.616}]+ 40 = 0.875 F[/tex]
=> [tex] 88.65 - 0.6204 F + 40 = 0.875 F[/tex]
=> [tex] 88.65 + 40 = 0.875 F+0.6204 F [/tex]
=> [tex] 128.65 = 1.4954 F [/tex]
=> [tex] F = 86.03 \ N [/tex]
substituting this obtained value for F in the above equation
[tex]T_a = \frac{69.3 - 0.485(86.03)}{0.616}[/tex]
[tex]T_a = 44.8 \ N [/tex]