Answer:
[tex] \boxed{\sf Maximum \ tension \ (T_{max}) = 224 \ N} [/tex]
Given:
Mass (m) = 8 kg
Constant speed (v) = 6 m/s
Radius of vertical circle (r) = 2 m
Accelration due gravity (g) = 10 m/s²
To Find:
Maximum tension in the string ([tex] \sf T_{max} [/tex])
Explanation:
As the object is moving in a vertical circular path. So, the maximum tension on the string is when the body will be on its lowest position because at that point centrifugal force and force due to gravity both will act on the body in same direction.
So,
Maximum tension ([tex] \sf T_{max} [/tex]) is the string will be equal to centrifugal force ([tex] \sf F_c [/tex]) + Force due to gravity.
[tex] \boxed{ \bold{ T_{max} = F_c + mg= \frac{m {v}^{2} }{r} + mg }}[/tex]
Substituting value of m, v, r & g in the equation:
[tex] \sf \implies T_{max} = \frac{8 \times {6}^{2} }{2} + 8 \times 10 \\ \\ \sf \implies T_{max} = \frac{8 \times 36}{2} + 80 \\ \\ \sf \implies T_{max} = \frac{8 \times 36}{2} + 80 \\ \\ \sf \implies T_{max} = \frac{288}{2} + 80 \\ \\ \sf \implies T_{max} = 144 + 80 \\ \\ \sf \implies T_{max} = 224 \: N [/tex]
[tex] \therefore[/tex]
Maximum tension in the string (T) = 224 N
A charge +Q is located at the origin and a second charge, +4Q, is at distance d on the x-axis. If a third charge, q, is placed somewhere, so that all three charges will be in equilibrium.1. What should be its sign, so that all three charges will be in equilibrium?A. Negative.B. Positive.2. What should be its magnitude, so that all three charges will be in equilibrium?
Answer:
Third charge should be placed at a distance d/3
Sign is negative
Magnitude is |q| = 4Q/3
Explanation:
To find a place where a third charge, q, is placed so that all three charges will be in equilibrium would be at;
E1 = E2
Now, let the distance between the charges +Q and +4Q be d. Also, let the distance from charge +Q to the third charge q be x.
Thus;
E1 = kQ/x²
E2 = k(4Q)/(d - x)²
Since equilibrium, then;
E1 = E2 gives;
kQ/x² = k(4Q)/(d - x)²
k and Q will cancel out to give;
1/x² = 4/(d - x)²
Cross multiply to get;
(d - x)² = 4x²
Taking square root of both sides gives;
√(d - x)² = √4x²
Gives;
d - x = 2x
d = x + 2x
d = 3x
x = d/3
This is the point at which E1 = E2.
Since at equilibrium, it means that Fq + F2 = 0
Now, electric force formula is;
F = kq1*q2/r²
So; Fq = kqQ/x²
F2 = kQ(4Q)/d²
Equating Fq + F2 = 0 gives;
kqQ/x² + kQ(4Q)/d² = 0
kqQ/x² = -kQ(4Q)/d²
Like terms cancel out to get;
q/x² = -4Q/d²
q = - 4Qx²/d²
earlier we saw that x = d/3.
So, q = -4Q × (d/3)²/d²
q = -4Q × ⅓
q = - 4Q/3
Thus,it's sign is negative.
It's magnitude will be the positive value.
Thus, magnitude is;
|q| = 4Q/3
1). The sign that will be of all the given three charges being in equilibrium would be:
A). Negative
2). The magnitude to allow all the given three charges to remain in equilibrium would be:
- Magnitude [tex]|q| = 4Q/3[/tex]
Given that,
First Charge [tex]= +Q[/tex]
Second Charge[tex]= +4Q[/tex]
Third Charge [tex]= q[/tex]
The location where they will be in equilibrium would be:
[tex]E1 = E2[/tex]
So,
We will assume the distance between the first two charges i.e. +Q and +4Q as d and assume the distance from charge +Q to the third charge q as x.
Now,
[tex]E1 = kQ/x^2[/tex]
[tex]E2 = k(4Q)/(d - x)^2[/tex]
Therefore,
The equilibrium will be at:
[tex]kQ/x^2 = k(4Q)/(d - x)^2[/tex]
by solving we get,
[tex]x = d/3[/tex]
Because at equilibrium [tex]Fq + F2 = 0[/tex],
So,
F [tex]= kq1*q2/r^2[/tex]
and [tex]Fq = kqQ/x^2[/tex]
[tex]F2 = kQ(4Q)/d^2[/tex]
by resolving the equation, we get;
[tex]Fq + F2 = 0[/tex]
[tex]kqQ/x^2 + kQ(4Q)/d^2 = 0[/tex]
By solving it, we get
[tex]Magnitude(q) = - 4Q/3[/tex]
Thus, the sign is negative.
and Magnitude |q| = 4Q/3
Thus, options A and [tex]|q| = 4Q/3[/tex] would be the correct answer.
Learn more about "Charge" here:
brainly.com/question/3412043
Plz help me this question is hard to under stand
Answer:
____________
in real world conditions?
it seems the most plausible.
Answer (B)
Cars are tested on closed tracks and race tracks so rule out A, D. Tha leaves us with B, C. C is kind of a real-world situation so the answer is most likely, B.
The Flash can travel 400 m in just 5.2 minutes. What is his average velocity in m/s?
Answer:
76.9231
Explanation:
Divide 400m by 5.2 to get the answer.
Speed = (distance) / (time to cover the distance)
Speed = (400 m) / (5.2 minutes)
Speed = (400 m) / (312 seconds)
Speed = 1.28 m/s
There's not enough given information to find his velocity.
(I'll be honest with ya, Flash: 1.28 m/s is no big deal. It's only about 2.87 miles per hour. My dog can walk faster than that, and so can most healthy people. If that's the best you can do, then you probably shouldn't be running around chasing bad guys.)
Which form of emission is commonly not written in nuclear equations because they do not affect charges, atomic numbers, or mass numbers?
Answer:
Gamma radiation .
Explanation:
Three types of emission result at the time of nuclear emission .
alpha emission
Beta emission
Gamma radiation emission
Gamma radiation results in the emission of gamma ray . This is a very high frequency radiation . It is not a particle having charge and mass like alpha and beta emission . So it has no effect on the mass and charge of the product that is formed after gamma radiation . The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product . It causes negligible change in the mass of the product and no change in the charge of the product.
That is why , generally this product is not written in the nuclear reaction .
Answer:
The answer is Gamma ray
Explanation:
Because this is a very high frequency radiation, is not a particle having charge and mass like alpha and beta emission, so it has no effect on the mass and charge of the product that is formed after gamma radiation. The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product, it causes negligible change in the mass of the product and no change in the charge of the product.
2. Find the velocity when the displacement is 40 m and the time is 5 s.
Answer:
V=?
S= 40m
t=5s
V=S/t
V=40/5
V=8m/s
What is the difference between centrifugal force and centripetal force???
Answer:
Centripetal force is the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation, while centrifugal force is the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation
Explanation:
Hope this helps!
Brainliest if correct pls
Convert 543 g to kg (Use correct number of significant figures for answer).
a
Ob
e
0.5 kg
0.54 kg
0.543 kg
5.0 kg
5.4 kg
5.43 kg
54,300 kg
543,000 kg
None are Correct
g
Answer:
0.543 kilogram
Explanation:
thats the answer
How do you think the mass of an object affects how much friction get exerted on the object by a rough surface?
Explanation:
Friction can't affect mass of a substance(considering for a substance whose mass doesn't change with time),rather it is the mass of an object which can affect friction variously. Let's take some example to understand the situation. So,higher the mass of the object,higher will be the frictional force.
Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. Heavier objects also have more friction because they press together with greater force. Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy.
Which of the following is an example of an electromagnetic wave? (2 points)
Red light
Ocean waves
Sound waves
Earthquakes
Answer:
a
Explanation:
find the potential energy of a diver of mass 75kg at a height of 10m above a swimming pool g=9.8m
Answer:
[tex] \boxed{\sf Potential \ energy \ (PE) = 7.35 \ kJ} [/tex]
Given:
Mass (m) = 75 kg
Height (h) = 10 m
Acceleration due to gravity (g) = 9.8 m/s²
To Find:
Potential Energy (PE)
Explanation:
The formula for potential energy due to gravity:
[tex] \boxed{ \bold{PE = mgh}}[/tex]
Substituting value of m, g & h in the formula:
[tex] \sf \implies PE = 75 \times 10 \times 9.8 \\ \\ \sf \implies PE = 7350 \: J \\ \\ \sf \implies PE = 7.35 \: kJ[/tex]
A long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density r that is a function of radial distance r from the cylinder axis: r ! Ar2 . For A ! 2.5 mC/m5 , what is the magnitude of the electric field at (a) r ! 3.0 cm and (b) r ! 5.0 cm?
Answer:
a) 1.91 c/m
b) 3.62 c/m
Explanation:
See attached image
A 20 kg block rests on a rough horizontal table. A rope is attatched to the block and is pulled with a force of 80 N to the left. As a result, the block accelerates at 2.5 m/s^2 . The coefficient is Kinetic force friction between the block and the table is ____( Round to the nearest hundredth )
Given :
Mass of block , M = 20 kg .
Force applied , F = 80 N .
Acceleration of block , [tex]a=2.5\ m/s^2[/tex] .
To Find :
The coefficient is Kinetic force friction between the block and the table .
Solution :
We know , Force equation on block is given by :
[tex]F_{net }=F-\mu_k mg \\\\ma = F-\mu_k mg \\\\20\times 2.5 = 80 -\mu_k \times 20 \times 10\\\\\mu_k\times 200=30\\\\\mu_k=\dfrac{30}{200}\\\\\ mu_k=0.15[/tex]
Therefore , coefficient is Kinetic force friction between the block and the table is 0.15 .
Hence , this is the required solution .
1 point
In a biology experiment the number of yeast cells is determined after 24
hours of growth at different temperatures. What is the INDEPENDENT
variable? *
type of yeast
24 hour time period
different temperatures
number of yeast cells
Answer:
different temperatures
Explanation:
The independent variable would be different temperatures.
The independent variable is the variable that is manipulated or varied in an experiment in order to see the effects it will produce on another variable - the dependent variable. The values of the independent variable are directly inputted by the researcher and are not changed by any other variable throughout the experiment.
In the illustration, the effect of a variation in temperature is determined by counting the number of yeast cells. This showed that the manipulated variable is the temperature and hence, the independent variable.
Driving at 75 m/s, you hit the brakes on your new car, accelerating at
a rate of -20 m/s2. How much time will it take the car to come to
rest?
Explanation:
initial velocity, u = 75m/s
acceleration, a = -20m/s2
final velocity, v = 0m/s (rest)
Using the formula,
v = u + at
0 = 75 + (-20)t
t = 3.75 seconds
how many grams is 1dg?
Answer:
Oh, I didn't know if u meant decigram or decagram! So for decagram there would be 10 grams and deci gram is 0.1 grams. Hope this helps!!
Explanation:
Answer:
Hey there!
There are 10 grams in one decagram.
Let me know if this helps :)
Raymond and Julie ar driving to Santa Barbara.
They drive at an average speed of Bomon for
2.5 hours before he stopping for lunch. H
takes them 30 minutes to eat. After lunch
they continue driving or an average speed
of so mon for 3.0 nono . What is their
average speed, in miles
for the
3.5
entive
HID
per hour
Name three common areas where unethical situations can occur in research.
Answer:
Unethical behavior or ethical code are very important ion research or different areas. Ethical code protects people from misbehavior, disclose their privacy etc.
Explanation:
Many of people walk to the working place where most of people witnessed the unethical behavior with them. There are many area that are responsible for misconduct such as :
Misusing company timeAbusive behavior by researcher in field work.Leak privacy by a doctor of patient. In organization lying to the employee related to contract.To violet the company policies. In clinical setting misbehave with patient that unethical Unethical behavior could occur in business, among individual, by professional and among the political parties and social workers.I want to know if high school starts hard and gets easier as the year goes? in your opinion
Answer:
It depends on how much you stress I recommend starting calm!
Explanation:
Answer:
I'm a senior right now, but I think the subjects gradually get more difficult, it's not all too difficult though, it's just stressful because the amount of work your expected to finish.
Explanation:
When exercising, which hormone level decreases in females often causing a better mood?
Estrogen
Adrenaline
Blood Sugar
Cortisol
Answer:
The correct option is;
Adrenalin
Explanation:
The presence of Adrenalin can cause headaches, memory loss, confusion, make a person unable to concentrate, and therefore, generally affects the mode in female, as such it is important for a decrease the level of Adrenalin by exercising, which causes the Adrenalin and cortisol to reduce in a similar way to consuming gasoline by burning gasoline, cardiovascular exercises burns Adrenaline.
Doing exercises causes adrenaline and cortisol, which are the body's stress hormones to be reduced.
Answer:
It's adrenaline
Explanation:
I just took a quiz and got it right
What are 3 macro nutrients
Answer:
proteins carbohydrates and fats
Explanation:
Answer:
Carbohydrates, Proteins, and Fats.
I will give brainliest if right
Which cell structure is thought to have arisen through an endosymbiosis in plant but not animal cells?
Choose 1 answer:
(Choice A) A Cell wall
(Choice B) B Mitochondria
(Choice C) C Chloroplast
(Choice D) D Ribosome
Answer:
chloroplast
Explanation:
Endosymbiosis theory explains the origin of chloroplast and mitochondria in the eukaryotic organisms.
When the pro-eukaryotes engulfed the blue-green algae or photosynthetic bacteria, these bacteria formed the symbiotic relationship with the pro-eukaryotes. These photosynthetic bacteria transformed into the chloroplast organelles of the eukaryotes which can capture the sunlight and use it in the synthesis of glucose molecules. These eukaryotic cells later formed the plant kingdom.
A car accelerates from a rest at -3 m/s2. What is the displacement after 4.7 sec?
a car starts from rest and drives at 45 m/s in 20 s. how far did it travel
Answer:
distance=speed×time.
45×20=900m.
The net external force on the propeller of a 3.32 kg model airplane is 23 N forward. What is the acceleration of the airplane?
Answer:
6.93 m/s^2
Explanation:
Given that the The net external force on the propeller of a 3.32 kg model airplane is 23 N forward
Where
Mass M = 3.32kg
Force F = 23 N
Force = mass × acceleration
Substitute all the parameters into the formula
23 = 3.32 × a
a = 23/3.32
a = 6.93 m/s^2
Therefore, the acceleration of the airplane is 6.93 m/s^2
Plz help me I will mark brainlieat Ques. Write down name and molecular formula of a
Compound which gives hydrogen ion and sulphate on
in solution state. In which colour is the methyl Orange
changed after treating with this compound? Why?
Write name of salt when the same compound is
treated with sodium hydroxide Write down chemical
equation
what are different type of plastids explain them?
Answer:
types of plastids
chloroplasts
chromoplasts
gerontoplasts
leucoplasts
Explanation:
ans
Choose the nonmetallic elements from the list. Check all that apply. yttrium oxygen boron polonium argon gallium carbon
Answer:
oxygen
argon
carbon
Explanation:
Answer:
B E G Oxygen Argon Carbon
Explanation:
What is the average speed of a car that traveled 222.0 miles in 4.596 hours?
Answer:
48.3mph
Explanation:
Given that
Distance = 222.0miles
Time = 4.596hours
Average speed = total distance/total time
= 222.0miles/4.596
= 48.3mph
Hence the average speed is 48.3mph
An ant crawled from a hole to the food. For the first 6
minutes, it travelled at an average speed of 15 m/min. For
the next 9 minutes, it travelled at an average speed of 10
m/min. What was the average speed of the whole journey?
m/min
Answer:12
Explanation:Average speed=Total Distance divided by Total Time.
Tell me about your experiences with science
Answer:
Well i once did an expiremnet and it exploaded in my face lol
Explanation:
Answer:
so good
Explanation:
perfect nice and explody too much