The thickness of the book is 10.40 mm thick.
The reason we learn math is to apply this to real life. We learn addition, subtraction, multiplication, division, and all other mathematical operation with the aim that we can use that in real-life problems. Given problem is one of the examples where we will use math in a real-life situation.
200 pages means that there are 100 papers.
1 paper = 0.1mm
So, 100 papers = 0.1* 100 = 10mm
There are two covers of 0.2mm each, therefore
Total thickness = 10 + 2*0.2
= 10 + 0.4
= 10.4 mm
Hence, thickness of the book is 10.40 mm thick.
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The thickness of the book is 10.40 mm thick.
Why we apply math in real life?Learning math is done so that you can use it in real-world situations. It is our intention to be able to use addition, subtraction, multiplication, division, and all other mathematical operations to solve problems that come up in daily life. The given problem is one of the situations where math will be used in a practical setting.
200 pages means that there are 100 papers.
1 paper = 0.1mm
So, 100 papers = 0.1* 100 = 10mm
There are two covers of 0.2mm each, therefore
Total thickness = 10 + 2*0.2
= 10 + 0.4
= 10.4 mm
Hence, thickness of the book is 10.40 mm thick.
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Lilly drove her car east for a total of 6 hours at a constant velocity. In one-third of that time, she drove 160 kilometers. What was her velocity?
Write your answer as a whole number.
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Answer: 160 km
Explanation:
Determine the amount of charge that has been passed if a 12W lamp that has a resistance of 270Ω has been run for 2.5 seconds.
Answer:
Explanation:
Given:
P = 12 W
R = 270 Ω
t = 2.5 s
____________
Q - ?
Power:
P = I²·R
Current strength:
I = √ (P / R) = √ (12 / 270) ≈ 0.21 A
Charge:
Q = I·t = 0.21·2.5 = 0,525 C
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Question
The basic concept of how a simple motor works is explained by which statement?
Answer:
The basic concept of how a simple motor works is that you put electricity into it at one end and an axle (metal rod) rotates at the other end giving you the power to drive a machine of some kind. The simple motors you see explained in science books are based on a piece of wire bent into a rectangular loop, which is suspended between the poles of a magnet. In order for a motor to run on AC, it requires two winding magnets that don’t touch. They move the motor through a phenomenon known as induction.
I hope this helps! Let me know if I'm wrong!
Explanation:
A skydiver, with a mass of 60 kg is falling at a velocity of 30 m/s. Calculate his kinetic energy.
Answer:
27000 J
Explanation:
BRAINLIEST TO GOOD ANSWER: In this case, what would the net force be if the static friction force is greater than the applied force?
There's no movement of the block but mathematically, technically the net force is in the direction of the friction force. Would I just write net force as 0 and cancel the static friction beyond the magnitude of the applied force?
The frictional force if greater than the applied force, then the movement of the block gets resisted against the applied force and the block does not undergo any displacement.
What is force?Force is an external agent actin on an object to change its motion or to deform it. There are various kinds of forces such as frictional force, gravitational force, magnetic force etc.
If two or more same or different forces acting on an object from the same side they will add up in magnitude. If two forces with same magnitude are acting from opposite direction of the object, then they will cancel each other and the net force will become zero. This situation is called the balanced force.
If two unequal force acts from opposite direction, the net force is the substracted value of their magnitudes and the situation is called unbalanced force.
Here, the frictional force if greater than the applied force, then the movement of the block gets resisted against the applied force and the block does not undergo any displacement.
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If the mass of the sun is 3x, at least one planet will fall into the habitable zone if I place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully.
When Earth is closer to the sun, there will be hotter climate. A little movement that takes one closer to the sun could lead to a huge impact.
Impact of the distance of the sun
If I put a planet in orbits 2, 6, and 75, all planets will orbit the sun successfully if the sun's mass is 1x, and at least one planet will fall inside the habitable zone.
If I put a planet in orbits 84, 1, and 5, at least one of them will fall into the habitable zone if the sun's mass is 2x, and all planets will orbit the sun successfully.
If I put a planet in orbits 672 and 7, at least one of them will fall into the habitable zone if the sun's mass is 3x, and all planets will orbit the sun successfully.
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After running, your friend lies down on the tile floor because he says the "coldness" of the tile transfers to his body and helps him cool down faster.
Is his statement correct? Explain your reasoning in complete sentences. Help please thank you
Energy floating hands with a constant chill. growing desire to resist the Führer Only after he had a difficult time recovering from his push-ups.
Which scenario best exemplifies convectional heat transfer?steaming water Heat from the flame travels into the saucepan when the water boils, warming the liquid at the bottom of the pan. As the hot water rises as well as the cooled water falls to replace it, a passed through ( transmitted is produced.
How can convection efficiently move heat?Thermal energy is transferred from heated to cool places by convection. Convection is the process by which warmer portions of a gas or liquid move toward cooler areas of the same liquid or gas. Then, cooler liquid or gas replaces the heated portions that have ascended higher.
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In Victoria, Road Safety Rule 141(2) states that, 'The rider of a bicycle or an electric scooter must not ride past, or overtake, to the left of a vehicle that is turning left and is giving a left change of direction signal.' Assume that a bike rider is not aware of the rule, and each day on their way to their new workplace, there is a probability of 0.01 of meeting a left turning vehicle, resulting in an incidence of forcing the vehicle to give way to them. (a) State assumptions, and derive the distribution of the number of days until they meet the first left turning vehicle. (b) What is the distribution of the number of days until they meet the second left turning vehicle? (c) What is the probability that there are at most 60 incidence free days till they meet the second left turning vehicle? (d) What is the probability that on the fifth day of the first week, they meet the second left turning vehicle? (e) Assume that the rider plans to work in the new job for five years with 1150 working days, find a suitable Poisson approximation to the distribution of the number X of days that they meet left turning vehicles in five years. (f) Let Y have the Poisson distribution in (e), use the Matlab to compute d=∑
i=0
[infinity]
∣P(X=i)−P(Y=i)∣ Report the value d and attach the Matlab commands here.
'
(a) State assumptions, and derive the distribution of the number of days]until they meet the first left turning vehicle.Given, the probability of meeting a left turning vehicle is 0.01 for each day. Let X be the number of incidence free days till they meet the first left turning vehicle.
Then, X follows a geometric distribution with parameter p = 0.01. The pmf of X is given by:
\(P(X = k) = (1 - p)^(k-1) * p\)
(b) What is the distribution of the number of days until they meet the second left turning vehicle?
Let Y be the number of days until they meet the second left turning vehicle.
Since each day is independent of each other, the distribution of Y is the same as that of X. That is, Y also follows a geometric distribution with parameter p = 0.01.
(c) The probability of at most 60 incidence free days till they meet the second left turning vehicle is given by:
\(P(Y ≤ 60) = 1 - P(Y > 60)\)
= 1 - (1 - 0.01)^60 =
1 - 0.3967 = 0.6033
(d) The probability that they meet the second left turning vehicle on the fifth day of the first week is given by:
P(Y = 5) = (1 - 0.01)^4 * 0.01
= 0.0096
(e) Find a suitable Poisson approximation to the distribution of the number X of days that they meet left turning vehicles in five years. Let X be the number of days that they meet left turning vehicles in 5 years. Then X follows a Poisson distribution with parameter
λ = 5 * 1150 * 0.01 = 57.5.
(f) Let Y have the Poisson distribution in
(e), use the Matlab to compute \(d=∑ i=0[infinity]∣P(X=i)−P(Y=i)\)
∣ Report the value d and attach the Matlab commands here.
Matlab code:lambda
= 57.5;
X = 1:150;
P_X = geopdf(X, 0.01);
P_Y = poisspdf(X, lambda);
d = sum(abs(P_X - P_Y));
d Value of d = 0.1339
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What are examples of Electrical Potential Energy
The resistance to the motion of an object is
Answer:
Inertia
Explanation:
Part of Newton's Laws of Motion
A roller coaster is stopped on a track. When the engineer presses a launch button on the coaster, the coaster moves forward. Explain this change in terms of balanced and unbalanced forces.
probability of breaking the branch increases when a person moves towards the end of branch of a tree.
plz answer this as soon as possible
Answer:
the torque on the joint at the main stem is increased as the person moves toward the end of the branch, as is the stress within the branch.
Explanation:
In general, a branch will break when its load limits are exceeded, and/or when the stress is applied at a rate that exceeds its ability to accommodate.
Two things happen when a person moves toward the end of a tree branch:
the torque on the branch joint is increased due to the increased moment armthe stress in the branch is increased because the branch gets smallerSo, if the branch doesn't break due to increased stress within the branch, the joint may fail due to its torque limit being exceeded as a person moves closer to the end.
__
From an engineering point of view, the stress limits constitute a threshold that will result in breakage with probability 1 when exceeded. When the limits are far above the applied stress, the probability of breakage is near 0. So, one could say the probability increases when the person approaches the end of the branch, since it goes from near 0 to 1.
A hiker walks 13.04 m at 38 degrees. What is the Y component of his displacement?
\(y = d \times sin \alpha \\ y = 13.04 \times sin3 \\ y \approx8.028 \: meters\)
Which name is given to the force that stretches the spring with a metal that weights it down
Answer:
gravity
Explanation:
ok what i understand from your query is that a spring balance with a metal piece attached to it is weighing it down, a spring balance is measured in newtons (f=ma), the acceleration part is gravity (-9.81 m/s^2). The metal piece is attached to the string.
hope this answers your question and please take my answer with a grain of salt and refer to some webpages or videos
A wave is traveling at a speed of 120 m/s and its wavelength is 4 m. Calculate the wave’s frequency and period.
HELP PLS
Answer:
See below
Explanation:
speed = wavelength * freq
120 = 4 * f
f = 30 Hz
period = 1/f = 1/30 periods per sec
Maria throws two stones from the top edge of a building with a speed of 20 m/s. She throws one straight down and the other straight up. The first one hits the street in a time t1. How much later is it before the second stone hits
Maria throws two stones from the top edge of a building at a speed of 20 m/s, The time is mathematically given as
t=4.5 sec.
How much later is it before the second stone hits?Generally, the equation for speed is mathematically given as
V = u+at
Therefore
0 = 22-9.8xt.
t = 22 /9.8 sec
t = 2.24489.
The same time will be taken from max^m height to point O
The extra time is taken
t=4.49 sec.
t=4.5 sec.
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of the following locations where do clocks run slowest? a. on the surface of a 2 solar mass neutron star. b. on the moon. c. on the surface of the sun.
Of the given locations, the clocks run slowest on the surface of a 2 solar mass neutron star.
Acceleration due to gravity on earth = 9.8 m / s²
Acceleration due to gravity on moon = 1.62 m / s²
Acceleration due to gravity on 2 solar mass neutron star = 19.6 * \(10^{11}\) m / s
Acceleration due to gravity is the force which an object in its gravitational field will experience.
Higher the the acceleration due to gravity, stronger will be the gravitational field. Stronger the gravitational field, slower the time will pass. Since g value on 2 solar mass neutron star is higher, gravitational field there will be stronger than Earth and the Moon.
Therefore, the clocks run slowest on the surface of a 2 solar mass neutron star.
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a cylindrical pulley with a mass of 7.4 kg, radius of 0.702 m and moment of inertia 1 2 m r2 is used to lower a bucket with a mass of 1.6 kg into a well. the bucket starts from rest and falls for 3.3 s. r m m what is the linear acceleration of the falling bucket? the acceleration of gravity is 9.8 m/s 2 . answer in units of m/s 2 .
A cylindrical pulley with a mass of 7.4 kg, radius of 0.702 m and moment of inertia 1 2 m r2 is used to lower a bucket with a mass of 1.6 kg into a well the linear acceleration of the falling bucket is 3.9174 m/s^2.
To find the linear acceleration of the falling bucket, we can use the equation for the motion of a falling object under the influence of gravity:
y = (1/2)gt^2
where y is the distance fallen, g is the acceleration due to gravity, and t is the time elapsed.
Since the bucket is attached to a pulley, its linear acceleration is related to the angular acceleration of the pulley, which can be found using the equation:
a = rα
where a is the linear acceleration of the bucket, r is the radius of the pulley, and α is the angular acceleration of the pulley.
The angular acceleration can be found using the equation:
τ = Iα
where τ is the torque applied to the pulley, and I is the moment of inertia of the pulley.
In this case, the torque is due to the weight of the bucket, so we have:
τ = mgy
where m is the mass of the bucket, g is the acceleration due to gravity, and y is the distance fallen.
Substituting in the given values, we have:
τ = (1.6 kg)(9.8 m/s^2)(0.702 m) = 10.9656 N·m
The moment of inertia of the pulley is given as 1/2mr^2, so we have:
I = (1/2)(7.4 kg)(0.702 m)^2 = 1.9663 kg·m^2
Using τ = Iα, we can solve for the angular acceleration:
α = τ/I = 10.9656 N·m / 1.9663 kg·m^2 = 5.5801 rad/s^2
Finally, we can use a = rα to find the linear acceleration of the bucket:
a = rα = (0.702 m)(5.5801 rad/s^2) = 3.9174 m/s^2
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What is the average speed of a car that traveled 300 meters in 5.5 seconds?
Answer: 54.55 m/s
Explanation:
Distance = 300 m
Time = 5.5 s
Average Speed = Total Distance/Total Time
= 300/5.5
= 54.55 m/s
Hope this helped..
what happens to the flow of energy into the Earth system.
Answer:
Explanation:
Energy is transferred from the sun to Earth via electromagnetic waves, or radiation. Most of the energy that passes through the upper atmosphere and reaches Earth's surface is in two forms, visible and infrared light. ... Once energy has been absorbed by the Earth system, it is transformed and transferred
The flow of energy when converted into the earth system is because of the transformation of energy.
Transformation of energy:The energy should be transferred from the sun to earth through electromagnetic waves, or radiation.
Many of the energy should be passed via the upper atmosphere and then reached the surface of the earth in two forms i.e. visible and infrared light.
In the case when the energy should be absorbed so it should be transformed and transferred.
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A 0.8 kg baseball bat moving at 12m/s collided head on with a .13 kg baseball traveling at -39 m/s. If the ball returns in the opposite direction at +13 m/s what is the resulting speed of the bat?
The baseball bat's actual velocity is -4.625 m/s, which indicates that it is travelling in the opposite direction at a speed of 4.625 m/s.
How quickly does a cricket ball leave the bat?The ball will bounce off the bat at a speed of around 20 km/h if the bat is held in a fixed position and a ball is launched at it at, say, 100 km/h.
The following is the equation for momentum conservation:
m1v1 + m2v2 = m1v1' + m2v2'
By entering the specified values, we obtain:
(0.8 kg)(12 m/s) + (0.13 kg)(-39 m/s) = (0.8 kg)(v1') + (0.13 kg)(13 m/s)
By finding v1', we obtain:
v1' = [(0.8 kg)(12 m/s) + (0.13 kg)(-39 m/s) - (0.13 kg)(13 m/s)] / (0.8 kg)
v1' = -4.625 m/s
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A solid wood door has dimension 2m X 0. 8m X 4cm and a thermal conductivity k of 0. 04 j. S-¹(c⁰)-¹. The inside air temperature is 20⁰cand the outside air temperature is -10⁰c what's the rate of heat flow through the door. Assuming the surface temperature are those of the surrounding air
The rate of heat flow through the door is 48 Joules per second (J/s).
To calculate the rate of heat flow through the door, we can use the formula for heat conduction:
Q/t = k * A * (T1 - T2) / d
where:
Q/t = rate of heat flow (J/s)
k = thermal conductivity (0.04 J/s°C)
A = area of the door (m²)
T1 = inside air temperature (20°C)
T2 = outside air temperature (-10°C)
d = thickness of the door (m)
First, let's find the area of the door:
A = length * width = 2m * 0.8m = 1.6 m²
Now, let's convert the door thickness from cm to m:
4cm = 4/100 = 0.04m
Next, plug the values into the formula:
Q/t = 0.04 J/s°C * 1.6 m² * (20°C - (-10°C)) / 0.04m
Now, simplify the equation:
Q/t = 0.04 J/s°C * 1.6 m² * 30°C / 0.04m
Q/t = 0.04 J/s°C * 1.6 m² * 30°C / 0.04m = 48 J/s
The rate of heat flow through the door is 48 Joules per second (J/s).
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Body language is (peer counseling)
the way you make words with your hands
the way you make words by nodding your head
the way you speak by blinking your eyes tightly
the way you speak with your entire body
Answer:
the way you speak with your entire body
Explanation:
Body language is the way you speak with your entire body. Therefore, the correct option is option D.
What is body language?Body language refers to a form of communications in which information is expressed or conveyed via bodily behaviors rather than words. Face expressions, body posture, movements, eye movement, touch, and use of space are examples of this type of behavior.
Although the phrase "body language" is typically used in reference to people, it can also be used in reference to animals. Kinesics, another name for the research of body language, is related. Although facial expression is a crucial component of communication, much of it occurs subconsciously. Body language is the way you speak with your entire body.
Therefore, the correct option is option D.
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what is the relation between distance and speed
by the formula
s=d/t
speed=distance/time
the bigger the distance that has been traveled over a period of time the bigger the speed
Speed = Distance / Time
If time is held constant, then speed is directly proportional to distance. If distance is held constant and time varies, then the speed is inversely proportional to the time taken.
rotational kinetic energy is analogous to linear kinetic energy with the mass replaced by ________
a. the moment of inertia
b. the density
c. the torque
d. the center of mass
e. the net mass
The correct answer is "the moment of inertia". Rotational kinetic energy refers to the energy of an object that is rotating around an axis, while linear kinetic energy refers to the energy of an object that is moving in a straight line.
In the case of rotational kinetic energy, the mass of the object is replaced by the moment of inertia, which takes into account the object's shape and distribution of mass around the axis of rotation. The moment of inertia determines how difficult it is to start or stop an object's rotation. Therefore, when calculating rotational kinetic energy, it is important to use the moment of inertia instead of the mass.
This allows us to accurately describe and analyze the behavior of rotating objects in various contexts. Rotational kinetic energy is analogous to linear kinetic energy, with the mass replaced by the moment of inertia (option a).
In linear motion, kinetic energy is given by the formula KE = 0.5 * m * v2, where m is the mass and v is the velocity. In rotational motion, kinetic energy is given by the formula KE_rotational = 0.5 * I * 2, where I is the moment of inertia and is the angular velocity.
The moment of inertia plays a similar role in rotational kinetic energy as mass does in linear kinetic energy, accounting for the distribution of mass around the axis of rotation and its resistance to changes in rotational motion.
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A current of 4. 75 A is going through a 5. 5 mH inductor is switched off. It takes 8. 47 ms for the current to stop flowing.
> What is the magnitude of the average induced emf, in volts, opposing the decrease of the current?
A current of 4.75 A is going through a 5.5 mH inductor is switched off. It takes 8.47 ms for the current to stop flowing. The average induced emf opposing the decrease of the current is approximately 26.125 volts.
To calculate the magnitude of the average induced electromotive force (emf) opposing the decrease of the current, we can use Faraday's law of electromagnetic induction.
Faraday's law states that the induced emf in an inductor is equal to the rate of change of magnetic flux through the inductor. Mathematically, it can be expressed as:
emf = -L * (di/dt)
Where:
emf is the induced emf (in volts)
L is the inductance of the inductor (in henries)
di/dt is the rate of change of current (in amperes per second)
Given:
Current (I) = 4.75 A
Inductance (L) = 5.5 mH = 5.5 x \(10^{-3}\) H
Time (t) = 8.47 ms = 8.47 x \(10^{-3}\)) s
To find di/dt, we need to calculate the change in current over time. Since the current is decreasing to zero, di will be the initial current minus the final current, and dt will be the time taken for the current to decrease.
Initial current (Iinitial) = 4.75 A
Final current (Ifinal) = 0 A
di = Iinitial - Ifinal = 4.75 A - 0 A = 4.75 A
dt = 8.47 x \(10^{-3}\) s
Now we can calculate the magnitude of the average induced emf:
emf = -L * (di/dt)
= - (5.5 x \(10^{-3}\) H) * (4.75 A / 8.47 x \(10^{-3}\) s)
Calculating the value:
emf = - (5.5 x \(10^{-3}\) H) * (4.75 A / 8.47 x \(10^{-3}\) s)
= - (5.5 x \(10^{-3}\)) H) * (4.75 A / 8.47 x \(10^{-3}\) s)
= - (5.5 x 4.75) V
= - 26.125 V
Taking the magnitude, the average induced emf opposing the decrease of the current is approximately 26.125 volts.
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Give three reasons why it’s important to give children opportunities to pretend play or have make-believe situations
Answer:
The first reason for children to have pretend play is that it allows the child to learn how to interact socially. The child is able to take turns, share responsibility, develop how people feel and react the situation. Another reason is that it helps the child develop their critical thinking skills. They may have to creatively solve a problem, or think what they may need in real life for the pretend play. It increases the child's ability to think through those types of situations. The final reason it is important for a child to have pretend play is that it helps develop their language skills. If the child is imitating a dad, mom, teacher, etc. they will attempt to use the same language that person uses. This helps the child connect new language abilities and skills.
Explanation:
Answer:
The top 3 reasons for encouraging children to pretend play and make-believe include:
1. To encourage imagination and creativity.
2. To support social and emotional development.
3. To improve language and communication skills.
when the load resistor is added, does increasing the clock frequency help restore the output voltage? explain why.
Answer:
When a load resistor is added to a digital circuit, increasing the clock frequency does not directly help restore the output voltage. The clock frequency determines the rate at which digital signals are processed and transmitted within a circuit but does not have a direct impact on the output voltage level.
The output voltage level of a digital circuit is primarily determined by the logic levels of the input signals and the characteristics of the circuit components, such as the power supply voltage and the voltage thresholds of the logic gates. The load resistor affects the voltage drop across it and the current flowing through the circuit, which can indirectly influence the output voltage level.
Explanation:
Adding a load resistor doesn't have any relation with the clock frequency in the context of digital circuits. Hence, increasing the clock frequency won't help restore the output voltage.
What is a resistor?
A resistor is an electrical component that opposes the flow of current. It is used to control the amount of current that flows in an electrical circuit. When a load resistor is added, it increases the resistance in the circuit and hence reduces the current flowing through the circuit.What is voltage?
Voltage, also known as potential difference, is the electric potential energy per unit charge. It is the energy required to move a unit charge from one point to another in an electric field. In other words, voltage is the force that drives the flow of current in a circuit.What happens when the load resistor is added?
When a load resistor is added, it increases the resistance in the circuit and hence reduces the current flowing through the circuit. This, in turn, leads to a drop in voltage across the load resistor. Therefore, the addition of a load resistor reduces the output voltage of the circuit.Does increasing the clock frequency help restore the output voltage?
Increasing the clock frequency doesn't have any direct relation with the output voltage of the circuit. The clock frequency is used to control the timing of operations in digital circuits. Hence, increasing the clock frequency won't help restore the output voltage.Learn more about voltage:
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If a brick has a density of 3.75g/mL and a mass of 20.25g, what is its volume
Answer:
5.4mL
Explanation:
20.25g divided by 3.75g/mL= 5.4mL
does heavy force work under conditions of weightlessness in such an artificial earth satellite?
Answer: That is to say, a satellite is an object upon which the only force is gravity. Once launched into orbit, the only force governing the motion of a satellite is the force of gravity. Newton was the first to theorize that a projectile launched with sufficient speed would actually orbit the earth.
Explanation: Because Earth-orbiting objects follow elliptical paths around Earth and not a straight line, forces cannot, by definition, be balanced. Force is directional. It is a push or a pull in a particular direction.