Answer:
The object's mass is 41.1125 kilograms.
Explanation:
We can use the general density equation to determine the mass.
Density Equation
[tex]p=\frac{m}{V}[/tex]
[tex]p[/tex] is the density
[tex]m[/tex] is the mass
[tex]V[/tex] is the volume
Lets solve for [tex]V[/tex].
Multiply both sides of the equation by [tex]V[/tex].
[tex]p*V=\frac{m}{V}*V[/tex]
Cancel out the common factor of [tex]V[/tex] on the right side.
[tex]pV=m\\m=pV[/tex]
Now we have an equation for mass.
We are given
[tex]p=3.25[/tex]
[tex]V=12.65[/tex]
Substituting our values into our equation gives us
[tex]m=3.25*12.65\\m=41.1125[/tex]
Notice the unit of the given density
[tex]kg/m[/tex]
Our answer will be in kilograms
You bought a can of apricot jam. The contents marked as: net weight: 500g and volume: 400ml is the statement correct?why? and what is the mass of the jam you bought? calculate the density of jam in g/cm
The statement is not correct the mass of the jam is 500g and the density of the jam is 0.125gm/cm³
How to calculate the density?The statement is not correct because mass and volume cannot be used together to describe the contents of a can. Mass is a measure of how much matter is in an object and volume is a measure of the amount of space taken up by an object. So, in this case, the can of apricot jam should just be marked with the net weight in grams.The mass of the jam you bought is 500g.To calculate the density of the jam, we need to divide the mass by the volume. The density of the jam is 500g/400ml = 1.25g/ml. To put this in g/cm3, we need to divide the density by 1000, which gives us 1.25g/ml = 0.125g/cm3.To learn more about density refer to:
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A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame?
(Neglect any friction betweem the wall and the picture fame)
The angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰.
By using the parallelogram law of vector addition, it is possible to calculate the angle between the two wires.
a² + b² - 2abcosθ = R²
Where;
R = is the outcome vector = the frame's weight ⇒ W
Angle between the two wires equals 0.75W for the first wire's tension and 0.75W for the second wire's tension.
(0.75W)² + (0.75W)² - 2(0.75W x 0.75W) cosθ = W²
1.125W² - 1.125W² cosθ = W²
= 1.125W²(1 - cosθ)
W²/1.125W² = 1 - cosθ
0.8889 = 1 - cosθ
cosθ = 1 - 0.8889
cos θ = 0.1111
θ = arc cos(0.1111)
θ = 83.6⁰
So, the angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰
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Ball A has a mass of 3 kg and moves at a velocity of 2 m/s. Ball B has a mass of 1 kg and rolls towards Ball A with a velocity of -4 m/s. After the collision, Ball A has a velocity of -1.5 m/s. What is the velocity of ball B after the collision?
Please show your work.
The velocity of ball B after the collision is 6.5 m/s.
What is law of conservation of momentum?According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced.
Before collision ,
ball A of mass of 3 kg has velocity = 2 m/s.
ball B of mass of 1 kg has velocity= -4 m/s.
After the collision,
Ball A has a velocity = -1.5 m/s.
Let Ball B has a velocity = v m/s.
Applying law of conservation of momentum,
Total initial momentum = total final momentum
3×2 +1×-4 = 3×-1.5 + 1×v
⇒ v = 3×2 +1×-4 - 3×-1.5
⇒ v = 6.5 m/s.
hence, the velocity of ball B after the collision is 6.5 m/s.
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Two students have volunteered to explore the galaxy in a spaceship. As they travel through space, they measure the magnitude of the gravitational force between their spaceship and the earth they find that the gravitational force on the spaceship is-
The gravitational pull on the spacecraft is discovered to be inversely proportional to the distance from the Earth.
If the gap were cut in half, the gravitational attraction would be more powerful. According to Coulomb's rule, the gravitational force between any two things in the universe is inversely proportional to the sum of their respective masses.
The gravitational force between two things in the cosmos is calculated as being inversely proportional to their distance from one another. Gravity is the force that holds two bodies together, body present or not.
A force that is directly inversely correlated to the square of the distance between bodies and directly inversely correlated to their product draws every body in the universe toward every other body.
Thus , Inversely related to the separation from the Earth.
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Is torque R * F or F * R?
Answer:
R*F
Explanation:
Help!!!!!
Question answer in the photo
Answer: D
Explanation:
The wind will begin to blow the sediments of the arch away, causing the arched structure to become thinner over time. Therefore, the best answer is option D.
Why momentum is denoted by P?
It's unknown where the term "p" for momentum first appeared. Since m had already been used for "mass," it has been proposed that the p may have been derived from the Latin petere or from "progress".
Why is momentum given the letter p?The letter "I" would cause a misunderstanding between inertia and moment of inertia. The French and Germans selected "p" for momentum because of this.
What does the momentum unit p mean?The formula p = mv can be used to compute momentum, where p stands for momentum, m for mass, and v for velocity. The usage of the letter p to represent momentum has various benefits. First off, it would be unclear to use m for momentum because m stand for mass.
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A body of mass 3kg is dropped from a tower of height 250m. then its kinetic energy after 3 seconds will be
Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.
Explanation:
Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.
After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J
This is the kinetic energy of the body after 3 seconds of falling.
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On a cold winter night, a story comes on the news at stations across the northern part of Florida recommending that residents turn on their outside faucets to allow a slow drip of water. Why would that be recommended?
a-It keeps the ground from drying out.
b-It protects the water from shrinking in the pipes.
c-It stops the water from getting too salty.
d-It prevents the water from bursting the pipes.
On a cold winter night, a story comes on the news at stations across the northern part of Florida recommending that residents turn on their outside faucets to allow a slow drip of water. It would that be recommended because it prevents the water from bursting the pipes.
Option D is correct.
How do we prevent freezing pipes during freezing temperatures?During freezing temperatures, one of the things that you can do in order to prevent water from freezing and bursting the pipes is to run your faucet because running water does not freeze as easily as standing water, so letting it drip overnight will help.
The body faces the effects when subjected to freezing temperatures as it the body begins to lose heat faster than it can be produced. Prolonged exposure to cold will eventually use up your body's stored energy. The result is hypothermia, or abnormally low body temperature.
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To tighten a loose screw, a torque of 90 N.m must be applied. A wrench that is 30cm long is used to tighten it. Find the minimum force needed
The minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.
What is force?
Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.
To find the minimum force needed to tighten the loose screw, we can use the equation:
F = T / r
where F is the force, T is the torque (90 N.m in this case), and r is the distance from the center of the screw to the point where the force is applied (the length of the wrench, 30 cm in this case).
We need to convert the length of the wrench from cm to meters before calculating the force:
r = 30 cm / 100 cm/m = 0.3 m
Now we can plug in the values into the equation and find the force:
F = 90 N.m / 0.3 m = 300 N
So the minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.
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If an electric heater is rated at 15,000 W, and the voltage used is 240 V, what size breaker in amps would be required
The current required by the electric heater which has the power of 15,000 W is 62.5 A
The power of the heater = 15,000 W
The voltage used by the heater = 240 V
The current required by the electric heater can be found using the formula,
P = VI
where P is the power of the electric heater
V is the voltage used by the electric heater
I is the current required by the electric heater
Let us rearrange the above equation in order to get the current required by the heater is
I = P/V
Let us substitute the known values in the above equation, we get
I = 15,000 / 240
= 62.5 A
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Fossils of the same life form species have been found on continents that are now divided by oceans. In one to two sentences, explain how this could be possible if a supercontinent did not exist. Explain Simply. Pls hurry
Answer:
This could be possible if the continents were once connected and then separated by plate tectonics, allowing the same species to spread across the land before it was divided by oceans.
Explanation:
This isn't a Physics question, do check your category before posting next time
The measurement of how far the particles are pushed from their _______________ is called amplification.
Amplification is the term used to describe how far the particles are pushed from their initial position.
Is it a measurement of how closely or widely spaced away the particles are in a given area?How closely molecules are packed together is determined by density. Because air is a gas, its molecules may either pack closely or spread widely. Higher up, less air is pressing down from above, and gravity is less away from the center of the Earth.
Sound is it longitudinal?Longitudinal waves are what makeup sound. Compressions and rarefactions are also present in longitudinal waves when they pass through any given material. When particles travel in close proximity to one another, compression occurs, generating areas of intense pressure.
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SOMEONE PLS HELP ME ITS DUE TOMORROW
Answer:
1) -5 N, Left
2) 14 N, Up
3) 13, Right
4) 10, Right
5) 22, Down
6) 9, Left
Explanation:
IF: Left or Down, then Negative
1) 15+15=30
Left= 30
Right= 25
30-25=5
30>25
2) 60+10=70
Down= 70
84-70= 14
70<84
3) Left= 62
75-62= 13
The following nuclei are observed to decay by emitting an α particle: 21284Po and 23994Pu.
Part A
Write out the decay process for 21284Po.
Express your answer as a nuclear equation.
Part B
Determine the energy released in this reaction. Be sure to take into account the mass of the electrons associated with the neutral atoms.
Express your answer using three significant figures.
E = MeV
Part C
Write out the decay process for 23994Pu.
Express your answer as a nuclear equation.
Part D
Determine the energy released in this reaction.
Express your answer using three significant figures.
E = MeV
The mass of the electrons associated with the neutral atoms must also be taken into account.
Part A
21284Po → 20880Pb + 4He
Part B
E = 13.9 MeV
Part C
23994Pu → 23592U + 4He
Part D
E = 16.2 MeV
For Part A and C, the nuclear equations of the decay process are determined by subtracting the mass number of the products from the mass number of the reactants. The mass number of the reactants is the sum of the mass number of the parent nucleus and 4 for the alpha particle.
For Part B and D, the energy released in the reaction is determined by subtracting the mass of the products from the mass of the reactants and converting to energy using the equation E = mc2. The masses of the reactants and products are found using the atomic masses listed in the periodic table. The mass of the electrons associated with the neutral atoms must also be taken into account.
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A particle travels at a constant speed of 19.0 m / s in a circular path of radius 954.9 cm. How many turns (revolutions) does the particle make in 1 minute
The 10/π ms² turns (revolutions) the particle make in 1 minute.
What is revolution ?Whereas rotation involves travelling around the axis, occurs when one body moves around another. As an illustration, the Moon orbits the Earth, and the Earth revolves around the Sun.
What is particle ?Paul Dirac and other researchers found that the concept could be applied to electrons and everything else in addition to photons, the unit of light called a quanta: Particles are thought to be excitations of quantum fields that are present throughout space, according to quantum field theory.
When the particle completes half revolution change in velocity
Δv=[5−(−5)]m/s=10m/s
Time taken to complete the half revolution is
t = πr/ v
= π *5 / 5
= πs
Thus, average acceleration = Δv / t
= 10/π ms²
Therefore, the 10/π ms² urns (revolutions) does the particle make in 1 minute.
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Stern observed all of the following results EXCEPT _______ in his experiment. A. one of the recombinant phenotypes was associated with an X chromosome of normal length B-the number of car, B. male offspring was roughly equal to the number of car+, B male offspring C. the number of males was roughly equal to the number of females D. offspring with red, round eyes resulted from fertilization of eggs containing recombinant X chromosomes
The number of males was roughly equal to the number of females: Stern observed all of the following results EXCEPT _______ in his experiment.
What is experiment?
The Stern-Gerlach experiment (also known as the Stern-Gerlach experiment or the Stern-Gerlach magneto-optical experiment) was a landmark experiment in the early 20th century that demonstrated the inherent quantization of atomic-scale systems. It was conducted in 1922 by Otto Stern and Walther Gerlach in Germany.
The experiment showed that when a beam of silver atoms was passed through a non-uniform magnetic field, the beam split into two separate beams travelling in different directions. This showed that the silver atoms had two possible orientations of their magnetic dipole moment, which could only take on two discrete values. This phenomenon is now known as the Stern-Gerlach effect and is a fundamental part of quantum mechanics.
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1. Ivan pulls a sled loaded with logs to his cabin in the woods. He pullsutbiq si
with a force of 800 N at an angle of 20° above the ground.
a. Draw a free-body diagram of the 4 major forces acting on the
sled. Label each force appropriately.
The four major forces acting on the sled and the free-body diagram of the 4 major forces acting on the sled is attached below:
The force of gravity pulling down on the sled and logs (labeled as "Fgrav").The force of friction acting against the sled's movement (labeled as "Ffrict").The force of Ivan pulling the sled (labeled as "Fpull").The force of normal acting on the sled (labeled as "Fnorm").What is a free body diagram?In physics and engineering, a free body diagram (FBD; also called a force diagram) is a graphical representation used to visualize the forces, moments, and resulting reactions applied to a body in a given state. expression. It represents a body or connected bodies that includes all applied forces, moments, and reactions acting on the body. A body can consist of several internal elements (such as a truss), or it can be a compact body (such as a beam). A series of free-body and other diagrams may be required to solve complex problems. A free body diagram consists of:
A simplified version of the body (often a period or box).Forces are represented as straight arrows pointing in the direction they act on an object.A moment is represented as a curve with a single arrow or as a vector with two arrows pointing in the direction acting on the body.One or more reference coordinate systems.Responses to applied forces are usually indicated by dashes through the stem of the vector.To know more about free body diagram, visit:
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If energy density is the amount of energy per unit mass, which of the following statements must be true?
A) NiCd batteries have a higher energy density than lead storage batteries
B) Lead storage batteries produce less energy than NiCd batteries
C) NiCd batteries produce more electrons per mole of metal than lead storage batteries
D) Both lead storage and NiCd batteries have the same energy density
If the energy density is the amount of energy per unit mass, then the true statement is A: "NiCd batteries have a higher energy density than lead storage batteries".
One of the advantages of NiCd batteries is that NiCd batteries have a higher energy-to-weight ratio in comparison to lead storage batteries. Even though lead-storage batteries have a higher E°cell, but NiCd batteries have more energy per unit mass and are smaller in size. Therefore, it is sated that NiCd batteries have a higher energy density.
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The Endocrine System
The body is made up of several systems of
that work together to
life. The endocrine
system is one of these.
make up most of the
endocrine system, which is found in the entire body, and the
These glands secrete
that regulate
bodily
and reactions. Hormones are
that tell certain
of the body to do
certain things.
for example, tells the body that
there is a need for physical activity, which is why we feel
while running, dancing, or playing sports.
Hormones are substances that communicate with your organs, skin, muscles, and other tissues through your blood to coordinate various bodily functions.
What are the skin's primary purposes?It serves as a sensory organ (touch, temperature detection), aids in temperature control, protects against mechanical, thermal, and physical injury as well as hazardous substances, prevents moisture loss, reduces the harmful effects of UV radiation, has an immune system that can detect diseases, etc.
The six primary functions of the skin are: protection, absorption, excretion, secretion, regulation, and sensation.
Our first line of defence against harmful chemicals, radiation, and poisons is our skin.
The outside world is kept at bay by a skin barrier. is the first line of defence against potentially harmful microbes.
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Can you help me please for exercise 2.
In the film Alone on Mars, Mark Watney faints in the rocket responsible for bringing him back to the ship
major. His colleague comments: “He has just taken 13 g, give him two minutes”. Before
going on an expedition, astronauts are prepared to undergo strong accelerations, commonly
quantified in g. On Earth, when a rocket "goes up to 1 g", it means that its speed increases by 10
meters per second, in one second.
The positions successively occupied by Mark have been represented. The duration separating
each position is equal to 0.50 seconds.
+M.
1) Calculate the values of the speeds vo
and go.
2) Prove that the variation of the
speed between times t. and t4 is:
AV = VA - VO = 260 m.s-1
3) What is the time interval At
separating position to and tA?
4) The acceleration 'a' is given by the
formula a = :
If, calculate the acceleration of
Mark between the M. and MA positions
Compare this acceleration with the
g-value. The sentence "He has just
take 13 g»>, it seems to you
correct?
Exercise 3: movement of the Moon (5
pt)
The Moon, the only natural satellite of the
Earth, is in orbit around it
for billions of years. Four
times smaller than the Earth, it puts.
The velocity, time and acceleration motion of Mark Watney rocket as he moves from M₀ to M₄ is described as follows;
1) v₀ = initial velocity = u
v₄ = u + 260 m/s
2) Δv = u + 260 m/s - u = 260 m/s
3) Δt = 2 seconds
4) Mark's acceleration is 13·g
What is motion under acceleration?Acceleration is the rate of change of velocity. Motion under a constant acceleration is one in which the velocity of the object changes as time changes.
The scale of the graph is 5 units = 46 meters
The distance between M₀ and M₄ = 25.5 units
1 unit = 46/5 meters/unit
25.5 units = (46/5) m/unit × 25.5 units = 234.6 meters
The time between M₀ and M₄ = 0.5 s × 4 = 2 s
= 25.5 unit × 0.5 s/unit = 12.75 s
The speed at M₄, v₄ =
The location of M₀ = 0
The location of M₄ =
The values of the speeds are;
The distance be
1) The time at M₀, t₀ = 0
The time at t₄ = 2 s
The speed, v = u + a·t
Where;
u = The initial velocity of the rocket
a = The acceleration = 13·g = 13 × 10 m/s² = 130 m/s²
The speed at v₀ = u + 130 m/s² × 0 s = u
The speed at v₄ = u + 130 m/s² × 2 s = 260 m/s2) The variation of the speed between v₄ and v₀, Δv, is found as follows;
Δv = v₄ - v₀
Therefore;
Δv = 260 m/s - 0 m/s = 260 m/s3) The number of change in position from M₀ to M₄ is found as follows;
M₀ to M₁M₁ to M₂M₂ to M₃M₃ to M₄The number of 0.5 seconds between M₀ and M₄ = 4
The time difference between t₀ and t₄ is therefore;
Δt = t₄ - t₀ = 2 seconds4) The formula for the acceleration is; [tex]a = \dfrac{\Delta v}{\Delta t}[/tex]
Therefore, the acceleration between positions M₀ and M₄ is found as follows;
The speed at M₀ = u
Speed at M₄ = u + 260 m/s
t₄ - t₀ = 2 seconds
[tex]a = \dfrac{u+260 \, m/s - u}{2\, s} = 130\, m/s^2[/tex]
The value of the acceleration due to gravity, g ≈ 10 m/s²
Therefore, a = 13·g
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What did Galileo discover when he dropped two cannon balls into f different weights from the leaning tower of pisa
Answer: The time it took for them to fall ere the same.
Explanation:
The only difference was because of resistance, weight doesn't affect the speed of gravity, the speed of gravity stays the same (9.801 meters per second)
An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.
The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.
An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.
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5. Is the motion of the stars around Polaris (NCP) due to the __________rotation (daily motion) or ___________revolution (yearly motion) of Earth
The motion of the stars around Polaris (NCP) is due to rotation (daily motion) of Earth.
Polaris is a star in Ursa Minor's northern circumpolar constellation. It is known as Ursae Minoris and is also known as the North Star or Pole Star. With an apparent brightness of roughly 1.98, it is the brightest star in the constellation and may be seen with the bare eyes at night. The star's location is less than one degree from the north celestial pole, making it the current northern pole star. The star's constant location in the Northern Sky makes it ideal for navigation.
Its distance is considered as part of the cosmic distance ladder since it is the nearest Cepheid variable. The updated Hipparcos stellar parallax distance to Polaris is approximately 433 light-years (133 parsecs), whereas the successor mission Gaia distance is around 448 light-years (137 parsecs). Other techniques of calculation produce significantly disparate results.
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A new planet is discovered with a radius that is 1/2 the radius of earth and 1/2 the mass of the earth. What is the acceleration due to gravity on this planet?
The acceleration due to gravity on this planet is 19.6 m/s².
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration of all other motions.
What is gravity?
In mechanics, gravity also known as gravitation is the constant force of attraction that pulls all things together. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.
Calculation:
The acceleration due to gravity on the earth's surface is given by
g = [tex]\frac{GM}{R^{2} }[/tex]
Now, Mp = [tex]\frac{M}{2}[/tex], Rp = [tex]\frac{R}{2}[/tex]
The acceleration due to gravity on the new planet is:
[tex]g_{p}[/tex] = [tex]\frac{GM_{p} }{R_{p} ^{2} }[/tex] = [tex]\frac{GM/2}{R^{2} /4^{} }[/tex] = 2g
[tex]g_{p}[/tex] = 2 × 9.8 = 19.6 m/s².
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The chord of a circle of radius 5 cm subtends a right angle at its centre. Find the length of the chord (in cm).
The length of the chord of the circle in cm will be equal to 7.07cm.
A chord can be defined as that line segment which joins any two points on the circumference of a circle. The chord of a particular circle is subtending a 90° angle at its center. The radius of the circle is OA = OB =5cm.
To find the length of the chord AB, we use the Pythagorean Theorem
OA² + OB² = AB²
⇒ 5² + 5² = AB²
⇒ AB = √50 = 7.07 cm
The length of the chord AB is equal to 7.07cm.
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When a rubber rod is rubbed with wool, the rod becomes negatively charged. What can you conclude about the magnitude of the wool's charge after the rubbing process
The wool must start out negatively charged before becoming positively charged after donating its electrons to the rubber rod.
What happens when wool is rubbed on a rubber rod?A rubber rod becomes negatively charged when wool is brushed against it, and the magnitude of the charge on the wool is equal to the charge on the rod. By applying the same amount of negative charge to the rod, the wool becomes positively charged.
Why does a polythene rod become negatively charged when it is brushed against wool?Electrons generate energy while rubbing a polythene rod with a duster because of the friction. When they have enough energy, electrons can escape from an atom and "rub off" onto a polythene rod.
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How electrostatic induction differ from charging by friction
Explanation:
Electrostatic is a force between two non-conductors
while
Friction oppose the relative motion between two surface or object.
A microscope slide of the letter "p" is placed on the microscope stage so that it is oriented right side up with respect to the student using the microscope. What will the letter resemble when she observes the letter through the microscope?
On the microscope slide, a specimen will appear upside-down and facing left while it is actually right-side up and facing right.
What is the orientation of a microscope?The orientation of the specimen image is reversed when viewed via a microscope compared to the orientation of the actual specimen. As a result, when viewed under a microscope, the specimen will appear to be upside-down and backwards.
Coarse Adjustment Knob: To concentrate the specimen, the coarse adjustment knob, which is placed on the microscope's arm, raises and lowers the stage. With just a partial turn of the adjustment knob, the gearing system creates a significant vertical movement of the stage.
Condenser-Objective lens-Body tube-Eyepiece is the proper order for the flow of light in a compound microscope.
Use two hands at all times when moving your microscope. Lift the scope while encircling the arm with one hand.
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3. Calculate the mass in the following scenarios (g-9.81 N/kg):
a) 1000 J and 10 m
b) 1250 J and 1 m
d) 1550 J and 0.02 m
e) 8900 J and 215 m
g) 98 J and 59 kg
h) 750 J and 0.75 m
c) 1.25 kJ and 90 m
f) 90 J and 1250 m
i) 5 kJ and 980 m
Hello there!
Formula: A = F * S = mg * S
So m = A/gS
a) m = 1000 J/(9.81 N/kg * 10 m) ≈ 10.194 kg
b) m = 1250 J/(9.81 N/kg * 1 m) ≈ 127.41 kg
d) m = 1000 J/(9.81 N/kg * 10 m) ≈ 7900.1 kg
e) m = 8900 J/(9.81 N/kg * 215 m) ≈ 4.22 kg
g) m = 98 J/(9.81 N/kg * 59m) ≈ 0.17 kg
h) m = 750 J/(9.81 N/kg * 0.75 m) ≈ 101.94 kg
c) m = 1.25 kJ/(9.81 N/kg * 90 m) = 1250 J/(9.81 N/kg * 90 m) ≈ 1.42 kg
f) m = 90 J/(9.81 N/kg * 1250 m) ≈ 0.007339 kg = 7.339 g
i) m = 5 kJ/(9.81 N/kg * 980 m) = 5000 J/(9.81 N/kg * 980 m) ≈ 0.52 kg