Magnitude of electric field at the midpoint between the charges: 1.48 x 10⁴ N/C.
Direction of electric field is from positive to negative charge.(b) Magnitude of force experienced by either charge: 4.47 x 10⁻⁴ N.Direction of force is towards the opposite charge.Solution:
(a)Magnitude of electric field due to a point charge:$$E = \frac{1}{4\pi\epsilon_0}\cdot\frac{q}{r^2}$$Where q = charge, r = distance from charge and ε₀ = permittivity of free space.
The given charges are equal and opposite, hence the net charge is 0. The midpoint between the charges is at a distance of 15.2/2 = 7.6 cm = 0.076 m from either charge.
Magnitude of electric field at the midpoint, E₁ = E₂ = $$\frac{1}{4\pi\epsilon_0}\cdot\frac{1.88 \times 10^{-7}}{(0.076)^2}$$= 1.48 x 10⁴ N/C.The direction of electric field at the midpoint is from positive to negative charge.
(b)Magnitude of force experienced by either charge, F = qE = (1.88 x 10⁻⁷)(1.48 x 10⁴) N= 4.47 x 10⁻⁴ N.The direction of force is towards the opposite charge.
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The density of a certain type of glass is 25g/cm3. A piece of the glass has a mass of 125g. Calculate its volume
Given:-
Density = 25 g/cm³Mass = 125 gTo be calculated:-
Calculate its volume.
Formula used:-
Density = Mass/volume
=> 25 = 125/Volume
=> Volume = 125/25
=> Volume = 5 cm³
Sugar dissolved in water is an example of?
A. Precipitate
B. Molecule
C. Compound
D. Solution
Answer:
D. Solution
Explanation:
Sugar dissolved in water is an example of solution.
A solution is a homogenous mixture of solutes and solvents.
In a solution the solute particles ae distributed uniformly in the solvents. The solute is the substance and it is the sugar here that is dissolved to make a solution.
The solvent is the water in this instance that helps to dissolve the solute.
Answer:
D. Solution
Explanation:
Dissolving sugar in water is an example of a physical change. Here's why:
A chemical change produces new chemical products. In order for sugar in water to be a chemical change, something new would need to result.
An airplane is flying at 200 m/s at an angle of 30° north of east. How fast is the
plane flying North?
a) While riding a chair life to the top of a hill, a 54.8
kg skier gains a total of 4.22 x 10^5 J of gravitational
potential energy. Calculate the vertical distance the skier has traveled.
Vertical distance from the point of observation on the Earth's surface to the point being measured. Altitude: Vertical distance from mean sea level to the point being measured.
What is the formula of vertical distance?To calculate vertical distance, square the total distance, subtract the square of the horizontal distance from that result, then take the square root of this number.Gravitational potential energy is the energy possessed by a falling object due to virtue of its position.And we can think of the vertical distance as the change in and the horizontal distance as the change in . So, by the end of this lesson, what we hope you'll be able to do is find the horizontal or vertical distance between two points on the coordinate plane and find side lengths of shapes in the coordinate plane.All vertical lines are in the form x=a, where a is the x-intercept. To find the distance between two vertical lines, count the squares between the two lines. You can use this method for horizontal lines as well. All horizontal lines are in the form y=b, where b is the y-intercept.
gravitational potential energy = mass * acceleration due to gravity * height
gravitational potential energy = 55 * 9.8 * 370
gravitational potential energy = 539 * 370
gravitational potential energy = 199,430
Hence the total change in the skier's gravitational potential energy is 199,430Joules.
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2. A bar magnet is divided in two pieces . Which of the following statements is true about the force between the broken pieces if they face each other with a small separation ? A. There is an electric repulsive force between the broken pieces B. There is an electric attractive force between the broken pieces C. There is a magnetic repulsive force between the broken pieces D. There is a magnetic attractive force between the broken pieces .
Two cars are traveling towards one another. The VW Bug has a mass of 457 kg and its initial velocity is -17 m/s. The compact car has a mass of 801 kg and an initial velocity of 26 m/s. They collide and stick together. How fast does the wreckage move immediately after the collision?
The initial velocities and masses of two cars are given. the wreckage moves at a speed of 9.08 m/s immediately after the collision.
The velocity of the VW Bug is negative, while the velocity of the compact car is positive. After they collide, they stick together. We need to calculate the speed of the wreckage immediately after the collision.Using conservation of momentum, the sum of the momentum of the two cars before the collision should be equal to the sum of the momentum of the wreckage after the collision. Mathematically, this can be written as:m1v1 + m2v2 = (m1 + m2)vAfter substituting the given values, we get: 457(-17) + 801(26) = (457 + 801)vSolving this equation, we get:v = 9.08 m/sTherefore, the wreckage moves at a speed of 9.08 m/s immediately after the collision.
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How much kinetic energy does a 55 kg object have that is traveling 20m/s?
Answer:
11000 J
Explanation:
Apply the formula: K = 1/2.m.v²
K = 1/2.55.20²
K = 1/2.55.400
K = 55.200
K = 11000 Joules
What distinction is made between triglycerides and carbohydrates or proteins?
A.
Triglycerides store less energy than carbohydrates or proteins.
B.
Carbohydrates and proteins are unlikely to cause heart disease, but triglycerides do.
C.
Carbohydrates and proteins are more important to a healthy life than triglycerides.
D.
Triglycerides store more energy than carbohydrates or proteins.
Answer:
C.
Carbohydrates and proteins are more important to a healthy life than triglycerides.
Sorry if it wrong.
Explanation:
Given: NM 1 XZ
Prove: AXYZ- ANYM
N
Try 11
X
Z
M
We know that side NM is
to side
XZ. If we consider side NY the transversal for these
parallel lines, we create angle pairs. Using the
we can state
that YXZ is congruent to YNM. We know that angle
XYZ is congruent to angle
by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
F
The prove of Angle XYZ- Angle NYM is given below:
∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.What is the triangle about?Note that from the image given;
NM // XZNY = transversal line∠YXZ ≡ ∠YNMSince ∠XYZ is said to be congruent to ∠NYM it can be proven by the use of the reflexive property.
The reflexive property is one that informs that any shape is regarded congruent to itself.
Since ∠NYM has a different way to call ∠XYZ that uses a different vertexes, but the sides are made up of the two angles which are said to be the same.
Therefore , ∠XYZ ≡ ∠NYM are proved by the reflexive property.
Since ΔXYZ is the same with Δ NYM, it can be proven by the AA (angle-angle) similarity theorem.
We have 2 angles Δ XYZ and Δ NYM:
Note that ∠YXZ ≡ ∠YNM
∠XYZ ≡ ∠NYM
So, ΔXYZ is said to be the same to ΔNYM and it is proven by the AA similarity theorem.
Therefore, The prove of Angle XYZ- Angle NYM is given below:
∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.Learn more about triangles from
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Answer:
1. parrael
2. corresponding angles theorem
3. NYM
4. AA
Explanation:
just took it
Which accident will be more damaging, collision between two trucks
moving with a speed 50 km/hr or collision between two cars moving with a speed of 50 km/hr? Explain.
Answer:
collision between truck
Explanation:
Answer. Collision between trucks, because more is the mass, more is the inertia and therefore more is the momentum. Mass of the trucks is more than that of cars so collision of trucks will cause more damage.
mass of a body is 10 kg what does it mean
Answer:
Explanation:
MASS of a body indicates the quantity or amount of matter contained in it.S.I, unit of mass is kg
1. Two 500 g point masses are rotating on a light frame at a radius of 0.1 m from a vertical axis. The angular speed of the system is 20 rad s-1. a a) What is the moment of inertia of the system about the axis? b) What is the angular momentum of the system about the axis? c) If the masses were pulled into a radius of 0.05 m by an internal radial force, what would the angular momentum of the system now be? d) What is the new angular speed of each mass? e) By how much did the energy of the masses change?
(a) The moment of inertia of the system about the axis can be calculated using the formula for the moment of inertia of a point mass rotating about an axis.
(b) The angular momentum of the system about the axis can be determined by multiplying the moment of inertia by the angular speed.
(c) If the masses are pulled into a smaller radius, the moment of inertia will change, resulting in a new angular momentum for the system.
(d) The new angular speed of each mass can be calculated using the principle of conservation of angular momentum.
(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system.
(a) To calculate the moment of inertia of the system about the axis, we consider the two point masses rotating at a given radius. The moment of inertia for each point mass is given by the formula I = m * r², where m is the mass and r is the radius.
Since there are two masses, we can calculate the total moment of inertia by summing the individual moments of inertia.
(b) The angular momentum of the system is determined by multiplying the moment of inertia by the angular speed. Using the formula L = I * ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular speed, we can find the angular momentum of the system.
(c) If the masses are pulled into a smaller radius, the moment of inertia will change. We can calculate the new moment of inertia using the same formula as in (a) but with the new radius. With the new moment of inertia, we can determine the new angular momentum of the system.
(d) To find the new angular speed of each mass, we apply the principle of conservation of angular momentum. The initial angular momentum of the system is equal to the final angular momentum. By rearranging the equation L = I * ω and solving for ω, we can calculate the new angular speed.
(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system. The initial kinetic energy is given by (1/2) * I * ω², where I is the initial moment of inertia and ω is the initial angular speed.
Similarly, the final kinetic energy can be calculated using the new moment of inertia and angular speed. The difference between the initial and final kinetic energies represents the change in energy of the masses.
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There is not really a subject for this but, Theoretically, What black hole would be bigger, m87 aka Messier 87 or Ton 618 aka Tonantzintla 618. Although Messier 87 was the first picture of one, what would the size still be of Tonantzintla 618 I would like to know what you think
The event horizon is directly related to the mass of the black hole, with larger black holes having larger event horizons.
What is Black Hole?
A black hole is an astronomical object that has collapsed to such a small size that its gravitational pull is so strong that nothing, not even light, can escape it. Black holes are formed from the remnants of massive stars that have run out of fuel and undergone a catastrophic collapse, or from the merging of two or more smaller black holes.
M87 and Ton 618 are both supermassive black holes, with masses estimated to be around 6.5 billion and 66 billion times the mass of the Sun, respectively. However, the size of their event horizons would depend not only on their mass but also on their spin and the density of the surrounding matter. It is therefore not possible to predict which black hole would be bigger without additional data and calculations.
It is worth noting that the first image of a black hole that was released in 2019 was actually an image of the event horizon of the black hole in M87, not the black hole itself. The event horizon of M87's black hole was estimated to be around 40 billion km in diameter, which is larger than the entire solar system.
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Write down the names of three mar-made devices in everyday use that depend,
for their action, upon the moments of forces.
Answer:
Scissors
Tap
Spanner
Explanation:
$1,000 par value zero-coupon bonds (ignore liquidity premiums) Bond Years to Maturity Yield to Maturity A 1 6.00% B 2 7.50% C 3 7.99% D 4 8.49% E 5 10.70% The expected 1-year interest rate 1 year from now should be about __________.
The expected 1-year interest rate 1 year from now should be about 9.03%.
To calculate the expected 1-year interest rate 1 year from now, we can use the yield to maturity (YTM) of two bonds with different maturities. In this case, we'll use Bond A (1-year maturity) and Bond B (2-year maturity).
YTM of Bond A = 6.00% or 0.06
YTM of Bond B = 7.50% or 0.075
The formula for the expected 1-year interest rate (r) 1 year from now can be derived from the 2-year bond's YTM:
(1 + YTM of Bond B)^2 = (1 + YTM of Bond A) * (1 + r)
Let's plug in the values and solve for r:
(1 + 0.075)^2 = (1 + 0.06) * (1 + r)
1.155625 = 1.06 * (1 + r)
Now, we can solve for r:
(1 + r) = 1.155625 / 1.06
(1 + r) = 1.090311
r = 0.090311 or 9.03%
The expected 1-year interest rate is 9.03%.
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Is kilometer less than, greater than, or equal to dekameter
Answer:
Less than
Explanation:
Because a dekameter has a higher vantage point than kilometer as a kilometer has a lower vantage point
Answer: a dekameter is actually 10 yrds while 1 kilometer is actually 4 to 5 miles
Explanation:
What is bigger a gallon or 3 liters?
A gallon is bigger than 3 liters. This is because a gallon is a unit of volume used in the United States and is equal to 128 fluid ounces, which is approximately 3.785 liters.
What is gallon?A gallon is a unit of measurement used in the United States to quantify volume. It is equal to 128 US fluid ounces, or 3.785411784 liters. Gallons are commonly used to measure the amount of liquid in a container, such as a jug of water or a gallon of milk. The gallon is also commonly used to measure fuel and other liquids like motor oil. In addition to the US gallon, other countries have their own gallon measurements, such as the UK gallon and the Imperial gallon. The US dry gallon is also a unit of measurement used to measure dry goods such as rice, flour, and wheat.
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If the coefficient of sliding friction between a 25 kg crate and the floor is 0.45, how much force is required to move the crate at a constant velocity across the floor?
At constant velocity, the crate would be in equilibrium, so that Newton's second law tells us
p + (-f ) = 0
where p and f denote the magnitudes of the added pushing force and friction force, respectively.
The friction force is proportional to the normal force by a factor of µ, the coefficient of friction. There's no vertical movement going on, so Newton's second law says
n + (-w) = 0
where n and w are the magnitude of the normal force and the weight of the crate, respectively.
Compute n :
n = w = (25 kg) (9.80 m/s²) = 245 N
Use this and µ = 0.45 to compute f :
f = µ n = 0.45 (245 N) = 110.25 N
Solve for p :
p + (-110.25 N) = 0
p = 110.25 N ≈ 110 N
The force i.e required to move the crate at a constant velocity across the floor is 110 N.
At the same velocity, the crate should be in equilibrium, so as per Newton's second law, the following formula should be used:
p + (-f ) = 0
p means the magnitudes of the added pushing force
f means the friction force
Calculation of the force:
n = w = (25 kg) (9.80 m/s²) = 245 N
Now
force should be
= µ n
= 0.45 (245 N)
= 110.25 N
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A hydraulic lift is used to raise an automobile of mass 1520 kg. The radius of the shaft of the lift is 8.00 cm and that of the piston is 1.00 cm. How much force must be applied to the piston to raise the automobile?
To raise the automobile with a hydraulic lift, a force of approximately 19,000 N must be applied to the piston.
In a hydraulic lift, the principle of Pascal's law is applied, which states that pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container. By utilizing this principle, a smaller force applied to a smaller piston can generate a larger force on a larger piston.
In this scenario, the force needed to lift the automobile can be calculated using the formula:
\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)
where \(F_{1}\) is the force applied to the piston, \(A_{1}\) is the area of the piston, \(F_{2}\) is the force generated on the larger piston (required to lift the automobile), and \(A_{2}\) is the area of the larger piston.
Given the radius of the shaft (small piston) as 0.08 m and the radius of the piston as 0.01 m, we can calculate the forces applied and generated as follows:
\(A_{1} = \pi (0.08)^2\\A_{2}= \pi (0.01)^2\)
\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)
Simplifying the equation and substituting the values, we can solve for \(F_{2}\):
\(F_{2}=\frac{F_{1}A_{2}}{A_{1}}\)
Plugging in the values, we find:
\(F_{2}=\frac{F_{1} \pi (0.01)^2 }{ \pi (0.08)^2} \\F_{2}= \frac{F_{1}\times 0.0001}{0.0064} \\F_{2}= 0.015625 \times F_{1}\)
Given that the mass of the automobile is 1520 kg and the acceleration due to gravity is \(9.8 \hspace m/s^{2}\), we can equate \(F_{2}\) to the weight of the automobile:
\(F_{2}= mg\\0.015625\times F_{1}= 1520\times 9.8\)
Solving for \(F_{1}\), we find:
\(F_{1}\approx \frac{1520\times 9.8}{0.015624} \\F_{1} \approx 19072 \hspace N\)
Therefore, a force of approximately 19,000 N must be applied to the piston in order to raise the automobile using the hydraulic lift.
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write me a presentation of oxygen
why did pasteur’s ""swan-necked flask"" experiments disprove spontaneous generation?
Louis Pasteur's "swan-necked flask" experiments, which demonstrated that bacteria did not develop spontaneously in sterile liquid, revealed that the hypothesis of spontaneous creation was untrue.
A type of lab flask created by the French scientist Louis Pasteur is the swan-necked flask. The flask features a long, curved neck with a swan-like bend that allows air to enter and exit the container while keeping out airborne microbes. In his tests on spontaneous generation, Pasteur utilised the swan-necked flask to show that bacteria do not emerge spontaneously in sterile liquids. Pasteur sterilised a soup by boiling it in a swan-necked flask to remove any exterior contaminants, supporting the biogenesis theory that living things can only evolve from earlier life forms. Today, the swan-necked flask is still employed in microbiology as a technique of shielding research from contamination.
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In the absence of air resistance, from what height should the diver
jump so he hits the water at a speed of 24 m/s? (Set the air resistance
slider to none. Adjust the height slider so the diver hits the water with
a speed of 24 m/s. )
The height at which the diver must jump in other to hit the water with a speed of 24 m/s is 29.4 m.
The height of the player above the ground can be calculated using the formula below.
v² = u²+2gs................. Equation 1Where:
v = final velocity of the diveru = initial velocity of the divers = height from where the diver will fallg = acceleration due to gravity.From the question,
⇒ Given:
v = 24 m/su = 0 m/sg = 9.8 m/s².⇒ Substitute these values into equation 1
24² = 0²+(2×9.8×s)⇒ Solve for s.
s = 24²/(2×9.8)s = 29.4 mHence, The height at which the diver must jump in other to hit the water with a speed of 24 m/s is 29.4 m.
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what is best for a scientist to base a hypothesis
Calculate the equivalent resistance of the following circuit:
Req =
Answer:
12/11 Ω isvthe equivalent resistance of the circuit.
Explanation:
Refer the attachment.how does a wheel involve physics
how many bags of pineapples did joey buy if he bought 8 pineapples. each bag holds three pineapples.
Answer:
3 BagsExplanation:
1) Since the bags hold three pineapples
2) we can also hold two pineapples in one bag.
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How did the magma get from the volcanic center to the locations where the laccoliths formed?
Laccolith magma (molten rock) rising through the Earth's crust begins to spread out horizontally, prying aside the host rock strata.
Laccoliths are not unusual in the Pine Valley Mountain desert location close to St. George, Utah. The stress of the magma is high enough that the overlying strata are compelled upward, giving the laccolith its dome-like form.
A laccolith is a frame of intrusive rock with a dome-shaped top surface and a degree base, fed through a conduit from under. A laccolith bureaucracy when magma (molten rock) rising thru the Earth's crust starts to unfold out horizontally, prying aside the host rock strata. The stress of the magma is excessive enough that the overlying strata are pressured upward, giving the laccolith its dome-like form.
A laccolith is a type of igneous intrusion, shaped when magma forces its manner upwards via the Earth's crust however cools and solidifies before attaining the surface. Laccoliths are outstanding from other igneous intrusions by way of their dome-shaped upper floor and level base.
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William drew a diagram of a box containing a gas for his science project. His drawing is shown.
Paco was driving his scooter west with an initial velocity of 4 m/s. He accelerates at 0.5 m/s2 for 30 seconds. What is his final velocity?
Answer:
19m/s
Explanation:
U= 4m/s
a = 0.5m/s²
t= 30s
V= U+at
= 4+15
=19m/s
Circular motion requires the application of a constant force in which direction?
Outward from the circle
Toward the center of the circle
Toward the object in motion
Away from an object