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The decay constant of a radioactive nuclide is 4.6 x 10^-3 s^-1. What is the half-life of the nuclide?
2.5 min
2.0 min
1.4 min
3.6 min
3.1 min
Answer:
2.5s
Explanation:
Given parameters:
Decay constant of the nuclide = 4.6 x 10⁻³s⁻¹
Unkown:
Half life =?
The half life is the time take for half of the radioactive nuclei to disintegrate. It is mathematically expressed as:
Half life = 0.693/λ
Where λ is the decay constant
Since we have been given λ we plug it into the equation:
Half life = 0.693/4.6 x 10⁻³
Half life = 0.693/0.0046
Half life =150. 65s
Now we convert to minutes because the options are in minutes:
60s = 1 minute
150.65s = 150.65/60 = 2.5s
The half life of the nuclide is 2.5s
Astronomers use the _______ of stars to determine how hot they are and their _______ to estimate how far away they are. A. brightness; size B. temperature; position C. size; temperature D. color; brightness
Answer:
color; brightness
Explanation:
Astronomers use the color of stars to determine how hot they are and their brightness to estimate how far away they are.
Astronomers use the color of stars to determine how hot they are and their brightness to estimate how far away they are.
Who are astronomer?A scientist who concentrates their research on a particular issue or area outside the purview of Earth is called an astronomer in the science of astronomy.
They perform observational (by evaluating the data) or theoretical astronomy when observing astronomical objects including stars, planets, moons, comets, and galaxies.
Planetary science, solar astronomy, the creation or evolution of stars, or the formation of galaxies are a few examples of subjects or domains that astronomers investigate.
Therefore, Astronomers use the color of stars to determine how hot they are and their brightness to estimate how far away they are.
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Which of the following statements are true regarding transformers?Check all that apply.
In a transformer, if the primary coil contains more loops than the secondary coil, then it is a step-up transformer.A transformer converts mechanical energy into electrical energy.A transformer is used to increase or decrease a direct current voltage.A transformer is used to increase or decrease an alternating current voltage.In a transformer, if the secondary coil contains more loops than the primary coil, then it is a step-up transformer.In a transformer, the power input is less than the power output.
Answer:
In a transformer, if the secondary coil contains more loops than the primary coil, then it is a step-up transformer.
Explanation:
A transformer is made up of primary coil and secondary coil. when the number of loops in the secondary coil is less than the primary coil, the transformer is called step down transformer. Also if the number of loops in the secondary coil is more than the primary coil, then it is called a step-up transformer. In a step-up transformer the voltage output will be greater.Answer:
There are two correct options.
1. A transformer is used to increase or decrease an alternating current voltage.
2. In a transformer, if the secondary coil contains more loops than the primary coil, then it is a step-up transformer.
Explanation:
A transformer is a device which has two coils. One is primary coil and other is secondary coil.
Input is given to primary coil and output is taken out from secondary coil.
A transformer can increase or decrease the output voltage by setting the number of turns in primary and secondary coil.
If the number of turns in primary coil is less than the number of turns in secondary coil, then it is step up transformer. It increases the output voltage.
The relation between the number of turns and the voltage is given by
[tex]\frac{N_{s}}{N_{p}}=\frac{V_{s}}{V_{p}}=\frac{I_{p}}{I_{s}}[/tex]
Where, Np = number of turns in primary coil
Ns = number of turns in secondary coil
Vp = ac voltage across primary coil
Vs = ac voltage across secondary coil
Ip = ac current across primary coil
Is = ac current across secondary coil
An electromagnetic wave with an electric field that oscillates with a period of 8.43 ps is travelling in a vacuum. What is the wavelength of this electromagnetic wave?
"ps" stands for "pico-second". It means 10⁻¹² second.
The period of this wave is 8.43 x 10⁻¹² second.
In a vacuum, the speed of any electromagnetic wave is 3 x 10⁸ m/s.
Wavelength = (speed) / (frequency)
But Frequency = 1 / period
So Wavelength = (speed) x (period)
Wavelength = (3 x 10⁸ m/s) x (8.43 x 10⁻¹² sec)
Wavelength = 2.5 x 10⁻³ meter
Wavelength = 2.5 millimeters
You can find the wavelength of an electromagnetic wave with a given period by first calculating frequency using the formula f = 1/T. Then, use the universal wave equation c = λv, to find the wavelength, λ = c/f. Plugging all the values, we find the wavelength is about 2.53 meters.
Explanation:The subject of this question revolves around an
electromagnetic wave
with a given oscillation period and we need to find its wavelength. To solve this, we first have to convert the period into frequency, as the two are inverse to each other.
The frequency (f) can be calculated by taking the reciprocal of the period (T), so f = 1/T. Given that T = 8.43 ps (ps is picoseconds and 1 ps equals 10^-12 seconds), the frequency would therefore be f = 1/(8.43x10^-12 s) which equals approximately 1.19x10^11 Hz (Hz is the unit of frequency).
Now we use the universal wave equation, c = λv, where c is the speed of light (approximately 3 x 10^8 ms^-1 in a vacuum), v is the frequency, and λ is the wavelength we're trying to find. Solving for λ, we get λ = c/f. Substituting the values, we get λ = (3x10^8 m/s) / (1.19x10^11 Hz), which computes to approximately λ = 2.53m. Therefore, the wavelength of this electromagnetic wave is approximately 2.53 meters.
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The amplitude of a system moving in simple harmonic motion is doubled. Determine by what factor the following change.
(a) the total energy
(b) the maximum speed
(c) the maximum acceleration
(d) the period
(a) The total energy increases by a factor 4
The total energy of a simple harmonic system is given by:
[tex]E=\frac{1}{2}kA^2[/tex]
where
k is the spring constant
A is the amplitude of the motion
In this part of the problem, the amplitude is doubled:
A' = 2A
So the new total energy is
[tex]E=\frac{1}{2}k(A')^2=\frac{1}{2}k(2A)^2=4(\frac{1}{2}kA^2)=4E[/tex]
So, the energy quadruples.
(b) The maximum speed increases by a factor 2
The maximum speed in a simple harmonic motion is given by
[tex]v=\omega A[/tex]
where
[tex]\omega=\sqrt{\frac{k}{m}}[/tex] is the angular frequency, with k being the spring constant and m the mass
A is the amplitude
In this part of the problem, k and m do not change, so the angular frequency does not change. Instead, the amplitude is doubled:
A' = 2A
So the new maximum speed is
[tex]v'=\omega (A')=\omega (2A)=2 (\omega A)=2 v[/tex]
so, the maximum speed doubles.
(c) The maximum acceleration increases by a factor 2
The maximum acceleration in a simple harmonic motion is given by
[tex]a=\omega^2 A[/tex]
where
[tex]\omega=\sqrt{\frac{k}{m}}[/tex] is the angular frequency, with k being the spring constant and m the mass
A is the amplitude
In this part of the problem, k and m do not change, so the angular frequency does not change. Instead, the amplitude is doubled:
A' = 2A
So the new maximum acceleration is
[tex]a'=\omega^2 (A')=\omega^2 (2A)=2 (\omega^2 A)=2 a[/tex]
so, the maximum acceleration doubles.
(d) The period does not change
The period in a simple harmonic motion is given by
[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]
where m is the mass and k is the spring constant.
In this problem, the amplitude is doubled:
A' = 2A
However, we notice that the period does not depend on the amplitude, and since both m and k do not change, then the period will remain constant.
Final answer:
Doubling the amplitude in simple harmonic motion quadruples the total energy, doubles both the maximum speed and maximum acceleration, while the period remains unchanged. If the spring constant is doubled, the mass must be doubled to keep the same frequency.
Explanation:
Impact of Doubling the Amplitude on Simple Harmonic Motion
When the amplitude A of a system undergoing simple harmonic motion (SHM) is doubled, the following changes occur:
(a) Total energy of the system, which includes both kinetic and potential energy, is proportional to the square of the amplitude. Therefore, doubling the amplitude results in quadrupling the total energy (a factor of 4).
(b) Maximum speed (Vmax) of the system in SHM is directly proportional to the amplitude. As a result, doubling the amplitude doubles the maximum speed (a factor of 2).
(c) Maximum acceleration is also directly proportional to the amplitude. By doubling the amplitude, the maximum acceleration is also doubled (a factor of 2).
(d) The period of oscillation (T) is independent of the amplitude and will remain unchanged.
If the spring constant (k) of a simple harmonic oscillator is doubled, the mass (m) of the system needs to be doubled as well, in order to maintain the same frequency of motion, based on the formula for the frequency f = 1/(2π√(m/k)).
Which physicist first identified the electron as an independent part of the atom?
Thomson conducted a series of experiments on cathode ray tubes, which led him to the discovery of electrons.
This is how on April 30th, 1897 Thomson announced the discovery of the electron (although at that time he called it a corpuscle)
This discovery was considered one of the milestones in science of the late nineteenth century, since it allowed to have a new conception of the structure of matter and its interaction with energy.
It should be noted that from this discovery, Thomson proposed a new model of the atom that although erroneous, remained valid for years and served as the basis for new postulates and research on the subject.
The velocity of an object is equal to the distance divided by time. The equation is velocity = distance/time. If you wanted to calculate the TIME required for an object to travel a distance and you knew the velocity, you would A) multiply: velocity X distance. B) subtract: velocity – distance. C) divide: distance ÷ velocity D) add: velocity + distance
Answer: C) divide: distance ÷ velocity
Explanation:
The velocity [tex]V[/tex] equation is distance [tex]d[/tex] divided by time [tex]t[/tex]:
[tex]V=\frac{d}{t}[/tex]
If we isolate [tex]t[/tex] we will have:
[tex]t=\frac{d}{V}[/tex]
Hence, the correct option is C: distance divided by velocity.
Is it possible for one sound wave to cancel another?
yes it is just like a sonar ping can cancel another ping it works the same way as a normal soundwave
hope this helps you
State two advantages of a lead-acid accumulator over a leclanche cell
Answer:
They are rechargeable
They have a longer life span
They are reusable
Explanation:
Lead acid accumulators and leclanche cells are types of electrochemical cells.
Leclanche cells are primary cells. Primary cells produce chemical reactions through which the electric current generated is irreversible.
Lead Acid Accumulators are secondary cells in which electric current generated is reversible.
This makes lead acid accumulators reusable, more durable and they have a longer life span.
The two advantages of a lead-acid accumulator over a Leclanché cell are its rechargeability and its higher current output, which makes it suitable for applications such as starting car engines.
Explanation:There are two main advantages of a lead-acid accumulator (also known as a lead-acid battery) over a Leclanché cell.
Rechargeability: One of the key advantages of a lead-acid accumulator is that it is rechargeable. This means that after the battery has been discharged (used), it can be recharged again with an external power source. This is in contrast to a Leclanché cell, which is typically not rechargeable. The ability to recharge a lead-acid battery prolongs its lifespan and makes it more cost-effective over the long term. Higher Current Output: Lead-acid accumulators can produce a high current output, which is necessary for starting automobile engines. Because of this, they are commonly utilized in vehicles. This is an advantage over the Leclanché cell, as it typically does not produce as high a current output.It is important to note that, despite these advantages, lead-acid batteries contain a significant amount of lead and a caustic liquid electrolyte, both of which must be handled and disposed of properly due to their environmental impact.
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What is the anode in an alkaline battery?
For instance, in an alkaline battery, the anode is typically made of zinc, and manganese dioxide acts as the cathode. And the electrolyte between and inside those electrodes contains ions. ... These free electrons congregate inside the anode (the bottom, flat part of an alkaline battery)
Hope this helps:)
The anode is usually made of zinc, while the cathode is manganese dioxide. The anode is a negative electrode related with oxidation or electron release.
What is alkaline battery?An alkaline battery is a main battery that gets its power from the reaction of zinc metal and manganese dioxide.
Alkaline batteries provide a better energy density and a longer shelf life than zinc chloride batteries.
The anode is a negative electrode related with oxidation or electron release. The anode is the negative pole during discharge and the positive pole during charge in a rechargeable cell.
Hence, the anode is typically made of zinc, while the cathode is manganese dioxide.
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Define gravity in your own words.
Answer:
The word "gravity" refers to the force that pulls an object to another object. More specifically, it is the force that the Earth or another heavenly body exerts on people or objects, pulling them toward it.
Explanation:
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Two physics question need quick help
Answer:
2.14 kW, I₂ < I₁
Explanation:
The three resistors are in parallel. The net resistance is:
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/R = 1/20 + 1/8 + 1/500
1/R = 0.177
R = 5.65
The power is:
P = IV
P = (V/R) V
P = V²/R
P = (110)² / 5.65
P = 2140 W
P = 2.14 kW
For two resistors in parallel, the one with the higher resistance has the smaller current. I₂ < I₁.
In Figure 1, starting from the left, what magnetic poles are shown on the two bar magnets?
The answer is:North South North South.
Hope this helped :)
Answer: North, south, north, south.
Explanation:
In a usual magnetic field diagram, the vectors of the field "come" from the north pole and "enter" in the south pole.
In this case, we can see from where the field comes by the small arrows in the field lines, so in the figure the poles are:
North, South, North, South.
Where in the middle, the south pole of the left magnet is receiving the field that comes from the north pole in the other magnet, and the same for the outer poles.
An object is placed 8.5 cm in front of a convex spherical mirror of focal length −14.0 cm. What is the image distance? Show all work and include units of measure.
Given:
u = 8.5 cm
f = -14.0 cm
v = image distance
Using the mirror formula 1/u + 1/v = 1/f
1/8.5 + 1/v = 1/-14.0
Rewrite to solve for v:
v = (8.5 * -14.0) / (8.5 - (-14.0))
v = -119 / 22.5
v = -5.29 cm ( round answer as needed.)
1. All of the following would employee ocean engineers EXCEPT?
A. The military
B. Coastal Regions
C. Weather services
D. Scuba gear companies
2. Agriculture is to grain as aquaculture is to
A. Science
B. Seaweed
C. Fish Food
D. Aqueduct
3. How did American captain William Anderson eliminate the problem of ice packs when exploring the arctic?
A. He designed the ship to melt the ice
B. He went under the ice packs with a submarine
C. He developed a particularity narrow ship
D. He went when temperatures were warmer
4. The first echo sounder was used in a German submarine
True or False
5. Supporting all stakeholders means that?
A. Any solution benefits for all stakeholders equally
B. The solution favors human needs over environmental
C. One stakeholder is supported by the expense of the others
D. All needs are taken into account and solutions are designed to consider them all
6. ROVs can play an important role in managing man made disasters in the ocean
True or False
7. One of the biggest challenges in exploring polar regions is
A. Ice packs
B. Hurricanes
C. Polar bears and walruses
D. Lack of latitude and longitude
8. Regardless of the scientific question being asked, scientific research will include all of the following EXCEPT?
A. Use of the scientific method
B. A single approach in every situation
C. Exploration of work by previous scientists
D. Sharing results with the scientific community
9. Chemical oceanographers often study pollution because
A. Most pollution occurs in the ocean
B. Pollution creates chemical changes
C. No other field examines the implications of pollution
D. Only chemical oceanography uses the scientific method
10. Which of the following is a pinniped?
A. Walrus
B. Penguin
C. Arctic fox
D. Polar bear
11. The national oceanic and Atmospheric administration use to buoys to monitor
A. Ship traffic
B. Weather patterns via satellite
C. Movement of tectonic plates
D. Water conditions around coral reefs
12. Most marine science jobs that involve conducting research will require an advanced degree?
True or False
13. Offshore drilling is the concern of
A. Coastal regions
B. Freshwater lakes
C. Inland rivers and streams
D. The deeper parts of the ocean
Your Answers:
1: C. Weather Services
2: B. Seaweed
3: C. He developed a particularity narrow ship (I think.)
4: True The founder/creator of the first echo sounder was German inventor, Alexander Behm.
5: B. The solution favors human needs over environmental. (I think.)
6: True (I think)
7: C. Polar bears and Walruses (I think.)
8: B. A single approach in every situation (I think)
9: A. Most pollution occurs in the ocean
10: A. Walrus Definition of a pinniped: a carnivorous aquatic mammal of the order <i>Pinnipedia</i>, such as a seal or walrus.
11: D. Water conditions around coral reefs (I think)
12: True
13: A. Coastal regions (I think)
Sorry if any of them are incorrect. Some of these I am unsure of how to answer. Hope I helped you,
-Anime.
Answer:
1.C.
2: B.
3: C.
4: ?
5: B.
6: True
7: C.
8: B.
9: A.
10: A..
11: D.
Explanation:
Walking across a carpet is an example of charge being transferred by
static electricity and friction
20.What factor is more important in determining electrical force
21.Why do we need constants like k and G?
Answer:
20.The first factor is the amount of charge on each object. The greater the charge, the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is
Explanation:
How do you increase capacitance in a capacitor?
If you want to increase the Capacitance of Parallele Plate Capacitor then increase the surface area, reduce the separation between the plate and use a dielectric material in between the plate which have higher dielectric breakdown strength.
Calculate the number of moles of oxygen in a 12.5-l tank if the pressure is 25325 kpa and the temperature is 22°c
Answer:
= 129.06 moles
Explanation:
Using the ideal gas equation;
PV = nRT
Where; P is the pressure, V is the volumes, n is the number of moles, R is the ideal gas constant and T is the temperature.
In this case; V = 12.5 L, P = 25325 kpa or 249.94 atm, T = 22 + 273 = 295 K and R= 0.08206L atm/mol K
n = PV/RT
= (12.5 × 249.94)/(0.08206 × 295)
= 129.06 moles
How do you find the approximate frequency for this graph?
Answer:
Explanation:
Good thing it says approximately. Your best guess is just a guess. It takes 1 hz (or 1 sine wave) about 0.62 seconds before it begins to repeat itself.
The frequency is # of cycles / time = 1 hz / 0.62 = 1.61 hz/second.
How do carbon-12 and carbon-13 differ?
Select all that apply.
They have different amounts of neutrons.
They have different amounts of electrons.
They have different mass numbers.
They have different atomic charges.
They have different amount of neutrons
Answer:
They have different amounts of neutrons. They have different mass numbers.
PLEASE HELP
A 10.0 kg cart and a 15 kg cart are locked together with a compressed spring between them. They are then released so that the spring pushes the two carts apart. The 15 kg cart is moving at 3.0 m/s afterward. How fast is the 10.0 kg cart moving?
A) 3.0 m/s
B) 4.5 m/s
C) 5.0 m/s
Answer:
4.5 m/s
Explanation:
Initial momentum = final momentum
0 kg m/s = (15 kg) (3.0 m/s) + (10.0 kg) v
v = -4.5 m/s
The negative sign means it's moving in the opposite direction.
Answer:
4.5
Explanation:
4.5
What happens when a particle of matter meets its corresponding antiparticle of antimatter?
A) They can form a complete atom. B) The combined mass of the two particles is completely transformed into energy (photons). C) They fuse to make a heavier particle. D) The question makes no sense, since antimatter does not really exist.
The correct answer is B) the combined mass of two particles is completely transformed into energy (photons).
The lowest frequency in the audible range is 20 Hz.a)What is the length of the shortest open-open tube needed to produce this frequency?b)What is the length of the shortest open-closed tube needed to produce this frequency?
a) 8.58 m
For an open-open tube, the fundamental frequency is given by
[tex]f=\frac{v}{2L}[/tex]
where
f is the fundamental frequency (the lowest frequency)
v is the speed of sound
L is the length of the tube
In this problem, we have
f = 20 Hz
v = 343 m/s (speed of sound in air)
Solving the equation for L, we find the shortest length of the tube:
[tex]L=\frac{v}{2f}=\frac{343 m/s}{2(20 Hz)}=8.58 m[/tex]
(b) 4.29 m
For an open-closed tube, the fundamental frequency is instead given by
[tex]f=\frac{v}{4L}[/tex]
Where in this problem, we have
f = 20 Hz
v = 343 m/s (speed of sound in air)
Solving the equation for L, we find the shortest length of the tube:
[tex]L=\frac{v}{4f}=\frac{343 m/s}{4(20 Hz)}=4.29 m[/tex]
For every action there is an equal and opposite reaction. True or False
The statement 'For every action there is an equal and opposite reaction' is true as per Newton's third law. This law indicates that any force exerted on a body will lead to an equivalent counter force from that body. These forces apply to separate bodies and do not cancel each other out.
Explanation:The statement 'For every action there is an equal and opposite reaction' is True. This principle is known as Newton's third law. As per this law, any force enacted upon a body will cause that body to exert an equivalent force in the opposite direction - an 'action-reaction' pair. For instance, if you push a wall, the wall pushes back with an equivalent force. Importantly, these forces act on separate bodies and therefore do not cancel each other out.
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Newton's third law states that for every action, there is an equal and opposite reaction. Understanding this law is crucial in physics for analyzing interactions between objects and systems to predict motion based on forces.
Newton's third law states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object will exert a force of equal magnitude but in the opposite direction.
This law explains the concept of action-reaction pairs, where the forces between two interacting objects are always equal and opposite. An example of this is when you push against a wall, the wall pushes back with an equal force in the opposite direction.
Understanding Newton's third law is essential in physics to analyze the interactions between objects and systems and to predict their motion based on the forces involved.
Work is only being done when what happens to an object?
A) the object does not move
B) the object disappears without explanation
C) it moves in the same direction as the force
D) The object moves in the opposite direction of the force
Ik it's not A or B
Answer:
C) it moves in the same direction as the force
D) The object moves in the opposite direction of the force
Explanation:
As we know by work energy theorem that when work is done on the system of mass then
[tex]W_{net} = KE_f - KE_i[/tex]
now as per the definition of work done we know that
[tex]W = F.d[/tex]
[tex]W = Fdcos\theta[/tex]
so here we will say that when force is applied in the direction of the displacement of the object then it is always positive work and if work is applied in the opposite direction of the displacement of object then it is always negative work.
So here when force is applied then the point of application must move either in the direction of force or in the opposite direction of the force.
so correct answer will be
C) it moves in the same direction as the force
D) The object moves in the opposite direction of the force
geothermal pumps can be used for cooling, but not heating. true or false?
Answer:
False
Explanation:
Geothermal pumps can be used for cooling and heating.
A single circular loop with a radius of 35 cm is placed in a uniform external magnetic field with a strength of 0.50 T so that the plane of the coil is perpendicular to the field. The coil is pulled steadily out of the field in 15 s. Find the magnitude of the average induced emf during this interval. Show all work and include units of measure.
Answer:
0.0129 V
Explanation:
The average emf induced in the coil is given by Faraday-Newmann-Lenz:
[tex]\epsilon=-\frac{\Delta \Phi_B}{\Delta t}[/tex]
where
[tex]\Delta \Phi_B[/tex] is the variation of magnetic flux through the coil
[tex]\Delta t = 15 s[/tex] is the time interval
Here we have
B = 0.50 T is the strength of the magnetic field
The radius of the coil is
r = 35 cm = 0.35 m
So the area is
[tex]A=\pi r^2 = \pi (0.35 m)^2=0.385 m^2[/tex]
The initial flux through the coil is
[tex]\Phi_i = BA = (0.50 T)(0.385 m^2)=0.193 Wb[/tex]
while the final flux is zero, since the coil has been completely removed from the magnetic field region; so, the variation of magnetic flux is
[tex]\Delta \Phi = \Phi_f - \Phi_i = -0.193 Wb[/tex]
and so, the average emf induced is
[tex]\epsilon=-\frac{-0.193 Wb}{15 s}=0.0129 V[/tex]
many metamorphic rocks are found along the southwest border of mexico. what is a likely reason for this ?
The reason why there is an abundance of metamorphic rocks in the southwestern part of Mexico is the intense geologic activity in this area. In this area there is geologic activity triggered by the convergent plate boundary of the North American plate and the Cocos plate. The Cocos plate subducts bellow the North American plate, and that causes the surrounding crust to be exposed to high temperatures and pressures. Those high temperatures and pressure lead to metamorphism of the rocks that are deep into the crust. Also, the land is lifted up because of the subduction zone, so these metamorphic rocks start to emerge on the surface or very close to it because they have been pushed upwards.
Two charged objects separated by some distance attract each other. If the charges on both objects are doubled with no change in distance between them, what happens to the magnitude of the force between the objects?
a. the force between them quadruples
b. the between them doubles
c. the between them is halved
d. the force between them is quartered
e. the force between them is unchanged
Answer:
a. the force between them quadruples
Explanation:
The electrostatic force between two charges is given by
[tex]F=k\frac{q_1 q_2}{r^2}[/tex]
where
k is the Coulomb's constant
q1 and q2 are the two charges
r is the separation between the two charges
In this problem, the charges on both objects are doubled, so
[tex]q_1' = 2q_1\\q_2' = 2q_2[/tex]
While the distance does not change, so the new force will be
[tex]F'= k \frac{(2q_1)(2q_2)}{r^2}=4 (k\frac{q_1 q_2}{r^2})=4 F[/tex]
so, the force will quadruple.