(a) Magnetic force: 0 N
(b) Magnetic force: 0 N
(c) Magnetic force: 2.46 x \(10^{-16\) N
To calculate the magnitude of the magnetic force on the electron in each scenario, we can use the formula for the magnetic force on a moving charged particle in a magnetic field:
F = |q| * v * B * sin(θ)
Where:
F = magnetic force
|q| is the magnitude of the charge of the particle
v = velocity of the particle
B = magnetic field strength
θ = angle between the velocity vector and the magnetic field vector
Given:
Current in the wire (I) = 67.6 A
The velocity of the electron (v) = 2.39 x \(10^6\) m/s
Distance from the wire (r) = 3.35 cm = 0.0335 m
First, let's calculate the magnetic field strength (B) at the position of the electron using the Biot-Savart Law:
B = (μ₀ * I) / (2 * π * r)
Where:
μ₀ = permeability of free space (4π x \(10^{-7\) T·m/A)
B = (4π x \(10^{-7\) T·m/A * 67.6 A) / (2π * 0.0335 m)
B ≈ 0.038 T
(a) When the electron velocity is directed toward the wire (θ = 0°), the magnetic force is given by:
F = |q| * v * B * sin(θ)
F = |q| * v * B * sin(0°)
F = |q| * v * B * 0
F = 0
The magnitude of the magnetic force = 0 N.
(b) When the electron velocity is parallel to the wire in the direction of the current (θ = 180°), the magnetic force is given by:
F = |q| * v * B * sin(θ)
F = |q| * v * B * sin(180°)
F = |q| * v * B * 0
F = 0
The magnitude of the magnetic force = 0 N.
(c) When the electron velocity is perpendicular to the two directions defined by (a) and (b) (θ = 90°), the magnetic force is given by:
F = |q| * v * B * sin(θ)
F = |q| * v * B * sin(90°)
F = |q| * v * B * 1
F = |q| * v * B
Substituting the given values:
F = (1.6 x \(10^{-19\) C) * (2.39 x \(10^6\) m/s) * (0.038 T)
F ≈ 2.46 x \(10^{-16\) N
The magnitude of the magnetic force is approximately 2.46 x \(10^{-16\) N.
The Question was Incomplete, Find the full content below :
A long straight wire carries a current of 67.6 A. An electron, traveling at 2.39 x 10 m/s, is 3.35 cm from the wire. What is the magnitude of the magnetic force on the electron if the electron velocity is directed (a) toward the wire? (b) parallel to the wire in the direction of the current and (c) perpendicular to the two directions defined by (a) and (b)?
(a) Number 2.46e-16 - Units ___N
(b) Number 2.46e-16 - Units ___N
(c) Number 0 - Units ___N
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How is temperature related to the motions of molecules?
Answer:
As the temperature increases, the kinetic energy of the molecules of the liquid increases.
Explanation:
A car with a mass of 1000 kg moves at 20 m/s. What braking force is needed to bring the car to a halt in 10 s?
To solve this problem, we can use the equation for braking distance:
Braking distance = (initial velocity)^2 / (2 x braking force)
We want to bring the car to a halt, so the final velocity will be 0 m/s. Therefore, the braking distance will be equal to the initial distance the car traveled in 10 seconds:
Braking distance = 20 m/s x 10 s = 200 m
Now we can plug in the values we have:
200 m = (20 m/s)^2 / (2 x braking force)
Solving for the braking force, we get:
braking force = (20 m/s)^2 / (2 x 200 m) = 1000 N
Therefore, a braking force of 1000 N is needed to bring the car to a halt in 10 seconds.
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Which of the following is NOT a form of remote sensing? 8) A) measurement by thermometer B) aerial photography C) radar D) thermal infrared imaging
The answer is A) measurement by thermometer. The practice of gathering data about the environment at a distance, usually through satellites or aircraft, is known as remote sensing.
It involves using a range of sensors to gather information about an object or an area without actually touching it, such as photos, sounds, or other measures.
Several industries, such as agriculture, urban planning, crisis management, and resource management, use remote sensing. Aerial photography, LiDAR, radar, thermal infrared imaging, multispectral imaging, and hyperspectral imaging are some of the most frequently utilised remote sensing technologies today.
Researchers and scientists can examine vast portions of the Earth's surface using remote sensing equipment and learn important things about patterns and trends over time, such as changes in land cover, vegetation growth, and ocean temperature.
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When drawing a free body diagram, which of the following things would NOT be included
a- weight of the object
b- applied forces
c- mass of the object
d- normal force
When drawing a free body diagram, which of the following things would NOT be included is the mass of the object.
What is free body diagram ?"A free body diagram is a picture of the forces which act on an object and is the first (and perhaps the most important) step in solving force problems." The purpose of the free body diagram (FBD) is to help you identify and analyze the forces that act on a particular object or body.
List the possible types of forces. A handy mnemonic is WANT FORCES:
W W eight
A A pplied
N N ormal
T T ension
Forces F friction
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what properties define a mineral? (select all that apply) naturally occurring solid element or compound definite crystalline structure definite chemical composition
The properties that define a mineral include being a naturally occurring solid with a definite crystalline structure and a definite chemical composition.
Therefore, the correct options are:
Naturally occurringSolidDefinite crystalline structureDefinite chemical compositionNaturally occurring means that the mineral is formed by natural processes, rather than being artificially created. Being a solid means that the mineral has a fixed shape and volume, and is not a liquid or gas. The crystalline structure of a mineral refers to the specific arrangement of atoms or molecules that make up its crystal lattice. Finally, the definite chemical composition of a mineral means that it has a specific set of chemical elements in a fixed proportion, which gives it distinct physical and chemical properties.
Overall, these properties help to distinguish minerals from other types of materials and allow them to be identified and studied based on their unique characteristics.
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The passage helps the reader to draw conclusions about which character's perspective? ºAlec ºAlice ºAlec's father ºAlec's mother
Answer:
I think it might be A: Alec but tell me if I'm wrong
Explanation:
Answer:
a
Explanation:
i did it on e d g e n u i t y
On average, each square metre of the solar
panel above receives 1000 joules of energy
from the Sun every second. Use this figure to
calculate the power input (in kW) of the panel if
its surface area is 2 m?
1 m² = 1000 J/s = 1000 watt = 1 kW
so for 2 m²:
= 2 x 1 kW = 2kW
A 50-gram block of copper is placed so it touches a 5-gram block of copper. The small block has been heated to 84 C and the large block has been cooled to 0 C. What will happen when these blocks are placed so that they touch each other?
When the two blocks touch each other, both blocks will have the same temperature and it will be closer to 0 degrees Celsius than 84 degrees Celsius.
option A is the correct answer.
What is the final temperature of the blocks?
The final temperature of the blocks or the equilibrium temperature of the blocks when they touch each other is determined by applying the principle of conservation of energy as follows;
Heat lost by the smaller block = Heat gained by the bigger block
m₁c(T₁ -T) = m₂c(T - T₂)
where;
T is the equilibrium temperature of the blocksc is the specific heat capacity of the copper blocksm₁ is the mass of the smaller blockm₂ is the mass of the bigger blocksm₁(T₁ -T) = m₂(T - T₂)
5 x (84 - T) = 50(T - 0)
420 - 5T = 50T
420 = 55T
T = 420/55
T = 7.64⁰C
Thus, we can conclude that both blocks will have the same temperature which will be closer to 0 degrees Celsius than 84 degrees Celsius.
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5. What is the velocity of a Nolan Catholic football player if he runs 200.0 m in 24.0 s?
Answer:
\( \boxed{ \bold{ \huge{ \boxed {\sf{8.33 \: m \:/s \: }}}}} \)
Explanation:
Distance travelled = 200 metre
Time taken = 24 second
Velocity = ?
Finding the velocity
\( \boxed{ \sf{velocity = \frac{distance \: travelled \: }{time \: taken}}} \)
\( \dashrightarrow{ \sf{velocity = \frac{200 \: m}{24 \: s} }}\)
\( \dashrightarrow{ \sf{velocity = 8.33 \: m/s}}\)
Hope I helped!
Best regards!
Which bar graph could represent the reaction rates of a reversible reaction
that has just begun?
The answer is A. Just did it.
Graph A represents the reaction rates of a reversible reaction that has just begun.
What is meant by reversible reaction ?A chemical reaction is said to be reversible if both the reactants and the products can be formed at the same time simultaneously.
Here,
Both the forward and reverse reactions typically take place concurrently in a reversible reaction.
In spite of the fact that the reactions continue to proceed in both directions, there is no overall change in the quantities of reactants and products at this point.
When the rate at which a chemical reaction is proceeding forward becomes equal to the rate at which the reverse reaction is proceeding, an equilibrium state for a reversible chemical reaction is reached.
Hence,
Graph A represents the reaction rates of a reversible reaction that has just begun.
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What is used to turn the pointer of a galvanometer?
a.
a crank
b.
an electric current
c.
a bar magnet
d.
a battery
Answer:
b. an electric current is used to turn the pointer of a galvanometer
Explanation:
well , galvanometer is an important device which is used to detect an electric current through a conductor or circuit.
something special about it is that it can detect very minute current too
Answer:
b
Explanation:
Determine whether the given function is periodic. If so, find the period.
1-sinwt−coswt
2- log(2wt)
To determine whether a function periodic, we need to check if there exists a positive constant 'T' such that for all values of 't', the function repeats itself after an interval of length 'T'.
f(t) = 1 - sin(wt) - cos(wt):
To determine if this function is periodic, we need to find a constant 'T' such that f(t + T) = f(t) for all values of 't'. Let's substitute t + T into the function:
f(t + T) = 1 - sin(w(t + T)) - cos(w(t + T))
Now let's simplify:
f(t + T) = 1 - sin(wt + wT) - cos(wt + wT)
Expanding the trigonometric functions using angle addition formulas:
f(t + T) = 1 - [sin(wt)cos(wT) + cos(wt)sin(wT)] - [cos(wt)cos(wT) - sin(wt)sin(wT)]
Simplifying further:
f(t + T) = [1 - cos(wT)] - [sin(wT) + sin(wT)] - [cos(wt)cos(wT) - sin(wt)sin(wT)]
Now, let's compare f(t + T) with f(t):
f(t + T) - f(t) = [1 - cos(wT)] - [sin(wT) + sin(wT)] - [cos(wt)cos(wT) - sin(wt)sin(wT)] - [1 - sin(wt) - cos(wt)]
Simplifying:
f(t + T) - f(t) = -2sin(wT) - (cos(wt)cos(wT) - sin(wt)sin(wT))
For this function to be periodic, f(t + T) - f(t) must be equal to zero for all values of 't'. The values of sin(wT) and cos(wT) can vary based on the choice of 'w' and 'T'. Hence, the function f(t) = 1 - sin(wt) - cos(wt) is not periodic.
f(t) = log(2wt):
In this case, we need to find a constant 'T' such that f(t + T) = f(t) for all values of 't'. Let's substitute t + T into the function:
f(t + T) = log(2w(t + T))
Now, let's compare f(t + T) with f(t):
f(t + T) - f(t) = log(2w(t + T)) - log(2wt)
Using logarithmic properties, we can simplify this expression:
f(t + T) - f(t) = log[(2w(t + T))/(2wt)]
f(t + T) - f(t) = log[(t + T)/t]
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Letícia leaves the grocery store and walks 150.0 m to the parking lot. Then, she turns 90° to the right and walks an additional 70.0 m to her car. What is the magnitude of the displacement of her car from the grocery store exit?
Answer:
165.529454
Explanation:
According to the Pythagorean Theorem for calculating the lengths of a right angle triangle's sides, a^2 + b+2 = c^2, where c is the longest side (and the side opposing the right angle). So in your case it would be 150*150 + 70*70 = 27400. And √ 27400 is your answer.
9. Write the Boolean equation by using De Morgan equivalent gates and bubble pushing methods for this circuit.
The Boolean equation for the given circuit, using De Morgan equivalent gates and bubble pushing methods, can be written as follows:
(A + B)' + (C + D)' = Y
In the given circuit, we have two inputs, A and B, which are connected to the first OR gate. The output of this OR gate is inverted using a NOT gate. Similarly, we have inputs C and D, which are connected to the second OR gate. The output of this OR gate is also inverted using a NOT gate. Finally, the outputs of the two NOT gates are connected to a third OR gate, which gives us the output Y.
To write the Boolean equation, we can use De Morgan's theorem to simplify the circuit. De Morgan's theorem states that the complement of the sum of two variables is equal to the product of their complements. Using this theorem, we can rewrite the first part of the circuit as (A' * B') and the second part as (C' * D').
Applying the bubble pushing method, we can eliminate the NOT gates and rewrite the equation as (A' * B') + (C' * D') = Y.
This equation represents the logical relationship between the inputs A, B, C, D, and the output Y in the given circuit. It states that the output Y is the result of the OR operation between the complemented inputs A and B, and the complemented inputs C and D.
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explain why the age of the ocean floor bedrock increases as the distance from the mid-atlantic ridge increases?
Answer:
The age of the bedrock increases the further you get away from the mid atlantic ridge because it is at the ridge that the new bedrock is formed. At the Ridge, the diverging plates cause magma to rise up and harden, forming new bedrock. As this happens, the older bedrock is pushed outwards, further and further away from the Ridge.
Explanation:
Hope it helps.
A disk initially at rest is acted on by a constant net torque τ (think of this as force, F). The disk spins for a period of t seconds and rotates an angular distance of Δθ. The same disk is then brought to rest. The disk is now acted upon by a constant net torque 2τ (think of this as force, 2F). The disk spins for the same period of t seconds. What is the new angular distance the disk rotates?
The new angular distance the disk rotates is twice the original amount.
The solution is double the original amount because all you did was double the torque by two. The force that may cause an item to revolve along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque. The force acting on the axis determines the direction of the torque vector.
At first the torque is τ and after that the torque become twice and that is why the angular distance of the disk rotates also get twice to the original angular distance.
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Answer:
Double
Explanation:
Assuming that the system is initially at rest, if you double the torque while keeping the time period constant, the angular displacement will also double.
This can be explained by the equation of motion for rotational motion:
Δθ = (1/2) * α * t^2
where θ is the angular displacement, α is the angular acceleration, and t is the time period.
Torque is related to angular acceleration through the equation:
τ = I * α
where τ is the torque, and I is the moment of inertia.
If you double the torque while keeping the moment of inertia and time period constant, the angular acceleration will double as well (because of the arrow method).
Therefore, let's look at the equation.
Δθ = (1/2) * α * t^2
If α is doubled, then Δθ will also be doubled.
I hope this helped!
Determine the frequency of the radar wave. [Show all calculations, including the equation and substitution with units.]
The frequency of the radar wave is 4.166 Hz.
What is wavelength?The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.
Wavelength λ = 1/f
A 0.12-meter-long electromagnetic (radar) wave is emitted by a weather station and reflected from a near by thunderstorm.
The radar wave travels double the distance 0.12 m.
λ = 2 x 0.12 = 0.24 m
Then, the frequency of the radar wave is
f= 1 / 0.24
f =4.166 Hz
Thus, the frequency of the radar wave is 4.166 Hz.
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Why should a scientist not be concerned when a fellow scientist responds to their conclusions with skepticism?
HELP ASAP!!!
which statements below best describes colors, Check all that apply
black pigment is the absorption of red, green, and blue light.
black pignment is the reflection of red, green, and blue light
white light is the combination of red, green, and blue light
white pigment is the absorption of red, green, and blue light
Answer:
1)Black pigment is the absorption of red, green, and blue light.
3)White light is the combination of red, green, and blue light
7. A parachutist jumps from a plane and reaches a terminal velocity of 45.0 m/s. Once he
opens his parachute, he slows to 5.0 m/s it a span of 20 s. What was his rate of
deceleration?
(45. 0 m/s) - (5.0 m/s) ÷ 20
40 m/s ÷ 20 s = 2 meter second minus 2.
I am sry if my ans is wrong
ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
a child hits a ball with a force of 350 N. (a) If the ball and bat are in contact for 0.12 is, what impulse does the ball receive? (b) what is its change in momentum?
Explanation:
Given that,
Force with which a child hits a ball is 350 N
Time of contact is 0.12 s
We need to find the impulse received by the ball. The impulse delivered is given by :
\(J=F\times t\\\\J=350\times 0.12\\\\J=42\ N-m\)
So, the impulse is 42 N-m..
We know that he change in momentum is also equal to the impulse delivered.
So, impulse = 42 N-m and change in momentum =42 N-m.
Cuanta fuerza se necesita lara evitar que una piedra de 20N caiga?
Answer:
Reaction is 20N.
Explanation:
In general, Newton's third law of motion explains that when a force is applied on an object, a reaction of equal magnitude applies in the reverse direction of the force.
i.e F = -R
This implies that, reaction is a force in the opposite direction to that of the force applied.
Force can also be related to the weight of an object as;
F = W = mg
Thus to prevent the 20N stone from falling, a force of 20N is applied in the opposite direction. So the reaction, R is 20N.
Describe current in terms of charge and electrons.
PLEASE HELP I WILL GIVE BRAINLIEST
hiii please help i’ll give brainliest if you give a correct answer please thanks!
Answer:
I would say tension force the last one because the gravitational force brinsg it down more.
Explanation:
Dont mind if its wrong im sorry
A 8.73-g bullet is moving horizontally with a velocity of 345 m/s, where the sign indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1201 g, and its velocity is 0.714 m/s after the bullet passes through it. The mass of the second block is 1606 g. (a) What is the velocity of the second block after the bullet imbeds itself
Answer:
v₃ = 1.334 m/s
Explanation:
This problem can be solved using the law of conservation of momentum:
\(m_{1}u_{1} + m_{2}u_{2} + m_{3}u_{3} = m_{1}v_{1} + m_{2}v_{2} + m_{3}v_{3}\\\)
m₁ = mass of bullet = 8.73 g = 0.00873 kg
m₂ = mass of first block = 1201 g = 1.201 kg
m₃ = mass of second block = 1606 g = 1.606 kg
u₁ = initial speed of bullet = 345 m/s
u₂ = initial speed of first block = 0 m/s
u₃ = initial speed of second block = 0 m/s
v₁ = final speed of bullet = v₃ (since the bullet is embedded in second block)
v₂ = final speed of first block = 0.714 m/s
v₃ = final speed of second block = ?
Therefore,
\((0.00873\ kg)(345\ m/s)+(1.201\ kg)(0\ m/s)+(1.606\ kg)(0\ m/s)=(0.00873\ kg)(v_{3})+(1.201\ kg)(0.714\ m/s)+(1.606\ kg)(v_{3})\)
\(3.0118\ kg.m/s - 0.8575\ kg.m/s = (1.6147\ kg)(v_{3})\\\\v_{3} = \frac{2.1543\ kg.m/s}{1.6147\ kg} \\\)
v₃ = 1.334 m/s
an electric field of 2.0 x 10^4 n/c is directed along the positive x axis, what is the electric force on a eletron in this field what is the electric force on a proton in this field
The electric force on an electron in this electric field is 3.2 × 10⁻¹⁵ N, directed along the negative x-axis and the electric force on a proton is 3.2 × 10⁻¹⁵ N, directed along the positive x-axis.
To find the electric force on an electron and a proton in the given electric field, we will use the formula:
Electric Force (F) = Electric Field (E) × Charge (q)
The electric field (E) is given as 2.0 × 10⁴ N/C, directed along the positive x-axis.
1. For an electron:
Charge of an electron (q) = -1.6 × 10⁻¹⁹ C
F = E × q
F = (2.0 × 10⁴ N/C) × (-1.6 × 10⁻¹⁹ C)
F = -3.2 × 10⁻¹⁵ N
The electric force on the electron is -3.2 × 10⁻¹⁵ N, directed along the negative x-axis.
2. For a proton:
Charge of a proton (q) = 1.6 × 10⁻¹⁹ C
F = E × q
F = (2.0 × 10⁴ N/C) × (1.6 × 10⁻¹⁹ C)
F = 3.2 × 10⁻¹⁵ N
The electric force on the proton is 3.2 × 10⁻¹⁵ N, directed along the positive x-axis.
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guysss..pleaseee answer!
use calculations to explain why a person with a mass of 50kg would find it easier to jump on Earth than on Jupiter.
Answer:
Hello There!!
Explanation:
The answer is=>Because the value of gravatation on Jupiter is high in comparison with Earth and it will be hard to jump on Jupiter.
hope this helps,have a great day!!
~Pinky~
briefly explain what EMF of a cell cell is
Answer:
The emf of a cell is the sum of the electric potential differences (PDs) produced by a separation of charges (electrons or ions) that can occur at each phase boundary (or interface) in the cell. The magnitude of each PD depends on the chemical nature of the two contacting phases.
Explanation:
pls mark brainliest
The bottom of a flat-bottomed aluminum boat has area = 4.0 m2 and mass = 60 kg. If two fishermen and their fishing gear with total mass of 300 kg are placed in the boat, how much lower will the boat ride in the water? (H2O density = 1.0 ´ 103 kg/m3)
The boat sinks by about 9.07 cm when the fishermen and their gear are aboard.
What is Mass?
Mass is a fundamental property of matter that measures the amount of matter in an object. It is a scalar quantity and is typically measured in units of kilograms (kg) or grams (g). Mass is different from weight, which is the force exerted on an object by gravity and varies depending on the strength of the gravitational field.
First, we need to find the volume of water displaced by the boat. Since the boat has a flat bottom, we can assume that it displaces a volume of water equal to its submerged depth multiplied by its bottom area. Let's assume that the boat sinks by a depth of h meters when the fishermen and their gear are aboard. Then:
Volume of water displaced = 4.0 m^2 × h
The weight of the water displaced is equal to the weight of the boat and everything in it, which is:
Weight of boat and gear = (60 + 300) kg × 9.81 m/\(s^{2}\)= 3528.6 N
The buoyant force is then:
Buoyant force = Weight of water displaced = Volume of water displaced × density of water × g
where g is the acceleration due to gravity. We can set this equal to the weight of the boat and gear:
4.0 \(m^{2}\) × h × 1000 kg/\(m^{3}\) × 9.81 m/\(s^{2}\) = 3528.6 N
Solving for h, we get:
h = 0.0907 m
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