Answer:
1.25kg
Explanation:
Simply multiply volume and density together
A crate is pushed 1.50m horizontally with a force of 2.40N under an opposing force of friction of 0.600N. What is the NET work done on the crate?
Answer:
2.7 J
Explanation:
From the question,
The Net work done by the crate = Work done by the crate in moving if through a distance- work done against friction.
W = Fd-F'd.................... Equation 1
Where F = force applied to the crate, d = distance moved by the crate, F' = force of friction
Given: F = 2.4 N, F' = 0.6 N, d = 1.5 m
Substitute these values into equation 1
W = 2.4(1.5)-0.6(1.5)
W = 3.6-0.9
W = 2.7 J
Answer:
2.7 J
Explanation:
Given that
Distance pushed through, s = 1.5 m
Force of the push, F(push) = 2.4 N
Opposing force of friction, F(f) = 0.6 N
See attachment for solution
The net work done is a sum of the calculated work done, and is given as
W(net) = 3.6 +(-0.9) + 0 + 0
W(net) = 2.7 J
Thus, the net work done is 2.7 J
what are the importance of informal education?
Answer:
Informal education is important because it can help individual to learn how to react and control situations.
It help individual to improve on its existing knowledge, new skills or ideas. This kind of education can happen any where and it can add values to the learner.
Explanation:
Informal education is a type of education that is learned from different life experiences, happenings outside a structured curriculum.
Informal education is important because it can help individual to learn how to react and control situations.
It help individual to improve on its existing knowledge, new skills or ideas. This kind of education can happen any where and it can add values to the learner.
An 8.0-newton block is accelerating down a frictionless ramp inclined at 15° to the horizontal. What is the magnitude of the net force causing the block’s acceleration?
The magnitude of the net force causing the block’s acceleration is 8N.
We know that,
\(F_{x} = mg* cos\alpha\) (force along x - axis) and
\(F_{y} = mg* sin\alpha\) (force along y - axis)
The magnitude of net force is given by :
\(F_{net} = \sqrt{F_{x} ^{2} + F_{y} ^{2} }\)
\(F_{net} = \sqrt{(mg*cos\alpha )^{2} + (mg*sin\alpha )^{2} } \\F_{net} = \sqrt{(mg)^{2}[ (cos\alpha) ^{2}+(sin\alpha) ^{2} ] } \\F_{net} = mg\)
Given, weight = 8N and angle \(\alpha =\) 15°
We know that F (force) = ma = mg = weight
Putting these values in above equation we get ,
\(F_{net} = 8N\)
So the magnitude of the net force causing the block’s acceleration is 8N.
To know more about force visit:
https://brainly.com/question/14696026
#SPJ4
Your roommate is working on his bicycle and has the bike upside down. He spins the 66 cm
diameter wheel, and a pebble in the tread goes by 3 times every second.
what is the pebbles speed and acceleration?
The pebble's speed is 622.05 cm/s and its acceleration is 11682.22 cm/s².
The pebble's speed and acceleration can be found using the formulas for linear speed and centripetal acceleration.
First, we need to find the circumference of the wheel, since the pebble travels this distance every time it goes around the wheel.
Circumference = π × diameter = π × 66 cm = 207.35 cm
Next, we can find the pebble's linear speed by multiplying the circumference by the number of revolutions per second.
Linear speed = circumference × revolutions per second = 207.35 cm × 3 rev/s = 622.05 cm/s
Finally, we can find the pebble's centripetal acceleration using the formula:
Centripetal acceleration = (linear speed)² / radius = (622.05 cm/s)² / (66 cm / 2) = 385513.3 cm/s² / 33 cm = 11682.22 cm/s²
So, the pebble's speed is 622.05 cm/s and its acceleration is 11682.22 cm/s².
Answer: The pebble's speed is 622.05 cm/s and its acceleration is 11682.22 cm/s².
To know more about linear speed, refer here:
https://brainly.com/question/13100116#
#SPJ11
Air trapped in the cooling system could create undesirable areas of combustion heat buildup in the engine called _____.
Answer:
Air pockets.
Explanation:
Air pockets in the cooling system are bubbles of air trapped within the lines (hoses and pipes) of the cooling system. This air bubbles enter the cooling system usually during the process of filling the radiator coolant fluid (usually water), or replacing the water pump or the radiator hose during repairs or servicing of the cooling system. The trapped air prevent pressure movement that is needed by the coolant to move the heat generated from the engine cylinder, resulting in heat build up. The solution is to "bleed" the engine through the radiator lid or some air release valves.
Which of the following statements describes meta-analysis
Meta-analysis includes all of these such as systematic inclusion and exclusion criteria for studies, multiple, systematic searches to identify studies which answer a focused question, only quantitative studies are included in this. Thus, the correct option is B.
What is Meta-analysis?A meta-analysis is a statistical analysis which combines the results of multiple scientific studies. Meta-analyses of anything can be performed when there are multiple scientific studies available which are addressing the same question, with each of the individual study reporting measurements which are expected to have some degree of error in it.
The subjects from all the studies were pooled and statistically analyzed to determine the effect of the one thing such as relationship between wearing sunscreen and melanoma. This meta-analysis has been found to show a 50% reduction in the melanoma diagnosis among the sunscreen-wearers.
Therefore, the correct option is B.
Learn more about Meta-analysis here:
https://brainly.com/question/29442056
#SPJ1
Your question is incomplete, most probably the complete question is:
Which of the following describe meta-analysis?
A. Systematic inclusion and exclusion criteria for studies
B. All of these
C. Multiple, systematic searches to identify studies that answer a focused question
D. Only quantitative studies are included
E. None of these
20N
10N
40N
30N
Balanced or Unbalanced?
Answer:
Unbalanced
Explanation:
URGENT 50 POINTS
Show all Steps of your work.
7. Mohammed whose mass is 50kg swings back and forth on a long vine makes an angle 45 from the vertical resting position. His friend Abdella notices in amazement that he makes 30 complete swings in 2.0 minuies.
(a) What is the frequency (in hertz) of Tarzan's swing?
(b) What is the period of oscillation?
(c) How long is the vine he is using?
(d) Calculate the Restoring force on Mohammed?
The frequency of oscillation of the swing is 0.25 Hz.
The time period of oscillation of the swing is 4 s.
The length of the vine of the swing is 3.97 m.
The restoring force acting on Mohammed is 692.9 N.
Mass of Mohammed, m = 50 kg
Angle made by the vine with the vertical, θ = 45°
Number of complete swings made by Mohammed, n = 30
Time taken for this swing, t = 2 minutes = 120 seconds
a) The frequency of the swing is defined as the number of complete oscillations in one second.
So, the frequency of oscillation of the swing is,
f = n/t
f = 30/120
f = 0.25 Hz
b) The time period of oscillation of the swing is,
T = 1/f
T = 1/0.25
T = 4 s
c) The expression for the time period is given by,
T = 2π√(l/g)
T² = 4π² x (l/g)
l/g = T²/4π²
Therefore, the length of the vine of the swing is,
l = T²g/4π²
l = 4² x 9.8/4 x (3.14)²
l = 3.97 m
d) The restoring force acting on Mohammed,
F = mg sinθ
F = 50 x 9.8 x sin 45°
F = 490 x 1/√2 = 490/1.414
F = 692.9 N
To learn more about oscillation, click:
https://brainly.com/question/15780863
#SPJ1
A train travels 8.81 m/s in a -51.0° direction.
The train accelerates for 2.23 s, changing its
velocity to 9.66 m/s in a 37.0° direction.
What is [delta]x?
The displacement of the train after 2.23 seconds is 25.4 m.
Resultant velocity of the trainThe resultant velocity of the train is calculated as follows;
R² = vi² + vf² - 2vivf cos(θ)
where;
θ is the angle between the velocity = (90 - 51) + 37 = 76⁰R² = 8.81² + 9.66² - 2(8.81 x 9.66) cos(76)
R² = 129.75
R = √129.75
R = 11.39 m/s
Displacement of the trainThe displacement is calculated as follows;
Δx = vt
Δx = 11.39 m/s x 2.23 s
Δx = 25.4 m
Thus, the displacement of the train after 2.23 seconds is 25.4 m.
Learn more about displacement here: https://brainly.com/question/2109763
#SPJ1
You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
A. The average speed you can use to pull the safe is 1.02 m/s
B. The time needed to pull the safe up is 17.65 s
A. How do i determine the velocity?First, we shall obtain the force. This is shown below:
Mass of safe (m) = 60 KgAcceleration due to gravity (g) = 9.8 m/s² Force (F) =?F = mg
F = 60 × 9.8
F = 588 N
Finally, we shall obtain the average speed. Details below:
Power = 600 WForce = 588 NAverage speed =?Power = force × average speed
600 = 588 × average speed
Divide both sides by 588
Average speed = 600 / 588
Average speed = 1.02 m/s
B. How do i determine the time?The time needed to pull the safe up can be obtained as follow:
Average speed = 1.02 m/sTotal distance = 18 mTime = ?Time = Total distance / average speed
Time = 18 / 1.02
Time = 17.65 s
Learn more about average speed:
https://brainly.com/question/31770954
#SPJ1
Complete question:
You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
Part B
What is the time needed to pull the safe up?
A 75.0 kg man pushes on a 500,000 kg wall for 250 s but it does not move.
a. How much work does he do on the wall? ____________
b. How much energy is used?__________
c. How much power is exerted?____________
Since no work is done, the power exerted is zero. Therefore, the man exerts no power on the wall.
What is force?In physics, force is defined as any action that can change the motion of an object or cause an object to accelerate. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction. The unit of force in the International System of Units (SI) is the Newton (N), which is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg × 1 m/s^2). Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force plates. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. The study of forces and their effects on the motion of objects is known as mechanics and is a fundamental concept in physics.
Here,
a. The man does not do any work on the wall because the wall does not move. Work is only done when there is a displacement in the direction of the force applied.
b. Since no work is done, no energy is used or transferred.
c. The power exerted by the man can be calculated using the formula:
Power = Work / Time
To know more about force,
https://brainly.com/question/29044739
#SPJ9
An ant climbs vertically on a fence. Its motion is shown on the following graph of vertical position � yy vs. time � tt. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. What is the instantaneous speed of the ant at time � = 8 s t=8 st, equals, 8, start text, space, s, end text?
The instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s.
To find the instantaneous speed of the ant at time t=8s, we need to calculate the derivative of the displacement function with respect to time. Since the displacement of the ant is given by a piecewise function, we need to differentiate each segment of the function separately and then piece them together. From 0s to 4s, the displacement of the ant decreases linearly from 6m to 2m. The slope of this segment is -1m/s. From 4s to 7s, the displacement of the ant is constant at 2m. The slope of this segment is zero. From 7s to 9s, the displacement of the ant increases linearly from 2m to 5m. The slope of this segment is 1.5m/s. Finally, from 9s to 10s, the displacement of the ant is constant at 5m. The slope of this segment is zero.
Therefore, the instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s. This means that the ant is moving upwards at a constant speed of 1.5m/s at time t=8s. It's important to note that the instantaneous speed of the ant tells us how fast it's moving at a specific moment in time. It's not the same as the average speed over a given time interval, which would be calculated by dividing the total displacement by the total time elapsed.
For such more questions on instantaneous
https://brainly.com/question/30714626
#SPJ11
Please help me! I need help on this.
Answer:
light is captured through ozone layer.
Explanation:
as its the ozone layer that protects earth from the harmful radiation of the earth and store only the light and energy needed.
Fun Fact - ozone layer can provide light for about 7 minutes so if sun disappears, we won't even realise it for 7 minute straight.
A 4 kg box is at rest on a table. The static friction coefficient u, between the box and table is 0.30, and
the kinetic friction coefficient Hi is 0.10. Then, a 10 N horizontal force is applied to the box.
Answer:
The box will not move from its position.
Explanation:
First, we will calculate the static frictional force that is stopping the box to move from its position:
\(f = \mu R = \mu W=\mu mg\)
where,
f = static frictional force = ?
μ = coefficient of static friction = 0.3
m = mass of box = 4 kg
g = acceleration due to gravity = 9.81 m/s²
Therefore,
\(f = (0.3)(4\ kg)(9.81\ m/s^2)\\f=11.77\ N\)
Since the frictional force (11.77 N) is greater than the applied force (10 N).
Therefore, the box will not move from its position.
What is a lower fixed point in physics
In physics, a lower fixed point refers to the minimum temperature at which a particular substance or system can reach and below which it cannot be cooled further.
It is a fundamental concept in the study of thermodynamics, specifically in relation to phase transitions and the behavior of substances at low temperatures.
The lower fixed point is often associated with the concept of absolute zero, which is the lowest possible temperature in the Kelvin scale (-273.15 degrees Celsius or -459.67 degrees Fahrenheit).
At absolute zero, particles in a substance possess the minimum amount of energy and their motion ceases, resulting in the absence of thermal energy.
The lower fixed point serves as a reference point for temperature scales, such as the International Temperature Scale of 1990 (ITS-90), which defines temperature measurements based on fixed points like the melting point of certain substances and the triple point of water.
These fixed points provide reproducible and well-defined temperature values for calibration and measurement purposes.
Understanding the lower fixed point is crucial for various scientific and technological applications, such as cryogenics, superconductivity, and the study of quantum phenomena at extremely low temperatures.
By pushing the boundaries of cooling techniques, researchers aim to approach the lower fixed point and explore the fascinating properties and behaviors of matter at such extreme conditions.
for such more questions on physics
https://brainly.com/question/28308143
#SPJ8
PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
Learn about electron here https://brainly.com/question/13998346
#SPJ1
Use the following information to answer questions 2-4. Two people are playing a game of
tug-of-war with the rope attached to a mass of 25 kg at the center. The person pulling to
the left pulls with a force of 20 N. The person pulling to the right pulls with a force of 10 N.
2. Which direction will the 25 kg mass move?
a. Left
b. Right
C. It will not move
How do you know?
What will the velocity of the mass be after 1 second?
What will the velocity of the mass be after 2 seconds?
The direction in which the 25 kg mass will move is to the Left. The correct option is A.
This is because the force pulling to the left is greater than that to the right.
The velocity of the mass after 1 second will be 0.4 m/s
The velocity of the mass after 2 seconds will be 0.8 m/s
What is the net force on the mass of 25 kg?The net force o the mass of 25 kg is given below:
Net force = 20 N - 10 N
Net force = 10 N
The velocity of the mass is given by the formula below:
Velocity = net force * time / mass
velocity after 1 second = 10 * 1 / 25
velocity after 1 second = 0.4 m/s
velocity after 2 seconds = 10 * 2 / 25
velocity after 2 seconds = 0.8 m/s
Learn more about net force and velocity at: https://brainly.com/question/29112524
#SPJ1
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph.Can you draw the shapes for each type ?
Explanation:
Yes, there are differences in the shapes of position-time graphs for uniform acceleration and uniform deceleration in different directions. Let's consider each case separately:\(\hrulefill\)
(1) - Uniform acceleration towards the positive direction:
In this case, the object is moving in the positive direction with a constant acceleration. The displacement-time graph will typically be a curve that starts from an initial position and shows a steady increase in displacement over time. The shape of the graph will depend on the specific acceleration value.
(2) - Uniform acceleration towards the negative direction:
In this case, the object is moving in the negative direction with a constant acceleration. The displacement-time graph will also be a curve, but it will show a steady decrease in displacement over time.
(3) - Uniform deceleration towards the positive direction:
In this case, the object is initially moving in the positive direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a positive slope and gradually levels off.
(4) - Uniform deceleration towards the negative direction:
In this case, the object is initially moving in the negative direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a negative slope and gradually levels off.
4:21 pm Fri 23 Sep
GCSE Science - Physics
3 of 20
to
True or false? If the speed of an object doubles, its kinetic energy will also double.
false
true
Answer:
your answer is true
Explanation:
good luck :)
An electric heater of resistance 10.17 Ω draws 18.99 A. If it costs 22¢/kWh, how much will it cost, in pennies, to run the heater for 2.05 h?
Given:
The resistance of the heater is,
\(R=10.17\text{ ohm}\)The current through the heater is,
\(i=18.99\text{ A}\)The cost per kWh is,
\(22\text{ cents}\)To find:
The cost to run the heater for
\(t=2.05\text{ h}\)Explanation:
The energy used by the heater in this time is,
\(\begin{gathered} E=i^2Rt \\ =(18.99)^2\times10.17\times2.05 \\ =7518.39\text{ Wh} \\ =7.52\text{ kWh} \end{gathered}\)The cost to run the heater is,
\(\begin{gathered} 7.52\times22 \\ =165.44\text{ cents} \end{gathered}\)Hence, the cost to run the heater is 165.44 cents or 165.44 pennies.
Emmett is lifting a box vertically. Which forces are necessary for calculating the total force?
Fp, Ff, and Fg
Fp and FN
Fp, Fg, and Ff
Fp and Fg
Answer:
Answer is D: D.Fp and Fg
Explanation:
I did the quiz some time ago and rember it hope it helps.
Answer:
i just finish its d
Explanation:
HELP PLEASE
*on picture*
Assume that the car on the left makes a quick turn to the left. According to inertia, your body will resist a change and still want to go in the original direction. In which direction with the passenger slide?
Answer:
to the right
Explanation:
if the car turns to the lift, the body forces energy to the left side, so according to the first law of Newton, the body will move to the right side to resist the sudden motion.
At the end of the _____ era matter and antimatter annihilate each other. Because of a small imbalance in the ratio, the universe is left with only ______.
At the end of the Electroweak era, matter and antimatter annihilate each other. Because of a small imbalance in the ratio, the universe is left with only matter.
What is baryogenesis process?The baryogenesis process refers to the hypothetical mechanism or mechanisms that generated the observed baryon asymmetry in the universe which refers to the fact that there is much more matter than antimatter
If the universe were perfectly symmetric between matter and antimatter the particles and antiparticles would have annihilated each other completely leaving behind only radiation.
Learn more about antimatter at
https://brainly.com/question/30004199
#SPJ1
How much power does it take to lift a box with 350 newtons of force, 25 meters high, in 5 seconds? 70 watts 43,750 watts 2.8 watts 0 Points / 100
Answer:70 watts
Explanation: I took the test and got it correct
A 0.700kg block is attached to a spring with spring constant 15.0N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 37.0cm/s . What are
A. The amplitude of the subsequent oscillations?
B. The block's speed at the point where x= 0.400 A?
The amplitude of the subsequent oscillations is 0.08m and The block's speed at the point where x= 0.400 A is 0.34m/s.
a) conservation of energy
1/2 mv^2 = 1/2 kx^2 + 1/2 mv^2
0.7*.37^2 =15*x^2
x=0.08 m
b) The velocity is
1/2 mv^2 = 1/2 kx^2 + 1/2 mv^2
0.7*.37^2 = 15*(0.4*0.08)^2 + 0.7*v^2
v = 0.34 m/s
Oscillations refer to repetitive back-and-forth motions or fluctuations around a central equilibrium point. These motions can be observed in a wide range of physical systems, such as pendulums, springs, electrical circuits, and waves.Oscillations play an important role in many areas of science and engineering, including physics, chemistry, biology, and electronics.
Oscillations can be characterized by several key properties, including their amplitude (the maximum displacement from the equilibrium point), frequency (the number of oscillations per unit time), and period (the time required to complete one full oscillation). The behavior of oscillatory systems can be described using mathematical equations, such as the harmonic oscillator equation, which relates the restoring force to the displacement of the system from its equilibrium position.
To learn more about Oscillations visit here:
brainly.com/question/30111348
#SPJ4
A uniform electric field is directed upward and has a magnitude of 24 N/C. A charge of -6 C is placed in this
field.
The direction of the force on the charge placed in the electric field is upward.
True or False
The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.
The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.
The force on a charged particle in an electric field can be calculated using the formula:
F = q * E
Where F is the force, q is the charge of the particle, and E is the electric field.
Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:
F = (-6 C) * (24 N/C)
F = -144 N
The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.
The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.
Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.
For more such information on: force
https://brainly.com/question/12785175
#SPJ8
What happens to the amplitude of the resultant wave when two sound waves with equal amplitude constructively interfere?
Answer:
For two waves of equal amplitude interfering constructively, the resulting amplitude is twice as large as the amplitude of an individual wave. For 100 waves of the same amplitude interfering constructively, the resulting amplitude is 100 times larger than the amplitude of an individual wave.
A space probe is sent to an alien planet and conducts an experiment in order to determine the acceleration due to gravity on the planet. It produces the following table
Object Rock Grain of sand Metal bolt
Mass 20 grams 0.8 grams 79 grams
Recorded force of gravity :0.1224 N 0.00501 N 0.4871 N
Given this data, which of the following the closest approximation of the acceleration due to gravity on this planet
a
3.8 m/s^2
b
4.0 m/s^2
c
9.9 m/s^2
d
6.1 m/s^2
Answer: D. 6.1 m/s^2
Explanation:
1. Two charges are separated by a distance of 1 cm. One charge has a value of 7 micro Coulombs. The other charge has a value of 10 micro Coulombs. What is the force between them, in pounds. Make sure to include the sign of the force which will be positive if the charges repel each other and negative if they attract each other.
2. 12 gauge copper wire is normally used in house wiring. When aluminum wire is used one needs to use a smaller gauge size to obtain the same resistance, 40 ft of 12 gauge copper wire was calculated. What would the resistance be if 10 gauge aluminum wire were used?
3. A 12 V automobile battery can supply 51 amps for one hour and cost $194. What is the cost of this electricity in cents per kWh?
4. Most of the body's resistance is in its skin. When wet, salts go into ion form, and the resistance is lowered. Thus, the resistance of the skin can go from 100,000 ohms when dry to 300 ohms when wet. What is the current that would be carried through the body, in milliAmperes, if you touched a 240 V power line while dry? Currents over 10 mA are almost always deadly.
1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.
3. The cost of electricity from the automobile battery is 38.6 cents per kWh.
4. The current that would be carried through the body is 0.8 mA if dry.
1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.
2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.
Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.
3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.
Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.
4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.
To learn more about electricity, here
https://brainly.com/question/27545813
#SPJ1