The electric
potential
energy of this group of charges is approximately 0.3138 Joules.
To determine the electric potential
energy
of this group of charges, we can use the formula:
U = k * q1 * q2 / r
Where:
U is the electric potential energy,
k is the
Coulomb's constant
(k = 8.99 × 10^9 N m²/C²),
q1 and q2 are the charges, and
r is the distance between the charges.
In this case, we have four identical charges (+1.8 μC each) fixed to a straight line, with each
charge
0.56 m from the next. Since the charges are identical, we can pair them up and calculate the potential energy between each pair, and then sum up the total potential energy.
Let's calculate the potential energy between two adjacent charges and then multiply it by three to account for the other pairs:
U_pair = k * q^2 / r
where q = +1.8 μC and r = 0.56 m.
Plugging in the values:
U_pair = (8.99 × 10^9 N m²/C²) * (1.8 × 10^-6 C)^2 / 0.56 m
Calculating this expression:
U_pair = 0.1046 J
Now, we multiply the potential energy between two charges by three to account for the other pairs:
U_total = 3 * U_pair
U_total = 3 * 0.1046 J
U_total = 0.3138 J
Therefore, the
electric
potential energy of this group of charges is approximately 0.3138 Joules.
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A high-voltage power line carries a current of 110 A at a location where the Earth's magnetic field has a magnitude of 0.39 G and points to the north, 72° below the horizontal. Find the direction and magnitude of the magnetic force exerted on a 210-m length of wire if the current in the wire flows in the following directions. (If the elevation is 0°, choose "on the horizontal".)
(a) horizontally toward the east magnitude ______________ N
direction ________________at ___________°
(b) horizontally toward the south magnitude _____________N
direction ________________at____________°
(a) When the current flows horizontally toward the east, the magnitude of the magnetic force is approximately 9078 N, and the direction is upward at 90° from the horizontal. (b) When the current flows horizontally toward the south, the magnitude of the magnetic force is 0 N, and there is no specific direction associated with it.
To find the direction and magnitude of the magnetic force exerted on the wire, we can use the equation:
F = |B| * I * L * sin(θ)
where:
F is the magnetic force,
|B| is the magnitude of the magnetic field,
I is the current,
L is the length of the wire, and
θ is the angle between the current and the magnetic field.
Given:
Current, I = 110 A
Magnitude of the magnetic field, |B| = 0.39 G
Length of the wire, L = 210 m
(a) When the current flows horizontally toward the east:
θ = 90° (since the wire is perpendicular to the magnetic field)
Plugging in the values:
F = (0.39 G) * (110 A) * (210 m) * sin(90°)
F = (0.39 G) * (110 A) * (210 m) * 1
F ≈ 9078 N
The magnitude of the magnetic force is approximately 9078 N.
The direction of the magnetic force is perpendicular to both the current and the magnetic field. Since the wire is horizontal and the magnetic field points north (downward at 72° below horizontal), the magnetic force acts vertically upward.
Therefore, the direction of the magnetic force is upward, and the angle is 90°.
(b) When the current flows horizontally toward the south:
θ = 180° (since the current and the magnetic field are parallel and in opposite directions)
Plugging in the values:
F = (0.39 G) * (110 A) * (210 m) * sin(180°)
F = (0.39 G) * (110 A) * (210 m) * 0
F = 0
The magnitude of the magnetic force is 0 N.
Since the magnetic force is zero, there is no direction associated with it.
Therefore, the magnitude of the magnetic force when the current flows horizontally toward the south is 0 N, and there is no specific direction.
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If a spring is stretched to twice the lengtj of its equilibrium position, by what factor does the energy stored in the spring change?
Answer:
the energy increases 4 times
Explanation:
A spring has an elastic potential energy that is given by the expression
K_e = ½ K (x-x₀)²
where x is the distance from the equilibrium point and k is the return constant
if the spring is stretched at x-x₀ = 2x₀, the energy value
K_e = ½ k (2x₀)²
K_e = ½ k 4 x₀²
K_e = 4 (½ k x₀²)
\(\frac{K_e}{ \frac{1}{2} k x_o^2}\) = 4
therefore the energy increases 4 times
The energy stored in the spring changes by a factor of 4
The formula for calculating the energy stored in the spring is expressed as:
\(E=\frac{1}{2}ke^2\)
If the spring is stretched to twice the length of its equilibrium position
\(E_2=\frac{1}{2}(2k)^2\\E_2=\frac{1}{2}4k^2\)
Take the ratio of the energy stored in the spring
\(\frac{E_2}{E} =\frac{1/2(4kx^2)}{1/2kx^2}\\ \frac{E_2}{E} =\frac{4}{1}\\E_2 = 4E\)
This shows that the energy stored in the spring changes by a factor of 4
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Which air mass would form over warm water?(1 point)
maritime tropical
continental tropical
continental polar
maritime polar
Answer:
A.) Maritime Tropical (mT)
Explanation:
Continental tropical is the air mass that forms over warm land.
Maritime Polar is the air mass that forms over cold water.
Continental polar is the air mass that forms over cold land.
So therefore A or Maritime Tropical is the correct answer
a 142 n force is the net force acting on a 26.0 kg object that starts from rest. at the instant the object has gone 5.00 m the rate at which the force is doing work is
The rate at which the force is doing work on the object is 710 watts.
To calculate the rate at which the force is doing work on the object, we need to use the formula for work:
Work = Force × Distance × cos(θ)
where θ is the angle between the force and the direction of motion. In this case, the object starts from rest, so the angle between the force and the direction of motion is 0 degrees (cos(0) = 1).
Net force (F) = 142 N
Mass of the object (m) = 26.0 kg
Distance (d) = 5.00 m
First, we calculate the magnitude of the force:
F = ma
where a is the acceleration of the object. Since the object starts from rest, the initial velocity (u) is 0, and we can use the equation:
v^2 = u^2 + 2ad
where v is the final velocity.
Since the object starts from rest, the equation simplifies to:
v^2 = 2ad
Solving for v:
v = √(2ad)
v = √(2 × 142/26.0 × 5.00)
v ≈ 5.18 m/s
Now, we can calculate the rate at which work is done:
Work = F × d × cos(0)
Work = 142 N × 5.00 m × 1
Work ≈ 710 joules
Since work is the energy transferred per unit time, the rate at which work is done, or power (P), is given by:
Power = Work / time
However, the time is not given in the question. Therefore, we cannot calculate the exact power value.
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How do longshore currents shape the land?
Answer:
Longshore drift has a very powerful influence on the shape and composition of the coastline. It changes the slopes of beaches and creates long, narrow shoals of land called spits, that extend out from shore. Longshore drift may also create or destroy entire “barrier islands” along a shoreline.
Figure shows the variation of Coulomb force (F) Vs. 1/ for two point charges kept in two different media A
2
and B having different values of electrical permittivity. Which out of these two media has greater value of
dielectric constant? Why
Media B has a greater value of dielectric constant compared to media A. The dielectric constant, also known as the relative permittivity, measures a material's ability to store electrical energy in an electric field.
In the given scenario, as the Coulomb force (F) is plotted against 1/∈ (inverse of electrical permittivity), the slope of the graph represents the dielectric constant. If the slope is steeper, it indicates a higher dielectric constant. Therefore, media B has a greater dielectric constant than media A.
The dielectric constant quantifies the extent to which a material can polarize and store electric charge in an electric field. It is a measure of the material's ability to permit or resist the formation of an electric field. In the given scenario, the graph of Coulomb force (F) versus 1/∈ is plotted, where F represents the force between two point charges and ∈ represents the electrical permittivity.
By analyzing the graph, we observe that the slope of the graph represents the dielectric constant. A steeper slope indicates a higher dielectric constant. Therefore, when comparing the two media A and B, if the graph for media B has a steeper slope, it implies that media B has a greater dielectric constant compared to media A.
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Dave Ramsey mentions that insurance is the defense for managing your money. Why is this true?
It is true that insurance is the defense for managing money because it ensures that your money is efficiently utilized even in your absence.
What is insurance?Insurance refers to a means of indemnity against a future occurrence of an uncertain event such as an accident, death, robbery etc.
Insurance is a way to protect one's assets from getting lost when faced with unforeseen circumstances.
For example;
A liability insurance protects one in case another person sues for injuries or loss caused by one's negligence or improper actions. Life insurance protects one's beneficiaries from loss of income by paying them money after one's death.Therefore, it is true that insurance is the defense for managing money because it ensures that your money is efficiently utilized even in your absence.
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A train is traveling N at 45 m/s. After 10s, it is traveling at 90 m/s. What is it's acceleration?
Answer:
The train's acceleration is 4.5 m/s²
Explanation:
The train's speed increased by 45 m/s after 10 seconds, which means that it's speed increased by 4.5 m/s each second, or rather 4.5m/s²
a body of mass 0.5kg is shot vertically into the air with an initial speed of 45m/s
, calculate the time taken to reach the maximum height
Answer:
The time to reach the maximum height is approximately 4.59 seconds
Explanation:
The maximum height in a problem where friction with the air is neglected, only needs the kinematic information of the initial velocity at which the object was launched vertically.
Recall that the formula for the velocity of an object under constant acceleration (\(a\)) in terms of time (t) is given by:
\(v(t)=v_0+a\,\,t\)
where \(v_0\) is the initial velocity of the object (in our case the speed at which it was launched up in the air = 45 m/s)
Considering that the acceleration the object is subjected (which is the acceleration of gravity g = 9.8 m/s^2) is acting in opposite direction to the initial velocity of the object, we make sure to include a negative sign in the formula:
\(v(t)=v_0+a\,\,t=v_0-g\,\,t\)
then, considering that at the time the object reaches its maximum height, is when it stops and starts it motion back towards earth, that is the point at which the object's velocity is zero. Then we can solve for the time as follos:
\(0=v_0-g\,\,t\\g\,\,t=v_0\\t=\frac{v_0}{g} \\t=\frac{45}{9.8} \\t\approx 4.59\,\,sec\)
Help please answer all if ya can please
Answer:
1. Privacy
-The state or condition of being free from being observed or disturbed by other people.
2. Commitment
-The state or quality of being dedicated to a cause, activity, etc.
3. Profile
-There are multiple answers for this word so I'm not sure which is the one you need.
4. Widow
-A woman who has lost her spouse by death and has not remarried.
5. Aristocrat
-A member of the aristocracy.
6. Affordable
-Inexpensive; reasonably priced.
7. Variable
-A symbol for a value we don't know yet. It is usually a letter like x or y.
Explanation:
Earth's orbit around the sun is almost circular, which explains why earth receives about the same amount of ______ year-round.
Answer: Heat and Light
Explanation:
at resonance, a driven rlc circuit has vc = 5.0 v , vr = 8.0 v , and vl = 5.0 v .
At resonance, a driven RLC circuit has VC = 5.0 V , VR = 8.0 V , and VL = 5.0 V , the peak voltage is 8.0
What is meant by peak voltage?The maximum voltage value relative to zero volts is known as peak voltage, abbreviated as VP. Since it expresses the greatest value of the waveform, the amplitude is comparable to the peak value. In waveform analysis, the peak and amplitude values are more frequently used than in AC electrical work.
The utmost or peak voltage the source can or will achieve is what the term "AC peak voltage" denotes. Peak voltage is measured from the horizontal axis and is referred to as VP.
The formula for resonance is given as:
\(Vo=(VR^2+(VL-VC)^2)^1^/^2\)
From the question, we have
Vr = 8 . 0
VL = 5 . 0 c
VC = 5. 0 c
We have to put these values in the formula
we would have
\(Vo = 8.0^2 + (5.0 - 5.0)^1^/^2\)
Vo = 8.0
Hence the peak voltage is 8.0
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At resonance, a driven RLC circuit has VC = 5.0 V , VR = 8.0 V , and VL = 5.0 V . What is peak voltage across the circuit?
What's 6 to the power of 3
Answer:
216
Explanation:
6x6x6
Answer:
umm divideing? 2
mutiplying? 18
Explanation:
How use of SI units in daily life is important .
Answer:
SI units are the physical units of measurement. SI units include kilogram, meter, second, ampere, kelvin, candela, and mole etcetera.
SI units are very important for daily life while measuring daily life commodities, such as:
Use of kilograms and grams while buying or selling sugar or other food items.Use of kilometers and meters while covering distances.Use of meters or inch by carpenters while estimating the lengths for furniture.Use of hours, seconds and minutes to measure time duration.Use of ampere and volt to measure current and voltage respectively by electricians.Without SI units, it would be difficult to meausre the amount of object required or any other measurement object.
how do you find work when only given the angle a sled is pulled, the mass, the coefficent of kinetic friction and distance
Answer:
W = F * s
Work done equals applied force * distance traveled
Apparent weight = M g (1 - sin θ) since some of applied force will lighten sled
μ = coefficient of kinetic friction
F cos θ = force applied to motion of sled
s = distance traveled
[μ M g (1 - sin θ)] cos θ * s = work done in moving sled
Note that F = μ M g if applied force is in the horizontal direction
Because the man is slowing down, his velocity decreases over time. Use the final and starting velocities in the data table to calculate his average acceleration. Use the equation , where t is time, ux is initial velocity, vx is final velocity, and ax is acceleration. Use time t = 2.2 seconds, which is calculated using values from the table (2.4 − 0.2).
Answer:
\(the \: ( - )acceleration \: or\\ \: reterdation = \frac{( v_{x} -u_{x}) }{2.2} {m(s)}^{ - 2} \)
Explanation:
\(if \: initial \: velocity \: = u_{x} \\ if \: final \: velocity \: = v_{x} \\ if \: time \: is \: = 2.2s \\...(since \: displacement \: is \: not \: mentioned) \\ the \: required \: equation \: for \: motion\: is : \\ v_{x} = u_{x} + at \\ a = \frac{( v_{x} -u_{x}) }{t}= \frac{( v_{x} -u_{x}) }{2.2} {m(s)}^{ - 2} \\ \\ note.......you \: did \: not \: provide \: the \: actual \\ value \: of \: v_{x} \: and \: u_{x}. \\ just \: insert \: thier \: values \: in \: the \: above \\\: equation \: i \: proided \: to \: get \: the \: acceleration. \\ the \: value \: of \: this \: acceleration \: should \: be\\ \: negative \: since \: it \: decreses \: with \: time \: (reterdation).\)
Answer: a = 0.795 m/s
Explanation:
4.34 - 2.59 = 1.75
1.75 / 2.2 = average accleration
A mountain climber has a mass of 80kg. Determine his loss of weight in going from the foot of Mount Everest at an altitude of 2440 meters to its top at an altitude of 8848m. Mount Everest has latitude of 280N, and the mean radius of the earth is 6371km
To determine the loss of weight for the mountain climber when ascending Mount Everest, we need to consider the change in gravitational force due to the change in altitude. The weight of an object can be calculated using the formula:
Weight = mass × acceleration due to gravity
The acceleration due to gravity varies with altitude due to the change in distance from the center of the Earth. The acceleration due to gravity at sea level (g₀) is approximately 9.8 m/s².
First, we need to calculate the acceleration due to gravity at the foot of Mount Everest:
g₁ = g₀ × (r₀ / (r₀ + h₁))²
where r₀ is the mean radius of the Earth and h₁ is the altitude at the foot of Mount Everest.
Next, calculate the acceleration due to gravity at the top of Mount Everest:
g₂ = g₀ × (r₀ / (r₀ + h₂))²
where h₂ is the altitude at the top of Mount Everest.
Now we can calculate the initial weight of the climber:
Weight₁ = mass × g₁
And the final weight of the climber:
Weight₂ = mass × g₂
Finally, calculate the loss of weight:
Loss of weight = Weight₁ - Weight₂
Given:
Mass of climber (m) = 80 kg
Altitude at foot of Mount Everest (h₁) = 2440 m
Altitude at top of Mount Everest (h₂) = 8848 m
Mean radius of the Earth (r₀) = 6371 km = 6371000 m
Acceleration due to gravity at sea level (g₀) = 9.8 m/s²
Let's plug in the values and calculate the loss of weight:
g₁ = 9.8 × (6371000 / (6371000 + 2440))² ≈ 9.8018 m/s²
g₂ = 9.8 × (6371000 / (6371000 + 8848))² ≈ 9.7827 m/s²
Weight₁ = 80 × 9.8018 ≈ 784.144 N
Weight₂ = 80 × 9.7827 ≈ 782.616 N
Loss of weight = 784.144 - 782.616 ≈ 1.528 N
Therefore, the loss of weight for the mountain climber in going from the foot of Mount Everest to its top is approximately 1.528 Newtons.
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Determine the resultant moment of the forces acting about the x, y, and z axes. Suppose that f1 = 200 n, f2 = 60 n, f3 = 115 n, and f4 = 300 n. (figure 1).
Based on the forces acting on the axes, the resultant moments will be (345, 400, 600 N·m)
What would be resultant moment about x-axis?= F₃ x 3
= -115 x 3
= -345 N·m
What would be resultant moment about y-axis?= F₁ x 2
= -200 x 2
= -400 N·m
What would be the resultant moment about z-axis?= F₄ x 2
= -300 x 2
= - 600 N·m
In conclusion, the resultant moment about x, y, and z axes is (345, 400, 600 N·m)
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what is observed when a charged perspex rod is placed close to a suspended polystyrene sphere
When a charged body is placed near the conductor, the opposite charge is appeared on the one side of the uncharged conductor body near the charged body under the effect of induction.
The opposite charge on the another body is also known as the induced charge.
The perpex rod in the given question is charged.
let the charge on the perpex is positive as shown in the figure.
Then, the polystrene sphers (insulator uncharged sphere) will not have any charge induced as the charges are not free to move inside the insulator.
Thus, when a charged perspex rod is placed close to a suspended polystyrene sphere then the induced charge on the sphere is not observed under the phenomenon of induction process and sphere remain uncharged.
Help pls ;) and thank you
Answer:
1a) Transverse wave.
1b) Ripples on the surface of water.
1c) See first attachment.
1d) See below for explanation.
2a) Longitudinal wave.
2b) Sound waves.
2c) See second attachment.
2d) See below for explanation.
Part 2) 54 m/s
Explanation:
Part 1Question 1a) The wave in the picture is a transverse wave.
In transverse waves, the oscillations are at right angles to the direction of wave travel.
b) A real world example of a transverse wave is ripples on the surface of water.
c) See first attachment.
The crest is the highest point.The trough is the lowest point. The wavelength is one full wave cycle measured from crest to crest, or trough to trough.d) The amplitude is the maximum displacement of a point of a wave from its resting position. It is measured by calculating the difference in height between a crest and the resting position (mid-line).
Question 2a) The wave in the picture is a longitudinal wave.
In longitudinal waves, the oscillations are parallel to the direction of wave travel.
b) A real world example of a longitudinal wave is sound waves.
c) See second attachment.
Compression: The region where the particles are compressed together.Rarefaction: The region where the particles are spread apart.Wavelength: One full wave cycle measured from one compression to the next compression, or from one rarefaction to the next rarefaction.d) The amplitude is the maximum displacement of a point of a wave from its resting position. It is measured by calculating the distance between the particles in the areas where it is compressed.
Part 2Wave Speed
\(\large\boxed{v=f \lambda}\)
where:
v = Wave speed measured in meters per second (m/s).f = Frequency measured in Hertz (Hz).λ = Wavelength measured in meters (m).Given values:
Frequency = 60.0 HzWavelength = 0.90 mSubstitute the given values into the formula and solve for speed:
\(\implies v=60.0 \times 0.90\)
\(\implies v=54\;\sf m/s\)
Therefore, the speed of the wave is 54 m/s.
HELP PLZZZ
Which optical devices can form images that are larger than the original
object?
Answer: B- A and C
Explanation:
A P E X
The optical devices uses light. The correct option for the optical devices can form images that are larger than the original object is B i.e A and C.
What is optical device?The device which uses light for the meaningful purpose is called optical devices.
The device which form the images larger than the object are the converging type of lens or mirror.
The lens which is converging is the convex lens denoted by C in diagram and the converging mirror is the concave mirror denoted by A.
Therefore, the correct option for the optical devices can form images that are larger than the original object is B i.e A and C.
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Why does a ball not bounce back up to its original height?
Answer:
Gravity
Explanation:
A block of density 2400 km/m3 has a volume of 0.20 m3 what is it's mass
Answer:
Data:
D = 2400 kg/m³
V = 0.20 m³
M = ?
∴ Density = \(\frac{Mass}{Volume}\)
2400 kg/ = \(\frac{Mass}{0.2 m^{3} }\)
Mass = 2400 kg/m³ × 0.20 m³
Mass = 480 kg (answer)
Answer:
Therefore, the mass of the block is 480 kg.
Consider this situation: A block is at rest on an inclined
plane. Of the forces listed, identify which act upon the block.
•normal
•gravity
• applied
• friction
•tension
• air resistance
The forces, act upon the block which is at rest on an inclined plane, are:
normal force.force due to gravity.force due to friction.What is frictional force?Two surfaces that come into contact and glide against one another produce frictional force.
When the block is on an inclined plane, its weight is acting downwards for force of gravity, the surface on the plane acts an upward force named normal force. But to become it rest, a resistive frictional force acts on it. Hence, the forces, acts upon the block, are:
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Using the rules for significant figures, what do you get when you multiply 67.6 by 1.2?
Answer:
81
Explanation:
The problem here is to use the rules for significant figures in the multiplication below.
67.6 x 1.2:
This product will yield an answer that will produce the least number of significant figures.
67.6 has 3 significant figures; 6, 7 and 6
1.2 has 2 significant figures; 1 and 2
The product must give us an answer of two significant figures:
67.6 x 1.2 = 81.12 to 2significant figures gives 81
The solution to this problem is 81
A force 10n causes a spring to extend by 20mm.find:
a) the spring constant of the spring in n/m.
b) the extension of the spring when 25n is applied
c) the force applied that causes an extension of 5mm
In the event that the spring's force spring constant is 500 N/m A spring extends by 20mm with a force of 10n.
What does a scientific force mean?The term "force" is defined precisely in science. The terms "push" and "pull" are perfectly acceptable at this level to describe forces. An object does not have a force inside of it or within it. Another object applies a force to the first. Both living things and non-living things can be considered to be part of a force.
Which example best illustrates force?10 = k x and x = 20 * 10-3 meter x Equals (10 /20)
10^3 = .
5 * 10^3 = 500 K data
The normal force operates in the opposite direction from how surfaces interact with one another. A force called friction prevents motion on surfaces. A few other non-fundamental forces are the elastic force, tension, or frame-dependent forces like the Coriolis and centrifugal forces.
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1510 3. A body has initial velocity 2 m s¹. After it moves 50 m with a constant acceleration„the velocity becomes 12 m s¹. How long will it take?
Answer:
-1+√251/5 s
Explanation:
The most appropriate equation of motion for this question is; s= ut+(at^2)/2
t=-1+√251/5 s
A 0.02kg ice cube was melted at 0°C by an application of heat which further increased the temperature
of the resulted water to 40°C. Calculate the total heat supplied to the system within this temperature
range (hint: specific latent heat of fusion of water is 3.34 x 105 Jkg¹, the specific heat capacity of water
is 4200Jkg ¹K¹).
Total heat supplied to the system within this temperature range is 10040 J.
What is meant by heat?Heat refers to the energy that is released or absorbed during any chemical reaction.
Melting of the ice:
Amount of heat required to melt the ice is given by the equation: Q = mLf
Q is heat required, m is mass of the ice, and Lf is specific latent heat of fusion of water.
Q = (0.02 kg) × (3.34 × 10^5 J/kg)
Q = 6680 J
Therefore, the heat required to melt the ice is 6680 J.
Heating of the water:
Amount of heat required to raise the temperature of the water from 0°C to 40°C is given by the equation: Q = mcΔT
Q is heat required, m is mass of the water, c is specific heat capacity of water, and ΔT is change in temperature.
Q = (0.02 kg) × (4200 J/kg.K) × (40°C - 0°C)
Q = 3360 J
Therefore, heat required to heat the water from 0°C to 40°C is 3360 J.
Qtotal = Qmelting + Qheating
Qtotal = 6680 J + 3360 J
Qtotal = 10040 J
Therefore, total heat supplied to the system within temperature range is 10040 J.
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pp Evaluate the formula z = pg 125 when po 110. n = 410, p=0.25, and q=1-p. n =(Round to two decimal places as needed.)
Providing you with the general process of evaluating the formula. To round the result to two decimal places, apply rounding rules after obtaining the final value.
To evaluate the formula z = p×g^125, we need to substitute the given values of p, g, and n.
Given:
p = 0.25
g = 125
n = 410
First, we need to calculate q× (1-p):
q = 1 - p = 1 - 0.25 = 0.75
Now we can substitute the values into the formula:
z = p × g^125
z = 0.25 × 125^125
Calculating 125^125 would result in an extremely large number that is beyond the capability of this text-based interface. However, providing you with the general process of evaluating the formula:
Calculate p ×g, which in this case would be 0.25 × 125.
Take the result of step 1 and raise it to the power of 125, which represents g^125.
Multiply the value obtained in step 2 by p to find z.
To round the result to two decimal places, apply rounding rules after obtaining the final value.
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How powerful is an engine that can do 400 J of work in 10 seconds?
(Provide your answer in both "Watts" and "horsepower".)
Answer:
\(P=40 \ W\)
Conceptual:
What is work?Work is simply the transfer of work over a displacement. Work is a Newton-meter which is called a Joule, J. Work can be calculated using the following formulas.\(\boxed{\left\begin{array}{ccc}\text{\underline{Equations for Work:}}\\W=F \Delta rcos(\theta) \ \text{(Constant} \ \vec F) \\W= \int\limits^{r_2}_{r_1} {Fcos(\theta)} \, dr \ \text{(Varible} \ \vec F) \end{array}\right }\)
The angle "θ" is the angle between the force applied and the direction of displacement.
What is power?Power is the amount work done per second, which is a J/s, and this is clumped together to create a Watt, W. Power can be calculated using the following formula.\(\boxed{\left\begin{array}{ccc}\text{\underline{Formula for Power:}}\\\\P=\frac{W}{t} \end{array}\right}\)
Explanation:
Given that an engine does 400 J of work in 10 seconds. Find the power of the engine.
\(W=400 \ J\\t=10 \ s\)
Plug these values into the formula for power.
\(P=\frac{W}{t} \\\\\Longrightarrow P=\frac{400}{10}\\\\\therefore \boxed{P=40 \ W}\)
Thus, the engines power is calculated.