The velocity of the tennis ball after the collision is 20.2 m/s [E].
mass of the tennis ball, m = 0.0585 kg
initial velocity of the ball, u = 19.4 m/s [W]
applied force on the ball, F = 24 N [E]
time, t = 0.15 s
Using the formula for force, F = m × a, we can calculate the acceleration of the ball as:
a = F/m
a = 24 N [E] / 0.0585 kg
a = 410.26 m/s² [E]
We know the initial velocity of the ball and the time for which the force is applied. We can use the formula v = u + at to find the final velocity of the ball:
v = u + at
v = 19.4 m/s [W] + 410.26 m/s² [E] × 0.15 s
v = 20.2 m/s [E]
Therefore, the velocity of the tennis ball after the collision is 20.2 m/s [E].
The final velocity of the tennis ball after the collision is calculated to be 20.2 m/s [E] using the formula v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.
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An aircraft A is flying at a constant speed of 270 m/s at a constant height of100 m above the surface of the earthThe aircraft directs a radar beam of wavelength 1.0 cm at a target T on the Earth's surface. After 90 us, an echo from the target is detected on the aircraft the frequency of the radar waves is 3 x 10^10Hz, find
(a) the speed of the radar waves
(b) the distance AT between aircraft and target
(c) the time which elapses before A is vertically above T.
A) The speed of the radar waves = 3 x 10^8 m/s
B) The distance between the aircraft and the target is 27 km.
C) It takes 100 seconds for the aircraft to be vertically above the target.
Radar wave speed, distance and time(a) The speed of the radar waves can be found using the formula:
speed of light = frequency x wavelength
Since radar waves are a type of electromagnetic waves and travel at the speed of light, we can use the above formula to find the speed of the radar waves:
speed of radar waves = speed of light = 3 x 10^8 m/s
(b) To find the distance AT between the aircraft and the target, we can use the formula:
distance = (speed x time) / 2
where speed is the speed of the radar waves (which we found to be 3 x 10^8 m/s), and time is the time taken for the radar waves to travel to the target and back (which is twice the time it took for the echo to be detected on the aircraft).
time taken for radar waves to travel to target and back = 2 x 90 us = 180 us = 1.8 x 10^-4 s
So, the distance between the aircraft and the target can be calculated as:
distance AT = (speed of radar waves x time taken for radar waves to travel to target and back) / 2
= (3 x 10^8 m/s x 1.8 x 10^-4 s) / 2
= 27 km
Therefore, the distance between the aircraft and the target is 27 km.
(c) To find the time which elapses before A is vertically above T, we can use the formula:
time = distance / speed
where distance is the horizontal distance between the aircraft and the target (which we found to be 27 km), and speed is the speed of the aircraft (which we were not given, but we can assume is constant).
Since the aircraft is flying at a constant speed, the time it takes to travel the horizontal distance between the aircraft and the target is the same as the time it takes for the aircraft to be vertically above the target. Therefore, the time which elapses before A is vertically above T is:
time = distance / speed
= 27 km / (270 m/s)
= 100 s
Therefore, it takes 100 seconds for the aircraft to be vertically above the target.
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what is the definition of energy in scientific terms?responses a force used on an object a force used on an object a change in temperature a change in temperature the motion of an object the motion of an object the ability to do work
Answer: The ability to do work.
Explanation: Scientists define energy as the ability to do work. There is potential energy (where an object at rest has the capacity to have motion) and kinetic energy (where an object is in motion).
The condenser transfers energy from the coolant to the air in the building.
When the total energy input to the heat pump system is 1560 kJ the temperature of the air
in the building increases from 11.6 °C to 22.1 °C.
The efficiency of the heat pump system is 87.5%.
The mass of the air inside the building is 125 kg.
Calculate the specific heat capacity of the air in the building.
Give your answer in standard form.
Answer:
Approximately \(1.04 \; {\rm J \cdot g^{-1} \cdot K^{-1}}\).
Explanation:
Multiply energy input by efficiency to find the useful energy output:
\(\begin{aligned}& (\text{useful out}\text{put}) \\ &= (\text{efficiency})\, (\text{energy in}\text{put}) \\ &= (87.5\%)\, (1560\; {\rm kJ}) \\&= (0.875)\, (1560\; {\rm kJ}) \\ &= 1365\; {\rm kJ}\end{aligned}\).
In other words, \(1365\; {\rm kJ}\) of energy was supplied to the air in the building.
The standard unit of energy is Joules (\({\rm J}\).) Apply unit conversion:
\(\begin{aligned}(1365\; {\rm kJ})\, \left(\frac{10000\; {\rm J}}{1\; {\rm kJ}}\right) = 1.365\times 10^{6}\; {\rm J}\end{aligned}\).
Let \(c\) denote the specific heat capacity of the air in this building. Let \(m\) denote the mass of the air.
Let \(Q\) denote the energy supplied to the air. Let \(\Delta T\) denote the change in temperature. The equation \(Q = c\, m\, \Delta T\) relates these quantities.
In this question, the change in the temperature of the air in this building is:
\(\Delta T = (22.1\; {\rm ^{\circ} C}) - (11.6\; {\rm ^{\circ} C}) = 10.5\; {\rm K}\).
Rearrange the equation \(Q = c\, m\, \Delta T\) to find specific heat capacity \(c\):
\(\begin{aligned}c &= \frac{Q}{m\, \Delta T} \\ &= \frac{1.365 \times 10^{6}\; {\rm J}}{(125\; {\rm kg})\, (10.5\; {\rm K})} \\ &\approx 1.04 \times 10^{3}\; {\rm J \cdot kg^{-1} \cdot K^{-1}}\end{aligned}\).
Which of the following sets of quantum numbers (n, 1, ml, ms) refers to an electron in a 3d
orbital?
A) 2, 0, 0, -1/2
B) 5, 4, 1, -1/2
C) 4, 2, -2, +1/2
D) 4, 3, 1, -1/2
E) 3, 2, 1, -1/2
The set of quantum numbers (n, l, ml, ms) that refers to an electron in a 3d orbital is 4, 3, 1, -1/2. Option C is the correct answer.
The quantum numbers (n, l, ml, ms) describe the properties of an electron in an atom. For an electron in a 3d orbital, the correct set of quantum numbers is (4, 2, -2, +1/2).
The principal quantum number (n) represents the energy level or shell of the electron. In this case, it is 4.
The azimuthal quantum number (l) specifies the subshell or orbital shape. For a 3d orbital, it is 2.
The magnetic quantum number (ml) determines the orientation of the orbital within the subshell. Here, it is -2.
The spin quantum number (ms) describes the spin state of the electron. It can be either +1/2 or -1/2, and for this case, it is +1/2.
Therefore, option C) 4, 2, -2, +1/2 refers to an electron in a 3d orbital.
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what do you mean by force
Answer:
a force is a movement on a object such as kinetic energy
the sound intensity levels for a machine shop and a quiet library are 85 db and 40 db, respectively. what is the difference between the intensity of the sound in the machine shop and that in the library?
A point's sound intensity level is expressed in logarithmic units of decibels (dB) as a ratio between the sound there and the threshold of hearing.
A 30 dB sound has what kind of volume?Whispering is audible at 30 dB. 40 dB: Quiet sounds from the library. Fridge at 50 dB. Electric toothbrush at 60 decibels.
What decibel sound has a 95-decibel intensity?In decibels, sound is measured (dB). A motorcycle engine running is around 95 dB louder than a whisper (30 dB louder than typical conversation). Long-term exposure to noise levels above 70 dB may cause hearing impairment. Your ears may get immediately harmed by loud noises over 120 dB.
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in a liquid with a density of 1100 kg/m3 , longitudinal waves with a frequency of 430 hz are found to have a wavelength of 7.80 m . calculate the bulk modulus of the liquid.
The bulk modulus of the liquid is 13.31 GPa.
The bulk modulus of a substance is the degree of ways immune to compression the substance is. it's miles defined because of the ratio of the infinitesimal stress boom to the ensuing relative decrease of the volume.
Young's Modulus is the ability of any fabric to withstand the change along its duration. Bulk Modulus is the potential of any fabric to face up to the alternate in its extent. once in a while known as incompressibility, the majority modulus is a degree of the potential of a substance to withstand changes in extent while underneath compression on all aspects. it is the same to the quotient of the implemented strain divided by the relative deformation.
Calculation:-
ρ = 1300 kg/m3 , f = 400 Hz , \small \lambda = 8 m
We know that speed can be given as :
v = \small \lambda*f
i.e. calculating speed as :
v = (8 m)*(400 Hz) = 3200 m/s
The relation between speed, Bulk modulus, and density is :
v = \small \sqrt(K/\small \rho)
Calculating Bulk modulus as :
K = v2*\small \rho
= (3200 m/s)2*(1300 kg/m3)
= 13.31× 109 Pa = 13.31 GPa
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In the acceleration versus time graph above, what is the change in
velocity from 0 to 2s?
Hello!
\(\large\boxed{4 m/s}\)
Find the change in velocity by finding the area under the line in an acceleration v. time graph:
We can divide the area underneath the interval 1 - 2 seconds into a rectangle and a triangle. Use the formulas:
A = l × w
A = 1/2(b · h)
We can solve for the rectangle first:
A = 2 × 1 = 2
Do the remaining area using the formula for a triangle:
A = 1/2 (2 · 2) = 2
Add the areas together:
2 + 2 = 4 m/s.
The Δv (change in velocity) is 4 m/s.
The lowest tone to resonate in an open pipe of length l is 400 hz. What is the frequency of the lowest tone that will resonate in an open pipe of length 2l?
The frequency of the lowest tone that will resonate in an open pipe of length 2l is 200 Hz. The resonant frequencies of an open pipe are determined by the fundamental frequency, which is inversely proportional to the length of the pipe.
When the length is doubled, the fundamental frequency is halved. In this case, the original pipe had a fundamental frequency of 400 Hz, so when the length is doubled to 2l, the new fundamental frequency becomes 200 Hz. This relationship holds true for open pipes because they support standing waves with nodes at both ends, resulting in a wavelength that is twice the length of the pipe.
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Which of the following is not a component of soil? a. Organic material b. Minerals c. Gases d. None of the above Please select the best answer from the choices provided A B C D.
Answer:
It's D: None of the above.
Explanation:
I looked up the components of soil and all of them were, and I also took the test and got it correct.
1. Stosch Company's balance sheet reported assets of $122,000, liabilities of $31,000 and common stock of $28,000 as of December 31, Year 1. Retained Earnings on the December 31, Year 2 balance sheet is $82,000 and Stosch paid a $30,000 dividend during Year 2. What is the amount of net income for Year 2
The amount of net income for Year 2 is $30,000
The amount of net income for Year 2 can be calculated using the formula:
Net Income = (Ending Retained Earnings + Dividends Paid) - Beginning Retained Earnings
Where:
Ending Retained Earnings = Retained Earnings on December 31, Year 2
Dividends Paid = $30,000 (given in the question)
Beginning Retained Earnings = Retained Earnings on December 31, Year 1
Let's substitute the values in the formula and calculate:
Net Income = ($82,000 + $30,000) - $82,000
Net Income = $30,000
Therefore, the amount of net income for Year 2 is $30,000.
- The formula to calculate net income is (Ending Retained Earnings + Dividends Paid) - Beginning Retained Earnings
- Ending Retained Earnings is the Retained Earnings on December 31, Year 2, which is given as $82,000 in the question
- Dividends Paid during Year 2 is given as $30,000 in the question
- Beginning Retained Earnings is the Retained Earnings on December 31, Year 1, which is not given in the question but can be calculated by subtracting the total of liabilities and common stock from the total assets as follows:
Beginning Retained Earnings = Total Assets - Total Liabilities - Common Stock
Beginning Retained Earnings = $122,000 - $31,000 - $28,000
Beginning Retained Earnings = $63,000
- Now that we have all the values, we can substitute them in the formula and calculate the net income for Year 2
- Net Income = ($82,000 + $30,000) - $63,000
- Net Income = $30,000
In conclusion, the amount of net income for Year 2 is $30,000. This was calculated using the formula (Ending Retained Earnings + Dividends Paid) - Beginning Retained Earnings, where Ending Retained Earnings and Dividends Paid were given in the question, and Beginning Retained Earnings was calculated by subtracting the total of liabilities and common stock from the total assets on the balance sheet.
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An unopened bag of chips expanding as one drives up a mountain is a good example of how volume _________. Question 11 options: decreases when pressure decreases increases when pressure increases decreases when pressure increases increases when pressure decreases.
An unopened bag of chips expanding as one drives up a mountain is a good example of how volume increases when pressure decreases.
What happens as An unopened bag of chips expanding as one drives up a mountainWhen driving up a mountain, the atmospheric pressure decreases due to the decrease in air density at higher altitudes. As the external pressure decreases, the air inside the bag of chips exerts a higher pressure relative to the lower external pressure.
This pressure difference causes the bag to expand, increasing its volume. Therefore, the volume increases when the pressure decreases in this scenario.
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electricity costs 10p per kWh. At the start of the last month, Electricity meter reading was 5000 kWh, at the end of the month it was 5200 kWh, calculate the cost of the electricity bill last month.
answer
200
Explanation:
5000-5200=200
Write about 6 sentences about your favorite element and why it's your favorite element
If you do I'll heart your comment, give 5 stars and brainly
Two antennas located at points A and B are broadcasting radio waves of frequency 97. 0 MHz, perfectly in phase with each other. The two antennas are separated by a distance d= 9. 30 m. An observer, P, is located on the x axis, a distance x= 75. 0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and B?
The phase difference between the waves arriving at point P from antennas A and B is approximately 34.5 radians.
Δφ = 2πΔx/λ
We can calculate the wavelength of the radio waves using the formula:
λ = c/f
λ = c/f = \(\frac{3*10^{8} }{97.0*10^{6} } = 3.09m\)
Now we can calculate the phase difference:
Δx = \({(d^2+x^2)^0.5}-x\) =\([(9.30 m)^2 + (75.0 m)^2]^0.5 - 75.0 m\) ≈ 16.9 m
Δφ = 2πΔx/λ = 2π(16.9 m)/(3.09 m) ≈ 34.5 radians
The phase difference is a concept in physics that refers to the difference in the timing or position of two oscillations or waves. When two waves with the same frequency and amplitude are superimposed, they can either add constructively or destructively, depending on their phase relationship. If the waves are in phase, meaning their peaks and troughs line up perfectly, they will add constructively and result in a wave with twice the amplitude.
However, if the waves are out of phase, meaning their peaks and troughs do not align, they will add destructively and result in a wave with zero amplitude. Phase difference is usually expressed in terms of degrees or radians. A phase difference of 180 degrees (or pi radians) means that the waves are completely out of phase, while a phase difference of 0 degrees (or 2*pi radians) means that they are in phase.
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Do you believe the media portrays substance abuse as a positive or negative behavior? Explain.
Be sure to include examples to support your position.
If you add something, you are being positive; if you subtract something, you are being negative.
How are individuals portrayed in the media?Whatever is shown in the media should be properly understood by the audience. The connection between the audience and the message is referred to as "meaning" in communication terminology. This point of view asserts that what ultimately determines how people act are their inner perceptions.
What do media portrayals include?Media representations refer to the ways in which the media presents particular communities, experiences, ideas, or topics from a particular ideological or value perspective.
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is it chronoligical order
descrption
compare contrast
cause and effect or problem and solution
Answer:
??????????????????????
conflict resolution definition
Answer:
Conflict resolution is the process by which two or more parties reach a peaceful resolution to a dispute. In the workplace, there can be a variety of types of conflict: Conflict may occur between co-workers, or between supervisors and subordinates, or between service providers and their clients or customers.
The term conflict resolution implies the process of seeking effective and plausible settlement in conflict situations between aggrieved parties.
What is conflict resolution?The term conflict in itself refers to a disagreement between two or more parties. Conflicts are common in human parlance. An example is the current conflict between Russia and Ukraine in recent times.
The term conflict resolution implies the process of seeking effective and plausible settlement in conflict situations between aggrieved parties.
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Part B
Light can bounce off objects. This is called reflection, and it's what
allows us to see objects. This drawing shows a light ray reflecting from
the red construction paper. Although many light waves are hitting the
paper and reflecting from it, showing just one ray helps us follow the
path of a single wave.
white light ray
from flashlight
red light ray seen
For each color of paper, which part of white light is reflected?
Light will reflect at the same angle off a smooth surface as when it first touches it. The direction of reflected light beams for a flat surface is the same. Specular reflection is what is happening here.
What is it called when light reflects off something to let us see the thing?When light reflects off of a surface, it happens. Light will reflect at the same angle it was incident upon if the surface is glossy and smooth.
Exactly what does light reflect mean?A smooth polished surface is what is referred to as a reflection when a light ray strikes it and bounces back. Surface reflection occurs when a light beam hits it and then leaves it.
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Answer: The part of color that's reflected is the red that bounces off the paper.
Hope this helps you!!!
(☞゚ヮ゚)☞ ☜(゚ヮ゚☜)
Two spaceships, A and B, fly by a space station. An observer on the space station uses a telescope to measure the length of a meterstick in ship A and finds that it is 0.85 m. He does the same for ship B and finds that it is 0.55 m.
What is the ratio of the speeds of the two ships relative to the space station, uB/uA ?
The ratio of the speeds of ship B to ship A relative to the space station is approximately 0.647.
The observer on the space station measures the length of the meterstick in both ship A and ship B using a telescope. The measured length of the meterstick in ship A is 0.85 m, while in ship B, it is 0.55 m.
To find the ratio of the speeds of ship B to ship A relative to the space station, we can use the given measurements:
uB/uA = (length of meterstick in ship B) / (length of meterstick in ship A)
= 0.55 m / 0.85 m
≈ 0.647
Therefore, the ratio of the speeds of ship B to ship A relative to the space station is approximately 0.647.
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2 What is the net force on an object when you combine a force of 17 N north with a force of 9 N north?
Be sure to include the direction of the force.
Answer:
5N NORTH
Explanation:right on edge
What would the shape of the graph be if a speed of 50.0 km/hr is maintained from
10 s to 20 s? I
Answer:
The graph would increase constantly as shown above until it reached 50m/s. At 10s, the graph would be flat at 50m/s until 20s.
Explanation:
what cause the death of stars?
Most stars take millions of years to die. When a star like the Sun has burned all of its hydrogen fuel, it expands to become a red giant then when it fully runs out it then dies
Answer:
. When the core runs out of hydrogen fuel, it will contract under the weight of gravity.
Explanation:
William Herschel thought he had found a comet when he spotted the green disk of: Neptune. Oberon. Uranus. Titania. Triton.
William Herschel thought he had found a comet when he spotted the green disk of Uranus.
Uranus is the seventh planet located far away from the Sun. It is a gaseous planet which was discovered in 1781, mistaken by a comet but after two years it was accepted as a planet. After decades of observations and only one close visit by a spacecraft, which shows us that Uranus has unique atmosphere.
Atmosphere of Uranus is mostly made up of hydrogen and helium as well as a small amount of methane and traces of water and ammonia. The presence of methane gas gives blue colour to Uranus so we can conclude that Uranus is the planet which was thought first a comet by William Herschel.
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An object of mass 25kg is at rest. What is its momentum ?
Answer:
\(\boxed{0}\)
Explanation:
Momentum is the measure of mass in motion.
\(\sf momentum = mass \times velocity\)
An object at rest has a velocity of 0.
\(p=mv\)
\(p = 25 \times 0\)
\(p=0\)
The momentum of an object at rest is always 0.
How is NASA a catalyst to make the crew work better?
Answer:
with teamwork
Explanation:
you need to use team work so the right answer is C
Water runs into a fountain, filling all the pipes, at a steady rate of 7. 50×10−2 m3/s.
Part A
How fast will it shoot out of a hole 4. 55 cm in diameter?
Part B
At what speed will it shoot out if the diameter of the hole is three times as large?
A. The water will shoot out of the hole at a speed of 7.5 x 10⁻² m/s. B. The water will shoot out of the hole at a speed of 8.3895 m/s when the diameter of the hole is three times as large.
Part A: The volume of water entering the fountain per second is 7.5 x 10-2 m3. The diameter of the hole is 4.55 cm. The area of the hole is given by;
A=πr²
Where; r = d/2
Substituting the values of diameter and π into the equation, we get;
A = π x (4.55/2)²
A = π x 2.275²
A = 16.26 cm²
We convert the area to meters² so as to make the units of volume the same.
V= A x V_1
V= 16.26 cm² x (7.5 x 10⁻² m³/s) x (10⁻⁴ m²/cm²)V = 1.2195 x 10⁻⁴ m³/s
To find how fast the water will shoot out of the hole, we use the continuity equation;
A₁V₁ = A₂V₂
Where; A₁ and V₁ are the area and velocity of the water entering the hole respectively. A₂ and V₂ are the area and velocity of the water exiting the hole respectively.
Since water is incompressible, the volume of water entering is the same as that exiting.
A₁V₁ = A₂V₂
V₂ = A₁V₁/A₂
Where; A₁ = πr₁² = π(4.55/2)² = 16.26 cm²
V₁ = 7.5 x 10⁻² m³/s
A₂ = πr₂² = π(4.55/2)² = 16.26 cm² (assuming the hole is circular)
V₂ = (16.26 cm² x 7.5 x 10⁻² m³/s)/(16.26 cm²)
V₂ = 7.5 x 10⁻² m/s
Therefore, the speed is 7.5 x 10⁻² m/s.
Part B: If the diameter of the hole is three times as large, then the radius of the hole will also be three times as large. That is;
r₂ = 3r₁ = 3(4.55/2) cm = 6.825 cm
The area of the hole is given by;
A₂ = πr₂²
A₂ = π(6.825/100)² m²
A₂ = 1.464 x 10⁻⁴ m²
Substituting the values into the continuity equation;
V₂ = A₁V₁/A₂
V₂ = (16.26 cm² x 7.5 x 10⁻² m³/s)/(1.464 x 10⁻⁴ m²)
V₂ = 8.3895 m/s
Therefore, the speed is 8.3895 m/s when the diameter of the hole is three times as large.
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An aeroplane flew at 600mph for 7 hours. How far did it travel?
Answer:
The aeroplane flew 4200 miles for 7 hours.
600 times 7 is 4200.
A student starts at position (4,4) m and undergoes three displacements:
d1 = (2, -3) m, d2 = (-5, 0) m, and d3 = (1, 6) m.
What is the final position of the student? Show your solution graphically and numerically.
please help!!
Answer:
The final position is (2, 7)m
Explanation:
When we work with coordinate pairs, the addition works as:
(a, b) + (c, d) = (a + c, b + d)
So, for example, if we start at (a, b), and we have a displacement d = (1, 1)
we just need to solve:
(a, b) + (1, 1) = (a + 1, b + 1)
Now, in this case, we start at (4, 4)m
first, we have d1 = (2, -3) m
After this displacement, the position is:
(4, 4)m + (2, -3)m = (4 + 2, 4 - 3)m = (6, 1)m
Now we have a displacement d2 = (-5, 0) m
After this, the position is:
(6, 1)m + (-5, 0)m = (6 -5, 1 + 0)m = (1, 1)m
After this, we have the final displacement d3 = (1, 6) m, so the final position will be:
(1, 1)m + (1, 6)m = (1 + 1, 1 + 6)m = (2, 7)m
Below you can see a rough sketch of the path that the student take, where he/she starts at point A.
238 U + 92 write the complete nuclear equation
Answer:The equation is balanced for both charge and nucleon number, as required.
Explanation:2713Al + 42He → 3015P + n