Answer: 50°
Explanation:
Given the following :
Initial Velocity of bullet (U) = 87m/s
Time of travel (t) = 13.6s
Horizontal Distance traveled (S) = 760m
Therefore, the horizontal angle of projection of the bullet :
Using the second equation of motion:
S = ut + 0.5at^2
Where a = g = acceleration due to gravity, S = distance traveled, t= time taken and U = Initial Velocity.
The Angle of projection along the horizontal is represented as cosΘ
Acceleration due to gravity after the bullet has hit the ground = 0
Therefore, rewritten the equation :
S = ucosΘ * t + 0.5at^2
760 = 87 * Cosθ * 13.6 + 0.5(0)(13.6)^2
760 = 1183.2 * Cosθ + 0
Cosθ = 760 / 1183.2
Cosθ = 0.6423
Θ = cos^-1(0.6423)
Θ = 50.036460
Θ = 50°
The drop in potential across a resistor in a circuit is 40 V. What is the current
flowing through the resistor if the resistance is 2.0 0? (use Ohmis law. V = IR
Answer:
Current, I = 20 Amperes.
Explanation:
Given the following data;
Voltage = 40 V
Resistance = 2 Ohms
To find current flowing through the resistor;
Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.
Mathematically, Ohm's law is given by the formula;
\( V = IR\)
Where;
V represents voltage measured in voltage.
I represents current measured in amperes.
R represents resistance measured in ohms.
Making current (I) the subject of formula, we have;
\( I = \frac {V}{R} \)
Substituting into the formula, we have;
\( I = \frac {40}{2} \)
Current, I = 20 Amperes.
You see a flash of lightning and hear thunder 3 seconds later. If the air temperature is 24°C that day, determine how far away the storm is.
Answer:
Explanation:
speed of sound in 24 degrees celsius
345.48m/s
hence 345.48m/s x 3s = 1036.44m
An uncharged object becomes charged without direct contact.
What method of charging is occurring?
Answer:
chargeing by induction
Explanation:
this is the answer have a great day
Temperature is a measure of the average
________________
energy of particles in a substance.
kinetic
Temperature and kinetic energy have a
__________
relationship.
direct
Kelvin, Celsius, and Fahrenheit are three types of
______________
scales.
temperature
What are the units for measuring specific heat?
joules per gram degree Celsius
Which best compares kinetic energy and temperature?
Kinetic energy is energy of motion, while temperature is a measure of that energy in substances.
Temperature is a measure of the average kinetic energy energy of particles in a substance.
Temperature and kinetic energy have a directly proportional relationship.
Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.
The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.
The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.
The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.
Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.
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Temperature is a measure of the average kinetic energy energy of particles in a substance.
Temperature and kinetic energy have a directly proportional relationship.
Kelvin, Celsius, and Fahrenheit are three types of Temperature scales.
The average kinetic energy of the particles in a substance is measured by temperature. The overall kinetic energy of the particles in a substance is measured by its thermal energy. The temperature and thermal energy of a substance increase with particle mobility.
The average kinetic energy of a substance's particles is directly proportional to the substance's temperature.
The three temperature scales that are now in use are Kelvin, Celsius, and Fahrenheit.
Typically, calories or joules per gramme per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion.
Temperature is a measurement of that energy in substances, whereas kinetic energy is the energy of motion. According to Zoe, a material has a temperature of 12 degrees Celsius. What does this indicate to Zoe regarding the substance? It has an average kinetic energy of 12 Celsius.
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can someone help me :(
Answer:
Where is the question?
Explanation:
Applying a constant net force to an object causes it to accelerate at 0=5.0 m/s2.a0=5.0 m/s2. what will the acceleration 1a1 of the object be if the force is halved?
If the net force acting on the object is halved, the acceleration of the object will be 2.5 m/s².
The question asks about the acceleration of an object when the net force acting on it is halved. We are given that applying a constant net force causes the object to accelerate at 5.0 m/s^2. We need to find the new acceleration when the force is halved.
To solve this, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Let's assume the initial net force acting on the object is F, and its initial acceleration is a. We are given that a = 5.0 m/s².
According to Newton's second law, F = m * a, where m is the mass of the object.
If we halve the force, the new force acting on the object would be F/2. Let's call the new acceleration a1.
So, (F/2) = m * a1.
Since the mass of the object remains the same, we can simplify the equation to:
F/2 = m * a1.
Now, we can solve for a1:
a1 = (F/2) / m.
Substituting the given value of a and rearranging the equation, we get:
a1 = (5.0 m/s²) / 2.
Simplifying, we find:
a1 = 2.5 m/s².
Therefore, the acceleration of the object will be 2.5 m/s² when the force acting on it is halved.
In summary, if the net force acting on the object is halved, the acceleration of the object will be 2.5 m/s².
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the full range of electromagnetic energy is called the
Answer: the electromagnetic spectrum
Explanation:
The full range of frequencies of electromagnetic radiation is called the electromagnetic spectrum. From longest to shortest wavelengths, it includes radio waves, microwaves, infrared light, visible light, ultraviolet light, X rays, and gamma rays.
Hope I have helped, and have a good day!!!
Calculate the MOMENTUM of a football weighing 0.34kg being thrown at a speed of 64.6m/s.
Answer:
The value of the momentum is 5.8 kg meters per second.
Explanation:
Hope this helps :)
Q2) The
is the mass of object, the greatest is its weight?
Smaller
Greater
Faster
Answer:
greater.
Explanation:
Please mark as brainliest
which of the following helps in designing an attractive 3-D craft?
A. texture and colour
B. balance and emphasis
C. Shapes and space
D. Size and form
Answer:
it A texture and colour I
Explanation:
I just did this
Answer:
Shapes and space
Explanation:
3D crafts use shapes and space.
The purpose of space: Distance, area, volume; physical space independent of what occupies it; absolute space.
The purpose of shapes: Positive and negative
Positive shape is the totality of the mass lying between its contours; in three-dimensional work, the visible shape or outer limit of a form changes as the viewer's position is changed. These outer limits are seen as shapes moving back and forth between major contours.
Negative space is empty space defined by a positive shape. Sometimes referred to as occupied and unoccupied space.
according to the ideal gas law pressure, p (in pascals) , volume, v (in cubic meters), and temperature, t (in kelvins) are related by the equation p v
According to the ideal gas law, pressure (p), volume (v), and temperature (t) are related by the equation,
p*v = n*R*t
where,
n represents the number of moles of the gas,
and R is the ideal gas constant.
To solve for any of the variables, you need to rearrange the equation. In this case, you want to solve for the pressure (p). The equation can be rearranged as p = (n R t) / v.
To calculate the pressure, you need to know the number of moles of the gas (n), the ideal gas constant (R), the temperature (t), and the volume (v). Once you have those values, you can substitute them into the equation and calculate the pressure.
The units need to be consistent.
The ideal gas constant (R) has a value of 8.314 J/(mol·K). The volume should be in cubic meters (m³), the temperature in kelvins (K), and the pressure will be in pascals (Pa).
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Sally's mass on Earth is 50 kg. What is her weight on Earth?
Answer490N:
Explanation:
Which of the following properties of a material will affect the speed of sound through that material? (i) The shape of a material (or the shape of the container if it the material is a fluid) (ii) The rigidity or compressibility of the material (iii) The density of the material Select the correct answer Only (i) Only statements (i) and (ii) are true. All three: (i), (ii), and (iii) Only (ii) Only (i) and (iii) Only (ii) and (iii)
The speed of sound through a material is primarily affected by the rigidity or compressibility of the material and the density of the material. The correct answer is Only (ii) and (iii).
(i) The shape of a material or the shape of the container (if it is a fluid) does not directly affect the speed of sound through the material. The shape may influence other properties, such as resonance or reflection of sound waves, but it does not impact the speed of sound.
(ii) The rigidity or compressibility of the material is crucial in determining how fast sound waves can propagate through it. Materials with higher rigidity or lower compressibility allow sound waves to travel at higher speeds.
(iii) The density of the material also affects the speed of sound. In general, sound travels faster in materials with higher density.
Therefore, the correct answer is Only (ii) and (iii).
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Sylvanite+is+a+mineral+that+contains+28.0%+gold+by+mass.+how+much+sylvanite+would+you+need+to+dig+up+to+obtain+74.0+g+of+gold?
The mass of Sylvanite that you would need to dig up approximately 264.29 grams of sylvanite to obtain 74.0 grams of gold.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
To determine the amount of sylvanite needed to obtain 74.0 g of gold, we can use the fact that sylvanite contains 28.0% gold by mass.
Let's assume the mass of sylvanite required is represented by "m" (in grams).
The mass of gold in the sylvanite can be calculated as:
Gold mass = 28.0% of m = (28.0/100) * m = 0.28m
According to the problem, the gold mass required is 74.0 g. We can set up the following equation:
0.28m = 74.0
To solve for "m", we divide both sides of the equation by 0.28:
m = 74.0 / 0.28 ≈ 264.29
Therefore, to get 74.0 grammes of gold, you would have to dig out about 264.29 grammes of sylvanite.
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An object with mass m is dropped from rest and we assume that the air resistance is proportional to the speed of the object. if s(t) is the distance dropped after t seconds, then the speed is v = s'(t) and the acceleration is a = v'(t). i g is the acceleration due to gravity, then the downward force on the object is mg-cv, where c is positive constant, and newton's second law gives m = dv/dt = mg-cv (a) solve this as a linear equation to show that v=mg/c*(1-e^-ct/m) (b) what is the limiting velocity? (c) find the distance the object has fallen after t seconds.
The speed and time have a linear relationship. It is independent of mass. The upper limit is a)Mg/c and b)gt.
What exactly does acceleration mean?
A moving material experiences acceleration when its speed and trajectory vary over time. When anything moves quicker or longer, it is said to have been accelerated. Rotation on a circle accelerated despite the same speed since this heading is always changing.
What causes a speedup?
An object's motion is influenced by a net force; the larger the net force, the greater the acceleration. Greater net pressures are needed for more massive things to accelerate at the same rate as less massive things.
Briefing:
a) lim t-->∞ v = mg/c
mg/c is the limit
2)It is the rate at which the item gets closer as time passes.
b) lim c-->0^(+) v = gt.
gt is the limit
3)The speed and time have a linear relationship. It is independent of mass. Since mass has no bearing on acceleration, an item will fall faster the longer it is in free fall.
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on a far away planet, a 500 hz tuning fork is held over the open top of a glass pipe held vertically. the pipe is filled to the top with water then slowly drained until the air column inside it is in resonance with the vibrations of the tuning fork. when this first occurs the air column is 150 mm long. what is the speed of sound in the (closed) pipe?
The speed of sound in the pipe is 150m/s and that found to be enhanced when air column is 150 mm long.
What does "tuning fork" mean?
a two-pronged metal tool used for tuning musical instruments and determining standard pitch that produces a set tone when struck.
ΔL = 150mm => 0.15m = λ/2
=> λ = 2 x 0.15 => 0.3 m
The velocity of sound => frequency x wavelength
500hz x 0.3 m => 150m/s
Which tuning fork's frequency is higher?The length of a tuning fork's prongs determines the pitch it produces. Each fork has a stamp that says the note it makes (for example, A) and the frequency in Hertz (e.g. 440 Hz). Higher pitch (frequency) noises are produced by shorter prongs than by longer prongs.
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What does the following figure illustrate?
A. Diffraction
B. Refraction
C. Resonance
D. Interference
Answer:
the answer would be c sry if it is wrong
Your bone structure, metabolism and body fat distribution all contribute to your ______ A.Body type B. Height C. Energy levels D. Exercise habits
Answer:
Maybe [A]
Explanation:
The question is in the picture please answer problem 8Thank you
According to the second law of Newton, the acceleration is directly proportional to the net force acting on the object:
\(F=m\cdot a\)From this formula, we can also see that the acceleration is inversely proportional to the mass: For the same force, if the mass increases, the acceleration decreases.
Therefore the correct option is d.
Shyam saw a cylindrical copper rod in his store room he realise that it can be used for various purposes it can be used as a flower ways by covering it one side face with any metal it can be used as a conductor or it can be used as a cylindrical box by covering both the side face with metal he measure the radius of the rod with 3% and length of rod with 7% error error percentage is measuring the volume of the cylinderical box is
The error percentage in measuring the volume of the cylindrical box is 6.3 x 10⁻³ %
Error percentage in measuring the volume of the cylinder
The total error percentage in measuring the volume of the cylinder is calculated as follows;
Volume of cylinder = πr²h
Volume of cylinder = π(0.03r)²(0.07h)
Volume of cylinder = (6.3 x 10⁻⁵)πr²h
Error in measuring the volume = 6.3 x 10⁻⁵ x 100% = 6.3 x 10⁻³ %
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11. What a layer of sedimentary rock or soil called
Answer:
Sedimentary rocks are deposited in layers as strata, forming a structure called bedding. Sedimentary rocks are often deposited in large structures called sedimentary basins.
Explanation:
Answer: Strata
Explanation: Strata are layers of rock, or sometimes soil. In nature, strata come in many layers. It is a term in sedimentary and historical geology; the singular is stratum. The study of strata is called stratigraphy.
The electric current through a wire varies with time as shown
The total charge flown across any cross section of the wire in time interval 0-T is
The total charge flown across any cross section of the wire in time interval 0-T is determined from the area under the curve as ¹/₂i₀T.
option (2) is the correct answer.
What is the total current flowing in the wire?The total charge flown across any cross section of the wire in time interval 0-T is calculated as follows;
The total charge flowing = area under the curve
area under the curve = ¹/₂ x base of the triangle x height of the triangle
area under the curve = ¹/₂ x T x i₀
area under the curve = ¹/₂i₀T
Thus, the total charge flown across any cross section of the wire in time interval 0-T is determined from the area under the curve as ¹/₂i₀T.
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Calculate the kinetic energy of a moving 4 kg object traveling at a velocity of 3 m/a
Answer:
Explanation:KE = 18 J
is the following statement about our solar system true or false? jupiter's volume is more than ten times as large as saturn's volume.
Jupiter's volume is more than ten times as large as Saturn's volume. This statement is true. Jupiter is the largest planet in our solar system with a volume of about 1,431,281,810,739 km³ while Saturn is the second-largest planet with a volume of about 827,129,915,150 km³.
Jupiter is approximately 11 times larger than Saturn. The two planets belong to the gas giant category, and they share many similarities such as having a large number of moons. Jupiter is famous for its Great Red Spot and powerful magnetic field, while Saturn is well-known for its stunning ring system. Both planets have been the focus of scientific research and exploration, and they continue to fascinate scientists and stargazers alike. In conclusion, Jupiter's volume is more than ten times as large as Saturn's volume.
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1. A capacitor is made of 2 rectangular metal plates with side length of 3cmx6cm separated by a distance of 2. 36cm with water in between the plates. The capacitor has a voltage of 110v and is not connected to a battery. Calculate the capacitance. What is the new capacitance if we replace water with a new dielectric material with a constant of 3. 75 in between the plates? What is the new voltage? What is the charge on each plate?
2. A capacitor of 3. 23µF has an area of 6. 35mm^2. Determine the separation distance between the two plates. If the new capacitance is now 5. 63mF, what is the value of the dielectric inserted to the capacitor? What is the new voltage if the capacitor is connected to a 110 volts source? If the electric field created by two plates 8. 99x10^4 N/C and a working voltage of 63 volts. Will the capacitor experience a dielectric breakdown? Prove your answer.
USE GRESA
the electric field is more than the threshold value and the capacitor will experience dielectric breakdown.
1. Given values are,
side length of metal plates, a = 3 cm and b = 6 cm
distance between the plates, d = 2.36 cm
voltage, V = 110 V
dielectric constant of water, k = 80.4
dielectric constant of new material, k2 = 3.75
a) To calculate the capacitance of capacitor, the formula is, C=εA/d ……………… (1)
where A = area of plate, ε = permittivity, and d = separation distance between two plates.
We know that the permittivity of vacuum is given as, ε0 = 8.854 x 10^-12 F/m
The capacitance of capacitor can be expressed as,
C1 = ε0 (kA/d) …………….. (2)
where, ε0 = permittivity of vacuum, k = dielectric constant and A = area of plate.
Substituting the given values in equation (2),
C1 = 8.854 x 10^-12 x 80.4 x (0.03 x 0.06)/0.0236
C1 = 0.000132 F
Therefore, the capacitance of capacitor is 0.000132 F.
b) To calculate the new capacitance, the formula is given as,
C2 = k2ε0A/d ……………… (3)
where k2 is the dielectric constant of new material.
Substituting the given values in equation (3),
C2 = 3.75 x 8.854 x 10^-12 x (0.03 x 0.06)/0.0236
C2 = 0.000263 F
Therefore, the new capacitance is 0.000263 F.
c) The new voltage can be calculated as,
V2 = V1(C1/C2) …………… (4)
Substituting the given values in equation (4),
V2 = 110 (0.000132/0.000263)
V2 = 55 V
Therefore, the new voltage is 55 V.
d) The charge on each plate is given as,
Q = CV ………….. (5)
Substituting the given values in equation (5),
Q = 0.000132 x 110
Q = 0.0145 C
Therefore, the charge on each plate is 0.0145 C.
2. Given values are,
capacitance, C = 3.23 µF
area of plate, A = 6.35 mm^2
separation distance between two plates, d = ?
new capacitance, C2 = 5.63 mF
new dielectric constant, k2 = ?
voltage, V = 110 V
electric field between two plates, E = 8.99 x 10^4 N/C
working voltage, Vw = 63 V
a) The separation distance between two plates can be calculated as,
C1/C2 = d2/d1 …………….. (6)
where d1 and d2 are the initial and final separation distance, respectively.
Substituting the given values in equation (6),
3.23 x 10^-6/5.63 x 10^-3 = d2/d1
d2 = 5.63 x 10^-3 x (d1/3.23 x 10^-6)
Area of plate, A = 6.35 mm^2 = 6.35 x 10^-6 m^2
The capacitance can be expressed as,
C = εA/d
d = εA/C
where ε = permittivity of dielectric material.
Therefore, substituting the given values in above equation,
d1 = ε x 6.35 x 10^-6/3.23 x 10^-6
d1 = 12.50 ε
Substituting the value of d1 in equation (6),
5.63 x 10^-3 = d2/12.50 ε
d2 = 70.38 ε
The separation distance between two plates is 70.38 ε.
b) The new dielectric constant can be calculated as,
C2 = k2ε0A/d2
k2 = C2d2/ε0A
Substituting the given values in above equation,
k2 = 5.63 x 10^-3 x 70.38 ε/(8.854 x 10^-12 x 6.35 x 10^-6)
k2 = 3.95
Therefore, the new dielectric constant is 3.95.
c) The new voltage can be calculated as,
V2 = V1(C1/C2)
Substituting the given values in above equation,
V2 = 110(3.23 x 10^-6/5.63 x 10^-3)
V2 = 0.063 V
Therefore, the new voltage is 0.063 V.
d) The electric field can be expressed as,
E = V/d
d = V/E
Substituting the given values in above equation,
d = 63/8.99 x 10^4
d = 7.01 x 10^-4 m
The voltage, V = 110 V > working voltage, Vw = 63 V
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A solenoid is made of N = 6500 turns, has length L = 25 cm, and radius R = 1.1 cm. The magnetic field at the center of the solenoid is measured to be B = 1.9 x 10^-1 T.I = B L/( μ0 N )Find the numerical value of the current in milliamps.
The numerical value of the current in the solenoid is approximately 2.88 mA. To find the current in the solenoid, we will use the formula you provided: I = B * L / (μ₀ * N). Here, B is the magnetic field, L is the length of the solenoid, N is the number of turns, and μ₀ is the permeability of free space, which is approximately 4π x 10⁻⁷ T·m/A.
Given the values:
B = 1.9 x 10⁻¹ T
L = 0.25 m (converted from 25 cm)
N = 6500 turns
μ₀ = 4π x 10⁻⁷ T·m/A
Plugging these values into the formula:
I = (1.9 x 10⁻¹ T) * (0.25 m) / ((4π x 10⁻⁷ T·m/A) * 6500)
After solving for I, we get:
I ≈ 0.00288 A
To convert the current to milliamps, multiply by 1000:
I ≈ 2.88 mA
Therefore, the numerical value of the current in the solenoid is approximately 2.88 mA.
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the force between the earth and the body which is at a distance r from the center of the earth is F. What must be this distance for the force to be doubled.
Answer:
Explanation:
The gravitational force between the earth and another body is F = -GM_em/r^2 r where G = 6.67 times 10^-11 Nm^2/kg^2 is the gravitational constant, M_e = 5.97 times 10^24 kg is the mass of the earth, m is the mass of the other body, and r is the position vector of the second body with respect to the centre of the earth.
9
1 point
A girl throws a football with an average velocity of 18.5 m/s a distance of 52.1 m. How long does it take the ball to cross that distance?
Time = distance / velocity
52.1 meters / 18.5 m/s = 2.82 secondsT
Mechanical and chemical weathering depend on _______________________________________ and temperature.
A.) acid
B.)air
C.)water
Answer:
C.)water
Explanation:
Weathering is the physical disintegration and chemical decomposition of rocks to form sediments and soils.
Mechanical weathering is the breaking down of rocks by physical means.
Chemical weathering is the decay of rocks by chemical means.
Both chemical and mechanical requires water for the processes to occur. Water is usually the medium for chemical actions to take place in a rock. For mechanical processes, water in different phases plays a very important role too.Question 7 (2 points)
Which statement accurately describes the charge of the nucleus of an atom? (2 points)
O a The nucleus can be either positively charged or neutral.
Ob
The nucleus never has an electrical charge.
O c
The nucleus always has a positive charge.
Od
The charge of a nucleus can change from positive to negative.
The nucleus of an atom will have a positive charge due to the existence of protons, which are positively charged subatomic particles.
Protons and neutrons are present in an atom's nucleus. We are aware that a proton has a charge of + 1 and a neutron has a charge of 0 (or no charge). As a result, the atom's nucleus will always be positively charged. A nucleus is a name for the dense area in the middle of an atom. Because there are positively charged subatomic particles present, the nucleus usually has a positive charge. The subatomic particles, which are present in atoms but far smaller than atoms, are there. Protons, neutrons, and electrons are the three primary subatomic particles found in matter. An atom's nucleus contains protons and neutrons, while its outermost nucleus contains electrons. Neutrons are subatomic particles with a charge of zero, whereas protons are positively charged.
Therefore, the nucleus of an atom will always have a positive charge. Consequently, an atom's nucleus has a positive charge because of the presence of protons.
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