6.102×10¹⁶ Joules of energy of other forms are produced when a mass of 0.678 kg is converted completely into the energy of other forms.
Mass-energy equivalence or E = mc² equation is given by Albert Einstein's theory of special relativity which expresses that mass and energy are the same physical entity and they can be changed into each other. Mass-energy equivalence implies that the total mass of a system may change but the total energy and momentum remain constant.
According to Einstein’s equation,
E=mc²
Where :
E = energy
m = mass = 0.678 kg
c = the speed of light in a vacuum = 3 × 10⁸ m/s
Substuting the m and c values in the formula we get:
E = mc²
E = 0.678 kg × ( 3 × 10⁸ m/s)²
= 6.102×10¹⁶ Joules of energy.
Therefore, the energy produced is 6.102×10¹⁶ Joules of energy.
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Under constant acceleration, the average velocity of a particle is half the sum of its initial and final
velocities. Is this still true if the acceleration is not constant? Explain.
Answer:
It is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle is not constant
Explanation:
The motion of a particle under constant acceleration, 'a', is be given by the following kinematic equations;
v² = u² + 2·a·s
v = u + a·t
Where;
v = The final velocity of the particle
u = The initial velocity of the particle
a = The acceleration of the particle
s = The distance through which the particle travels
t = The time of motion of the particle
By simplifying the above equation, we have;
v² - u² = 2·a·s
(v² - u²)/(2·a) = s
(v - u) × (v + u)/(2 × a) = s
((v - u)/a) × ((v + u)/2) = s
From v = u + a·t, we have;
t = (v - u)/a
∴ ((v - u)/a) × ((v + u)/2) = t × ((v + u)/2) = s
∴ ((v + u)/2) = s/t
The average velocity = (Total distance traveled by the particle) ÷ (The time of travel of the particle)
∴ The average velocity = s/t = ((v + u)/2) = Half the sum of the initial and final velocity
However, it is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle, 'a', is not constant, as the velocity time graph is no longer a straight line graph and the distance traveled by the particle, 's', which is the area under the velocity time graph, 'A', (given by the sum of area of the triangle and the rectangle given by the area under straight line graph for constant velocity) cannot be given directly by the product of the time and the average velocity.
a student constructs an astronomical telescope with a magnification of 10. if the telescope has an objective lens of focal length 0.50 m, what is the resulting length of the telescope
The resulting length of the telescope is 55 cm.
How do you find distance with focal length and magnification?Magnification (power): The degree of an object's enlargement via a telescope. It is determined by dividing the focal length of the eyepiece by the focal length of the telescope. A telescope's greatest practical magnification, as a general rule, is 50 times its aperture in inches (or twice its aperture in millimeters).Finding the distance of the image using the lens equation is simple if you know the distance of the item you are magnifying from the lens and the focal length of the lens. The formula for lenses is 1/f = 1/do + 1/di, where f is the lens's focal length.In the formula f=R2 f = R 2, where f is the focal length and R is the radius of curvature, the focal length is equal to half the radius of curvature.Given data :
The focal length of the telecope =
f eyepiece = f lens / 10
= 0.50m / 10
Covert m to cm = 50 cm
= 50cm / 10 = 5cm
The length of the telescope is equal to the sum of the focal lengths of the objective lens f lens and the focal length of the eyepiece f eyepiece :
L = f eyepiece + f lens
= 5 + 50 cm
= 55 cm
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Dry steam at 100° is bubbled into 500g of water originally at 20° . what will be the temperature of water after 30g of steam has condensed .(Specific latent heat of steam=2.26×10^6Jkg,specific heat capacity of water =4200Jkgk)
The temperature of the water after 30g of steam has condensed will be approximately 52.14°C.
To solve this problem, we need to consider the energy transfer that occurs when steam condenses into water. The energy released by the condensing steam will be absorbed by the water, resulting in a temperature change.First, let's calculate the energy released when 30g of steam condenses. The specific latent heat of steam is given as 2.26 × 10^6 J/kg, so the energy released by 30g of steam can be calculated as:
Energy released = (30g) × (2.26 × 10^6 J/kg) = 6.78 × 10^7 J
Next, we need to calculate the energy required to raise the temperature of the water from 20°C to the final temperature. The specific heat capacity of water is given as 4200 J/kgK, and the mass of the water is 500g. Therefore, the energy required can be calculated as:
Energy required = (500g) × (4200 J/kgK) × (final temperature - 20°C)
Since the energy released by the steam is equal to the energy required by the water, we can set up the equation:
6.78 × 10^7 J = (500g) × (4200 J/kgK) × (final temperature - 20°C)
Now, we can solve for the final temperature:
(final temperature - 20°C) = (6.78 × 10^7 J) / ((500g) × (4200 J/kgK))
(final temperature - 20°C) = 32.14°C
final temperature = 32.14°C + 20°C
final temperature ≈ 52.14°C
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in a nuclear plant, 1 * 10 ^27 J of energy is available from mass conversion How much mass was lost ?
Answer:
\(1.2\times 10^{10}\ kg\)
Explanation:
Given that,
The energy of the nuclear plant, \(E=10^{27}\ J\)
We need to find how much mass wast lost.
The relation between energy and mass is given by :
\(E=mc^2\)
Where
c is speed of light
\(m=\dfrac{E}{c^2}\\\\m=\dfrac{10^{27}}{(3\times 10^8)^2}\\\\m=1.2\times 10^{10}\ kg\)
So, \(1.2\times 10^{10}\ kg\) of mass was lost.
What happens if you disconnect a circuit from its positive terminal BrainPOP question
Answer: The electrons stop flowing, and the current stops. The power source would no longer provide a flow of electrons.
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 8.0 m from the takeoff point.
If the kangaroo leaves the ground at a 22˚ angle, what is its takeoff speed?
What is its horizontal speed?
The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.
What is the sound's velocity?By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.
Briefing:The following equation relates the distance to the direction and initial velocity:
d = [v₀²sin2θ]/g, where θ – the angle of the jump.
Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62
v₀ = 10.65 m/s ( the take off speed).
The horizontal velocity equals:
vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s
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A motorcycle's velocity at the top of the hill is 22 m/s. 4.0 seconds later it reaches the bottom of the hill with a velocity of 30.0 m/s. What is the acceleration of the motorcycle?
Answer:
3/2 m/s^2
Explanation:
a= v-u\t
= 30-22/4
=6/4
=3/2 m\s^2
HOPE THIS WORKS..
Matt has a portable basketball goal in his driveway. He has the basket set 8 ft (2.4 m) high so he can practice dunking the ball. He slams the ball through the hoop and then hangs onto the rim. This exerts a downward force of 600 N on the front of the rim. The front of the rim is 1.1 m in front of the front edge of the portable basketball goal%u2019s base. The mass of the whole portable basketball goal is 70 kg. The center of gravity of the portable basketball goal is 1.0 m behind the front edge of its base.
a. How much torque is produced around the front of the goal base by the 600 N force Matt exerts on the front of the rim?
b. How much torque would be needed to tip the goal?
c. What is the largest vertical force that can be exerted on the front edge of the rim before the portable basketball goal begins to tip?
Answer:
a) τ₁ = 660 N m, b) τ’= 686 N m, c) F = 623.6 N
Explanation:
a) For this exercise let's use the concepts of torque and rotational balance.
For this we set a reference system at the base and assuming that the counterclockwise rotations are positive
where the force F = 600 N, the distance to the axis is x = 1.1 m, the mass of the system m = 70g and the weight is placed at the point of the center of gravity x_{cm} = -1.0 m
The torque at the front is
τ₁ = F x
τ₁ = 600 1.1
τ₁ = 660 N m
b) let's write the rotational equilibrium condition
∑ τ = 0
τ'- W x_{cm} = 0
τ ’= mg x_{cm}
τ’= 70 9.8 1.0
τ’= 686 N m
c) the greatest force Matt can apply
τ’= F x
F = τ’/ x
F = 686 / 1.1
F = 623.6 N
An electric circuit consists of a variable resistor connected to a source of constant potential difference. If the resistance of the resistor is doubled, the current through the resistor is
Answer:
halved.
Explanation:
Given the following data;
Potential difference = constant
Resistance = 2 * resistance = 2R
To find the current I;
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;
\( I = \frac {V}{2R} \)
\( I = \frac {1}{2} * \frac {V}{R} \)
\( I = \frac {1}{2} * I \)
Therefore, if the resistance of the resistor is doubled, the current through the resistor is halved.
5)
Which statement is true about a liquid but not a gas?
A)
It has more internal energy than the solid state.
B)
It will change shape and take the shape of its container.
It allows particle to move past each other relatively easily.
Eliminate
D)
It has close to a constant volume as pressure is applied to it.
Which statement best describes scientific theories? (2 points) Group of answer choices Scientific theories are based on facts that describe natural events. Scientific theories describe natural events but do not explain them. Scientific theories are facts based on observations of events in the natural world. Scientific theories attempt to explain how events occur in the natural world.
Answer:
Scientific theories attempt to explain how events occur in the natural world.
Answer:
The answer is option A. Scientific theories attempt to explain an entire group of related phenomena.
Explanation:
I got it right on the test
Hope it helps!
Based on the information in the table, choose whether the magnetic field is weak or strong
Current Number of Coils Magnetic Field Strength 0. 2 A Many _______________
5. 0 A Many _______________
5. 0 A Few _______________
put weak or strong in the blanks
Answer:
Explanation:
Field characteristics
The strength of the field at the Earth's surface ranges from less than 30 microteslas (0.3 gauss) in an area including most of South America and South Africa to over 60 microteslas (0.6 gauss) around the magnetic poles in northern Canada and south of Australia, and in part of Siberia.
Which statement is true about vectors?
a. All quantities in physics are not vectors.
b. A vector may have either magnitude or direction.
c. The vector’s length should be proportional to its magnitude.
d. Two vectors can be added only if they have the same direction.
Answer:
B
Explanation:
A wave can travel through a solid, liquid or gas or no matter at all
True or false?
What can cause electricity to jump across a gap
Answer:
It often happens in a circuit which was conducting,and a switch is opened. Any inductance in the circuit will help the voltage increase due to back emf,and this can cause breakdown of the air insulation and an arc can form.
Explanation:
The _____________ experiences a temperature increase primarily due to the absorption of gamma rays and X-rays.
Answer:
The thermosphere experiences a temperature increase primarily due to the absorption of gamma-rays and X-rays.
A motorcycle starts from rest and accelerates to a speed of 20 m/s in a time of 8s. What is the motorcycle’s average acceleration?
Answer: Acceleration=Change in speed/time
=(20–8)/10
=1.2m/s²
We can find the distance travelled by using the kinematic equation
S=ut+½at²
S=8*10+½*1.2*100
S=80+0.6*100
S=80+60
S=140m
Explanation: hope this helps and good lucky!!
Which statement about velocity is true?
Answer: velocity is the study of how fast an object changes its place, or is displaced.
Explanation: An example would be how fast a basketball reaches the other side of a gym, the acceleration and speed are measured and calculated to find velocity
A sound wave travels 990-m in exactly 3 seconds. What is the speed of the sound wave in meters per
second
The speed of the sound wave is 330 meters per second. This is calculated by dividing the distance traveled (990 meters) by the time taken (3 seconds).
Speed is defined as the distance traveled per unit of time. In this case, the distance traveled by the sound wave is given as 990 meters, and the time taken is given as 3 seconds. By dividing the distance by the time, we get the speed of the sound wave, which is 330 meters per second. This means that the sound wave covers a distance of 330 meters in one second. The speed of the sound wave is 330 meters per second. This is calculated by dividing the distance traveled (990 meters) by the time taken (3 seconds).
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A 1,075 N sky diver has opened his parachute to slow his descent to a constant
speed the parachute applies 1,469 N of force. What deceleration does he
experiences?
The deceleration experienced by the 1075 N sky diver as he opened his parachute is 13.39 m/s²
How to determine the decelerationForce = mass × acceleration
We know that deceleration is the acceleration of stopping objects. Thus,
Force (F) = mass (m) × deceleration (a)
Thus, we can obtain the deceleration of the sky diver as follow:
Weight of diver (W) = 1075 NForce (F) = 1469 NAcceleration due to gravity (g) = 9.8 m/s²Mass of diver = W / g = 1075 / 9.8 = 109.69 KgDeceleration (a) =?Force = mass (m) × deceleration (a)
1469 = 109.69 × a
Divide both sides by 109.69
a = 1469 / 109.69
a = 13.39 m/s²
Thus, the deceleration is 13.39 m/s²
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Tear–free shampoos are advertised as having a pH similar to that of human tears. What pH would you expect tear–free shampoos to be?
Answer: 7
Explanation:
The pH of water, a neutral substance, is 7. Human tears are a saline composed mostly of water. Therefore, it stands to reason that a tear-free shampoo would have a similar pH close to 7.
Answer:
the pH level would be 7
Explanation:
PLEASE HELP !!!
Which types of decay cannot result in transmutation of the parent nucleus
A) gamma only
B) alpha and beta
C) alpha only
D) alpha and gamma
Gamma decay cannot result in the transmutation of the parent nucleus. Therefore, option (A) is correct.
What is Gamma Decay?Gamma decay can be described as the emission of electromagnetic radiation of a high frequency that is a high energy, giving out excess energy to stabilize the unstable nucleus. Gamma rays can be defined as a stream of high-energy radiation given off by a nucleus undergoing radioactive decay.
Gamma decay can be described as the nucleus dropping from a higher energy level to a lower energy level through the emission of high-energy photons.
Therefore, the gamma-ray emitted is also of very high energy, just like x-rays. Due to their high energy of gamma rays, they are penetrating and thereby dangerous to biological life forms.
In the transmutation of an element, one element is converted into another element. In gamma decay, the transmutation of the parent nucleus does not take place. As the gamma-ray high-energy particles are represented as ⁰γ₀.
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Which of the following do NOT make up our personality? behaviors skills and abilities feelings thoughts
Skills and abilities do not make up our personality.
What is our personality?Personality encompasses an intricate amalgamation of traits that define our individuality, comprising our cognitions, emotions, and actions. It is shaped by a combination of genetic predispositions and environmental factors.
Individuals with diverse personality profiles exhibit distinct patterns of thinking, emoting, and engaging in conduct. By comprehending our individual personality traits, we empower ourselves to make wiser decisions and cultivate lives imbued with greater happiness and well-being.
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A car starts from rest and accelerates at a constant rate of 3.5 m/s2. What is the car’s velocity after the car has traveled 800 m?
Answer:
Attached is the answer
Explanation:
The car’s velocity after the car has traveled 800 m is 74.83 m/sec.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Using equation of motion, initial velocity u = 0 and acceleration a = 3.5 unit and distance travelled is 800 m.
v² = u² + 2as
v² = 0 + 2*3.5*800
v² = 5600
v = 74.83 m/sec
The car’s velocity after the car has traveled 800 m is 74.83 m/sec.
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You are driving a car, travelling at a constant velocity of 25m/s along a
straight road. When you see a child suddenly run onto the road. It takes
0.45s for you to react and apply the brakes. As a result, the car slow down
with a steady acceleration of 8.5m/s 2 . Find the distance?
The distance travelled by the car when the brakes were applied is 12.11 m
Data obtained from the questionThe following data were obtained from the question:
Initial velocity (u) = 25 m/sAcceleration (a) = 8.5 m/s² Time (t) = 0.45 sDistance (s) =?How to determine the distance travelledThe distance travelled can be obtained as follow:
s = ut + ½at²
s = (25 × 0.45) + (½ × 8.5 × 0.45²)
s = 11.25 + (4.25 × 0.2025)
s = 11.25 + 0.860625
s = 12.11 m
Thus, the distance travelled in 0.45 s by the car is 12.11 m
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Could someone please help me..?
Protons:
A. are found in the nucleus and are "locked" in.
B. are found on energy levels and are "locked" in.
C. are found in the nucleus and are able to travel.
D. are found on energy levels and are able to travel.
Answer:
a
Explanation:
are found in the nucleus and are locked in
Answer:
A
Explanation:
Thats what I think the answer is because protons and neutrons bond together in the nucleus.
Describe at least two similarities between untraviolet rays and microwaves
PLEASE HELP MEEEEE 80 points on the line and i need this done
Answer:
5) A 200n
F net=0n
6) B 50n
F net=0n
7) C 200n
F net= 900n, up
8) D 80n
F net=60n,left
9) E 300n
F net=60n,left
10)???
11) G 20n
F net=30n,Right
__________________________________
All the answers is hard
correct me if i'm wrong
When a +0.00235 C charge
moves from point A to point B, its
electric potential energy increases
by 0.418 J. What is the potential
difference between A and B?
Include the correct sign, + or - .
(Unit = V)
Answer:177.87
Explanation:
based on your answer to question 4, do you think that the rate of nuclear fusion in a high-mass star is greater than, less than, or equal to the rate of nuclear fusion in a low-mass star?
According to the question the rate of nuclear fusion in a high-mass star is greater than the rate of nuclear fusion in a low-mass star.
What is nuclear fusion?Nuclear fusion is a process in which two or more atoms combine to form a single, heavier atom. This process releases energy and is the same process that powers stars. It is the opposite of nuclear fission, which splits atoms apart. Nuclear fusion is safer than nuclear fission as it does not produce radioactive waste and the fuel is more abundant. The most common form of nuclear fusion is the combination of two hydrogen atoms to form helium. This process is known as deuterium-tritium fusion and is currently the focus of much research in the pursuit of a viable fusion reactor. To start a fusion reaction, the nuclei must be brought together with enough force and energy to overcome the electrical repulsion between them. This is typically done by heating the fuel to extremely high temperatures, at which point it forms a hot, charged plasma. The nuclei then collide and fuse together, releasing energy. The energy released by nuclear fusion is much greater per unit mass than that released by nuclear fission.
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