a) The momentum after collision of the ball Q is 12.8 m/s
b) The impulse on the ball P is 0.448 Ns.
What is the momentum?We know that the momentum of the object can be obtained as the product of the mass and the velocity of the object. In this case, we can see that we have; Ball P of mass of 0,16kg moving east at a speed of 10m.s collide head on with another ball Q of mass 0,2kg moving west at a speed of 15m.s.
Given that;
Momentum before collision = Momentum after collision
(0.16 * 10) + (0.2 * 15) = (0.16 + 0.2) v
V = velocity after Collison
v = 1.6 + 3/0.36
v = 12.8 m/s
What is the impulse;
Impulse = Mv - Mu
Impulse = 0.16(12.8 - 10)
= 0.448 Ns
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A box of mass m hangs by a string from the ceiling of an elevator that is accelerating upward.1) Which of the following best describes the tension T in the string?T < mgT = mgT > mg2) A block sits at rest on a horizontal frictionless surface. Which of the follwoing sketches most closely resembles the correct free body diagram for all forces acting on the block. Each red arrow represents a force.A,B,C, or D?3) Briefly describe the forces represented by each of the arrows in your choice for the above question.
A is the correct answer. The arrow pointing up in A represents the force of gravity (mg).
What is force?Force is an external influence that can change the motion, direction, shape, and/or energy of a physical object. It can be a push, a pull, or a twist, and it can act on an object at a distance. Force is a vector quantity, meaning that it has both magnitude and direction.
The arrow pointing to the right represents the normal force (N), which is the force that the surface exerts on the block in order to keep it from sinking into the surface due to gravity. The arrow pointing down in A represents the frictional force (f), which is the force that the surface exerts on the block in order to prevent it from sliding along the surface.
1)
T > mg
The force due to tension acts upwards on the box and the force due to gravity acts downwards on the box. As the box is accelerated upwards then the T should be greater than the weight of the box.
ma = T - mg
mg = T- ma
Therefore, T> mg
2)
The option A, best describes the free body diagram.
3) In option A, the normal force is equal to the weight of the block which is kept at rest. N = mg
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The “street” automobile with the greatest acceleration is the Tempest. It has an acceleration of 7 m/s2. Suppose the car accelerates from rest to a final speed of 28 m/s. How long does it take the Tempest to reach this speed?
The time required for the car to accelerate from rest to a speed of 28 m/s is 4 seconds.
What is Acceleration?Acceleration is the rate of change of velocity of an object with respect to the time taken. An object's acceleration is the net result of any and all the forces which are acting upon the object, as described by the Newton's Second Law of Motion. The SI unit for acceleration is meter per second square (m/s²).
Acceleration is the rate of change in the velocity of an object.
a = (v-u)/t
a = 7m/s²
v = 28m/s
u = 0m/s
t = ?
t = (v-u)/ a
t = (28-0)/ 7
t = 28/ 7
t = 4 sec
The time taken to reach the speed of 28 meter per second is 4 seconds.
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what is accretion?group of answer choiceslayering by density with lightest material on top and dense material on bottomthe clumping of small particles into larger masseslarge diffuse cloud pf dust and gas within galaxiesa theory that describes when the universe began
signifies a development or size increase caused by a slow process of external addition and accumulation. The term "accretion" refers to the process in astrophysics and planet physics whereby a celestial object gains mass through the gravitational accumulation of smaller celestial objects and surrounding gas.
What does accretion simple mean?The steady growth in size of an item caused by the accumulation of materials due to gravity is known as accretion. In those other words, as tiny amounts of matter are drawn to an object by gravity and adhere to it, the object will become larger and larger.
Accrual is what kind of force?Gravitational forces acting on material of all sizes and compositions, including gas, dust, plasma, and even dark matter, inevitably lead to accretion. Matter accretes because of gravity. Additionally, as matter gathers, it creates objects.
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drag the labels onto the diagram to identify the components of replicating dna strands. A.Parental DNA
B. DNA polymerase
C. Leading strand
D. Lagging Strand
E. DNA ligase
F. Replication Fork
A DNA fork is a structure that forms during DNA replication. The double helix structure of DNA needs to be unwound in order for replication to occur. The labeled diagram is attached below.
What is a replication fork?This unwinding takes place at a specific point on the DNA molecule called the replication fork. The replication fork is formed by the separation of the two complementary strands of the DNA double helix, and it acts as a template for the synthesis of new DNA strands. The replication fork is maintained by enzymes called helicases, which unwind the DNA, and primases, which add short RNA primers to the template strands. The process of replication continues as the two strands of DNA are separated and new nucleotides are added to each strand by DNA polymerase.
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The complete question is as follows:
what is the difference between assessing the speed of a block sliding down an inclined plane versus a steel spere rolling down an inclined plane?
A tilted surface is referred to as an inclined plane in physics. A known imbalanced force causes objects to accelerate down inclined planes.
If there is no net force acting on an object, it will slide down an inclined plane at a constant speed. Translational kinetic energy, which is equal to half the object's mass times the square of its velocity, is a form of kinetic energy that slides have. Rotational kinetic energy is a special kind of kinetic energy that is present in rotating objects like spinning tops. An object in motion has kinetic energy in both directions, translation and rotation. Since the steel sphere is circular and moves more quickly than a block, it reaches the bottom first.
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Calculate the potential energy of a kg 93 person standing on a bridge 4. 2 meters off the ground ?
The potential energy of the 93 kg person standing 4.2 meters off the ground is 3733.6 Joules.
What do you mean by potential energy?Potential energy is the power that an object can store due to its position in relation to other objects, internal stresses, electric charge, or other circumstances.
To calculate the potential energy of a 93 kg person standing on a bridge 4.2 meters off the ground, we can use the formula for gravitational potential energy:
PE = mgh
Where PE is potential energy, m is the mass of the person, g is the acceleration due to gravity, and h is the height above the ground.
The acceleration due to gravity is approximately 9.8 m/s² on earth surface.
So, the potential energy of the person is:
PE = (93 kg) * (9.8 m/s²) * (4.2 m)
PE = 3733.6 J.
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the distance to the moon is 3.84*10^8m calculate how much time it takes for a beam of light to travel this distance
It takes 1.28s for the light to travel from the moon to earth.
What is light Year?
In a vacuum, light moves at a speed of 186,000 miles or 300,000 kilometres per second. Light can circle the Earth seven times in a single second to give you a quick idea of how fast this is! The speed of light is used by astronomers to calculate how far away in space an object is. Light-years are units used to describe the distance that light can cover in a year (ly).
A light-year is a measurement of length.
It is the distance that a light photon covers in a single Julian year in the vacuum.
by the letter ly
One light year has a fixed value.
The speed of light (c) is constant everywhere, it is
299,792,458m/s=299,792.458km/s
Therefore, it takes 1.28s for the light to travel from the moon to earth.
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A block of mass m is launched by a spring of negligible mass along a horizontal surface of negligible friction. The spring constant of the spring is k. The spring is initially compressed a distance x₀. The block is released from rest. Some time after the block is released and travels in the direction shown in the figure, the spring compression is [tex]x_f[/tex]. Which of the following mathematical calculations can a student use to determine the speed [tex]v_f[/tex] of the block at this new position?
the spring constant of the spring is k. the spring is initially compressed a distance x0. the block is released from rest.
What is distance and velocity?Velocity is the measure of the amount of distance an object covers in a given amount of time. Here's a word equation that expresses the relationship between distance, velocity and time: Velocity equals distance travelled divided by the time it takes to get there.
Is distance equal to speed?Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.
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Anna holds a 11 D magnifier directly in front of her eye to get a close look at a 19-mm -diameter penny. Assume a typical 25 cmnear point and a distance of 1.7 cm between the lens and the retina.
Part A:
What is the closest possible distance that she can hold the coin to have it appear in focus?
Express your answer with the appropriate units.
Part B:
At this distance, how large does the image of the coin appear on her retina?
Express your answer with the appropriate units.
The distances are mentioned below.
What is distance?
Distance refers to the measure of the separation between two points in space. The distance between two points can be determined using mathematical formulas, such as the distance formula in Euclidean space or the great-circle distance formula in a curved space. Distance can also be thought of as a scalar quantity, meaning it has only a magnitude and no direction.
Part A:
To find the closest distance that the coin can be held and still be in focus, we can use the lens equation 1/f = 1/d_o + 1/d_i where f is the focal length of the lens, d_o is the object distance, and d_i is the image distance.
We know that f = 11 D and d_i = 1.7 cm
Therefore,
1/f = 1/d_o + 1/d_i
1/11D = 1/d_o + 1/(1.7cm)
Solving for d_o,
d_o = 1/(1/11D - 1/(1.7cm))
The closest possible distance that Anna can hold the coin to have it appear in focus is d_o. The unit will be in cm.
Part B:
The size of the image that the lens forms on the retina is determined by the lens equation:
1/f = 1/d_o - 1/d_i
where f is the focal length of the lens, d_o is the distance from the lens to the object, and d_i is the distance from the lens to the image.
We know that f = 11 D and d_o = closest possible distance found in Part A.
Therefore,
1/d_i = 1/f - 1/d_o
Solving for d_i, the distance from the lens to the image, will give us the size of the image of the coin on Anna's retina. The unit will be in cm.
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Patients with heart disease and high blood pressure are often placed on a salt-free diet. They are instructed that they may use a salt substitute to season their food. A common salt substitute is potassium chloride (KCI). Its chemical formula is very similar to that of everyday table salt, sodium chloride (NaCI). Based on your knowledge of the periodic table, explain why potassium chloride probably has properties similar to those of sodium chloride. Check all that apply
A) Potassium and sodium both belong to Group 1.
B) They belong to different group
C) They have the same number of electrons on the outer energy level
D) They have a different number of outer energy level electron
E) They form similar compounds with other elements.
PLEASE BE ACCURATE!!!!THANK YOU!!:)
Answer: A, C, E
Explanation:
Potassium and sodium both belong to Group 1. They have the same number of valence electrons. Therefore, they form similar compounds with other elements.
Determine the values of a and k when 0.51 is written in scientific notation.
According to the question ,On writing 0.51 in scientific notation , the value of a is 5.1 and value of k is -1 .
What does a scientific notation in science mean?When a number outside 1 and 10 is scaled by a power of 10, the result is represented in scientific notation.
the benefits of scientific notationSimply put, scientific notation is a means to write numbers. Due to its lower length, increased efficiency, and straightforward magnitude indication, it is particularly helpful when expressing extremely big or extremely small quantities. A decimal portion multiplied by an integer number of ten can be used to represent any real number.
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Even though ome thing may be impoible uch a raining cat and dog, and human turning into a different pecie, realitically, it can happen but at a very extremley low percent?
In the above case, It is not possible for it to rain cats and dogs as it is a figure of speech and not a literal occurrence. Similarly, humans cannot turn into a different species as it goes against the laws of science .
What is the species about?
The statement above is not entirely accurate. Raining cats and dogs is a phrase used to describe heavy rain, it is not a real phenomenon. And humans cannot turn into a different species, it is a biological impossibility.
What does it imply when it says it's raining cats and dogs?
Consequently, a storm with strong winds (cats) and heavy rain may be described as "raining cats and dogs" (cats). Greek word cata doxa, which means "contrary to experience or conviction," may have been the source of the phrase "cats and dogs." It is raining exceptionally or ridiculously hard if it is raining cats and dogs.
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A system consists of two particles moving as shown of masses m1 and m2 and speeds v1 and v2.
What expression gives the total momentum of the system?
Answer:
Explanation: The expression would be
M1V1 = M2V2
Materials: Calculator
1. In the table below, you are given the height from which various objects fell and the time it took for those objects to fall on
Earth, the moon, and Mars. Use the data to calculate the acceleration due to gravitational force at each location.
Distance (m)
Time (s)
Acceleration due to gravity (m/s²)
Average g value for the location (m/s²)
Earth
2.25
0.680
3.08
0.793
Moon
Mars
4.04
4.57
4.68 3.55
2.20 2.26 1.58
1.38
2. What to submit:
a. Your completed table with calculations for acceleration due to gravitational force and the average value.
b. All work shown for your calculations.
Answer:
3.08
Explanation:
A 2.0 kg block on a horizontal surface is being pushed to the right with 20.0 N of force It is moving at a constant velocity How much does the block weigh?
The weight of the block on the horizontal surface will be 20N.
It is given that the force applied on the block is being pushed by applying a force of 20N, also the force is in such a manner that the block is moving with constant speed.
Now, we know, the weight of the body is equal to the product of the acceleration due to gravity and the mass of the body.
Now, we know,
W = Mg
Where,
M is mass and g is gravitational acceleration.
Putting values,
W = 2 x 10
W = 20N.
So, the weight of the block is 20N.
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a space shuttle is in orbit about the earth at an altitude where the acceleration due to gravity is 8.70 m/s2. what is the shuttle's speed at this altitude?
The speed of the space shuttle is in orbit about the earth at an altitude is calculated to be 7.68 × 10³ m/s.
Given that,
Satellite's centripetal acceleration a = 8.7 m/s²
Mass of the Earth M = 5.98 × 10²⁴ kg
Gravitational constant G = 6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻²
R is radius of satellite's orbit
v be satellite's velocity
The satellite's centripetal acceleration a = v²/R must be equated to gravitational acceleration GM/R²
v²/R = GM/R²
v² = GM/R
R = GM/ v²
v² = GM/ (v²/a)
v = (GM a)^ 1/4
Putting in the values, we have,
v = (6.67 × 10⁻¹¹ × 5.98 × 10²⁴ × 8.7)^ 1/4 = 7.68 × 10³ m/s
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a blue-ray drive has a maxximum speed of 10,000 revolutions per minute. if a blu-ray disc has a diameter of 12 cm, what is the linear speed
The linear speed will be 24π
To find the linear speed in (km/hr) Use conversion as follows
1 km = 100000 cm
1 hr = 60 min
radius of a disc(r) = a point from a center of a disc = 5 cm
= 5/100000
=0.00005km
=5 × 10⁻⁵
Angular speed of the drive can be found as
ω= 2πr / T
where v is the angular speed and T is the time for 1 revolution.
T= 1/n ; where n is the revolution per min.
Substitute the given values we have;
ω =4000×2π × 5 × 10⁻⁵
Simplify:
ω= 4 × 10⁻¹ π km\min
1 hour = 60 minutes.
then;
ω = 60 ×4 × 10⁻¹ π
ω = 24 × 10⁻¹
ω = 24π km\min
therefore, the linear speed in km/hr is, 24π
Your uestion is incomplete most probably your full question was
A drive has a maximum speed of 10.000 revolutions per minute. if a disc has a diameter of 14 cm, what is the linear speed, in km/h of a point 5 cm from the center of the disc is spinning at a rate of 4000 revolutions per minute
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Which of the following statements is true about fluorescent lighting
The statement "The excitation of the mercury vapor glows the phosphorus coating inside the lamp of a fluorescent lighting." is true.
In a fluorescent lamp, the electric current excites the mercury inside the lamp which is in vapor form. This process generates the ultraviolet light wave of very short wavelength, which causes the glow of phosphorus coating inside the lamp. Thus a fluorescent lamp converts the very little electrical energy into useful and sufficient light energy.
--The given question is incomplete, the complete question is "Which of the following statement is true about fluorescent lighting? a) Phosphorus coating inside the lamp of a fluorescent lighting glows by the excitation of the mercury vapor. b) The efficiency of fluorescent lighting is much low."
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If the KE and PE is 750,000J and 500,000J respectively, how much energy has been dissipated?
The total energy will be 125,000 J. The total energy is sum of kinetic energy and potential energy.
What is Total energy?We use the (joking) example of trying to roast a turkey using potential energy to help us develop an intuitive understanding of the relative magnitudes of the various kinds of energy.
A 100 m building (about 30 floors) is used, and the turkey is carried to the top before being thrown from the edge. Thus, the potential energy is transformed into kinetic energy, which is then transformed into internal energy upon collision.
A rise in temperature is a representation of an increase in internal energy, and if this experiment is carried out frequently enough, the turkey should be able to cook as a result.
Therefore, The total energy will be 125,000 J. The total energy is sum of kinetic energy and potential energy.
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Part A
What is the mean free time between collisions for electrons in an aluminum wire?
= _____________ s
Wrong answers: 6.97*10^-9 and 1.26*10^-9
Part B
What is the mean free time between collisions for electrons in an iron wire?
=______________ s
Wrong answers: 1.40*10^-9 and 3.67*10^-10
The mean free time between collisions for aluminum wire is
1.62 * 10^-20 s and the mean free time between collisions for Iron is
1.68 * 10^-20 s.
What are electrons?Electrons are subatomic particles that carry a negative electrical charge. They are found outside the nucleus of an atom and are responsible for chemical reactions, electrical conductivity, and magnetism.
The mean free time between collisions for electrons in a metal wire can be calculated using the mean free path (λ) and the electron density (n) of the metal. The mean free time between collisions is given by the equation:
τ = λ / v
Where τ is the mean free time, λ is the mean free path, and v is the velocity of the electrons.
Using the formula, we can calculate mean free path:
λ = 1 / (n * σ)
Where σ is the collision cross-section, which is a measure of how likely it is for an electron to collide with an atom in the metal.
For aluminum, the mean free path is approximately:
λ = 1 / (n * σ) = 1 / (8.49 * 10^28 * 2.82 * 10^-15) = 3.51 * 10^-14 m
For aluminum, the mean free time between collisions is:
τ = λ / v = 3.51 * 10^-14 m / (2.18 * 10^6 m/s) = 1.62 * 10^-20 s
For Iron, the mean free path is approximately:
λ = 1 / (n * σ) = 1 / (8.05 * 10^28 * 2.82 * 10^-15) = 3.65 * 10^-14 m
For Iron, the mean free time between collisions is:
τ = λ / v = 3.65 * 10^-14 m / (2.18 * 10^6 m/s) = 1.68 * 10^-20 s
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the circuit conductors between the final overcurrent device protecting the circuit and the outlet(s) best defines a ? .
The circuit operators between the final overcurrent device guarding the circuit and the outlet(s) neat defines a branch circuit.
What are conductors?In physics and electrical engineering, a conductor is an object or type of material that allows the inflow of charge (electric current) in one or further directions. Materials made of metal are common electrical operators. Electric current is generated by the inflow of negatively charged electrons, positively charged holes, and positive or negative ions in some cases.
A branch circuit is an electrical circuit that starts at a main service panel or load center and extends to one or more electrical outlets, devices, or appliances. The final overcurrent device, such as a circuit breaker or fuse, is used to protect the circuit from excessive current and to disconnect the power in case of an overload or short circuit. The conductors that run between this device and the outlet(s) are referred to as branch circuit conductors.
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What is the impulse of an object of mass 2kg moving with 10m/s for 10 Seconds starting form rest? a) 20kgm/s b) 10kgm/s c) 5kgm/s d) 2kgm/s
Answer:
20
Explanation
f=Kgm/s
2multiply by 10=20
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a 10kg block with an initial velocity of 10m/s slides 10m across a horizontal surface and comes to rest. it takes the block 2 seconds to stop. the stopping force acting on the block is about:
The block is stopped by an opposing stopping force of roughly 50 N over a horizontal surface, and it comes to rest.
What is the scientific definition of force?The concept of "force" has a specific definition in science. This kind of force may be represented as both a push and a pull. It cannot hold an item or a force, nor can it hold a force.
Which forces are there?These sorts of forces are there whenever two things interact and work together. Contact forces can include, but are not limited to, tension, normal, air resistance, applied, and spring forces.
v² - u² = 2as
(0)² - (10)² = 2 × a × 10
-100 = 20a
a = -100/20
a = -5 m/s²
Acceleration (a) = -5m/s²
Now,
Force (F) = Mass(m) × Acceleration (a)
F = m × a
F = 10 × -5
F = -50 N
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Objects with masses of 141 kg and 494 kg are separated by 0.396 m. A 74.8 kg mass is placed midway between them.
1 ) Find the magnitude of the net gravitational force exerted by the two larger masses on the 74.8 kg mass.
The value of the universal gravitational constant is 6.672 × 10−11 N · m^2 /kg^2.
Answer in units of N.
2 ) Leaving the distance between the 141 kg and the 494 kg masses fixed, at what distance from the 494 kg mass (other than infinitely remote ones) does the 74.8 kg mass experience a net force of zero?
Answer in units of m.
( 1) The net gravitational force between the 74.8 kg mass is 8.09 x 10⁻⁵ N.
( 2) The distance from the from the 494 kg mass where the middle mass experiences net zero force is 0.258 m.
What is net gravitational force on the middle mass?
The net gravitational force acting on the middle mass is calculated by applying Newton's law of universal gravitation as shown below.
F = ( GmM ) / ( R² )
where;
G is universal gravitation constantm is the mass of the middle massM is the mass of the first massR is the distance of separation between the two massesThe force between the first mass and the middle mass is calculated as;
F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( 0.198² )
F' = 1.8 x 10⁻⁵ N
The force between the third mass and the middle mass is calculated as;
F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.198² )
F'' = 6.29 x 10⁻⁵ N
The net gravitational force on the middle mass;
F (net) = 6.29 x 10⁻⁵ N + 1.8 x 10⁻⁵ N
F ( net ) = 8.09 x 10⁻⁵ N
Let the distance of zero net force from the 141 kg mass = d.
then the distance from the 494 kg mass = 0.396 m - d
F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( d² )
F' = 0.704 x 10⁻⁶ / d²
F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.396 - d )²
F'' = 2.47 x 10⁻⁶ / ( 0.396 - d )²
for zero net force, the two forces must be equal
0.704 x 10⁻⁶ / d² = 2.47 x 10⁻⁶ / ( 0.396 - d )²
0.704 (0.396 - d )² = 2.47d²
(0.396 - d )² = ( 2.47d² ) / ( 0.704 )
(0.396 - d )² = 3.51d²
0.396 - d = √ ( 3.51d² )
0.396 - d = 1.87d
1.87d + d = 0.396
d (1.87 + 1) = 0.396
d (2.87) = 0.396
d = 0.396 / 2.87
d = 0.138 m
The distance from the 494 kg mass = 0.396 - 0.138 m = 0.258 m
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A person starts driving and travels 3 km east to a store. the person then turns around and travels 1 km west to another store. finally, the person travels 2 km west, back to the starting point.
what is the magnitude of the displacement this person traveled?
Answer:
D(displacement) = 3 km E + 1 km W + 2 km W = 0
Total displacement (vector) = 0
Total displacement (scalar) = 6 km
magnitude implies a total displacement of 6 km
the nuclear mass of 32s is 31.9633 amu. calculate the binding energy per nucleon for 32s.
Now, the binding energy per nucleon, DeltaE / 32 nucleons for S = 4.36 x 10-11 J / 32
Calculating:Now, calculating the theoretical mass of 32S,
32S contains 16 protons and 16 neutrons,
Also, we know,
Mass of proton = 1.00728 amu
Mass of neutron =1.00866 amu
1 amu = 1.66 x 10-27 Kg
Thus,
Mass of protons = 16 x 1.00728 amu = 16.1165 amu
Mass of neutrons = 16 x 1.00866 amu = 16.1386 amu
The theoretical mass of 32S = 16.1165 amu + 16.1386 amu = 32.2550 amu
Now, the mass difference (\Deltam) = Theoretical mass - Actual mass
Deltam = 32.2550 amu - 31.9633 amu
Delta m = 0.2917 amu
Converting amu to Kg,
= 0.2917 amu x (1.66 x 10-27 Kg / 1 amu)
Deltam = 4.8443 x 10-28 Kg
Now, we know the formula,
DeltaE = \Deltam x c2
Here, c = 3.00 x 108 m/s
Substituting the known values,
DeltaE = 4.8443 x 10-28 Kg x (3.00 x 108 m/s)2
DeltaE = 4.36 x 10-11 J
What is the nucleon-specific binding energy?The least amount of energy necessary to separate or break down an atom's nucleus into the subatomic particles that make it up is known as nuclear binding energy (which are protons and neutrons).
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the average power output of the human heart is 1.33 w . how much energy does the heart produce in a day?
The energy produced by the heart in a day when the power output of the heart is given is calculated to be 1.15 × 10⁵ J.
Given that,
Power output of human heart = 1.33 W
Time in one day = 24 hours = 24×60 min = 24×60×60 s = 86400 s
Energy produced by heart in a day = ?
The expression for energy, power and time is given as, E = P t
where, P is power
t is time
E is energy
The energy it produces is equal to the power output times the time the heart does work.
E = P t = 1.33 × 86400 = 1.14912 × 10⁵ J ≈ 1.15 × 10⁵ J
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The potential due to a point charge Q at the origin may be written as V=Q4πϵ0r=Q4πϵ0x2+y2+z2√
Calculate Ex using equation Ex=−∂V∂x.
Express your answer in terms of the given quantities and appropriate constants.
Part B
Calculate Ey using equation Ey=−∂V∂y.
Express your answer in terms of the given quantities and appropriate constants.
Part C
Calculate Ez using equation Ez=−∂V∂z.
Express your answer in terms of the given quantities and appropriate constants.
Part D
Show that the results of parts (a), (b), (c) agrees with the equation for the electric field of a point charge E⃗ =14πϵ0qr2r^.
The value of Ex = - (Q/(4πε0)) *(x/r³), Ey = - (Q/(4πε0)) ×(y/r³), Ez= - (Q/(4πε0)) ×(z/r³) , for the potential due to a point charge Q at origin.
What is potential of a point charge?At infinite distance when an electric charge isn't under the influence of the point charge, the potential is defined as zero. Electric potential at a given position is the quantum of work that has to be done to bring the charge at a finite distance from the point charge.So, the electrostatic potential from a point), at a distance r is given by,
U = 1/4πε0Qr
Both theunit charge and the point charge are positive. So, the work has to be done against the electrostatic force. Therefore, the potential is positive. However, still, if the point charge had negative value, then in that case potential would have been negative.
A) To calculate Ex, we take the partial derivative of V with respect to x: Ex = - ∂V/∂x = - (Q/(4πε0)) × (x/r³)
B) To calculate Ey, we take the partial derivative of V with respect to y: Ey = - ∂V/∂y = - (Q/(4πε0)) × (y/r³)
C) To calculate Ez, we take the partial derivative of V with respect to z: Ez = - ∂V/∂z = - (Q/(4πε0)) × (z/r³)
D) To show that the results of parts (a), (b), (c) agrees with the equation for the electric field of a point charge, we can use the equation for the electric field of a point charge E→ = (Q/(4πε0r²)r^. We can see that, Ex = -(Q/(4πε0))×(x/r²) , Ey = -(Q/(4πε0))×(y/r²), Ez = -(Q/(4πε0))×(z/r²) which is equivalent to the formula for the electric field of a point charge E → = (Q/(4πε0r²)) ^r. So, the results of parts (a), (b), (c) agrees with the equation for the electric field of a point charge.
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A boat owner pulls her boat into the dock shown, where there are six bollards to which to tie the boat. She has three ropes. She can tie the boat from the boat's center (A) to any of the bollards (B through G) along the dotted arrows shown.
Suppose the owner has tied three ropes: one rope runs to A from B, another to A from D, and a final rope from A to F. The ropes are tied such that FAB=FAD
What is the magnitude of the force provided by the third rope, in terms of θ?
Force along the third rope is 2F rmABcostheta in magnitude. Newton's second rule of motion is a necessary topic to understand in order to answer this question.
What in physics is a magnitude?In terms of physics, magnitude is just "distance or quantity." In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. In physics, the term "magnitude" often refers to a size or amount.
What are size and orientation?How much and which way are answered by the magnitude and direction respectively. As an illustration, the magnitude 5 meters and the direction North. A vector quantity with both magnitude and direction is 5 meters north.
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a 225 n child sits 0.60 meters form the axis of rotation of a seesaw. another child weighing 300 n wants to sit on the opposite side of the seesaw to balance it. how far from the axis of rotation should the 300 n child sit? group of answer choices 0.50 m 0.30 m 0.45 m 0.40 m
She discovers she is going to be in balance when the middle of the board reaches 0.50 m to a outside of a fulcrum and she is m towards the left of something like the fulcrum.
What is an example of a fulcrum?The answer to the questions and What does fulcrum is straightforward: A lever's fulcrum is its fixed point. A seesaw, for instance, is a lever with a pivot in the centre. The fulcrum of a swing set is the stationary central component.
What does an engineering fulcrum mean?A lever's pivot point is known as the fulcrum. The lever is supported by the fulcrum. A feedback loop is an illustration of a lever The fulcrum of a seesaw is the bar it sits on. The pivot of the beam is thought to be the fulcrum. When effort is exerted to one side of the lever, a load is added to the other end.
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