Answer:
The binding energy is -882.5 MeV.
Explanation:
The nuclear binding energy of Boron-9 can be found as follows:
[tex] B = [Zm_{p} + Nm_{n} - M]c^{2} [/tex]
Where:
Z: is the number of protons = atomic number = 5
N: is the number of neutrons = A - Z = 9 - 5 = 4
[tex]m_{p}[/tex]: is the mass of the proton = 1.0078251 u
[tex]m_{n}[/tex]: is the mass of the neutron = 1.0086649 u
M: is the atomic mass of B-9 = 9.0133288 u
c² = 931.5 MeV/u
Hence, the nuclear binding energy is:
[tex] B = [Zm_{p} + Nm_{n} - M]c^{2} = [4*1.0078251 u + 4*1.0086649 u - 9.0133288 u]*931.5 MeV/u = -882.5 MeV [/tex]
Therefore, the binding energy is -882.5 MeV.
I hope it helps you!
Một dây dẫn mảnh được uốn thành một
cung tròn bán kính 10cm, góc ở tâm
bằng 1200
, đặt trong không khí. Trong
dây dẫn có dòng điện cường độ 30A
chạy qua. Độ lớn của cảm ứng từ tại
tâm của cung tròn là bao nhiêu ?
Which of the following statements best describes energy conservation in heat engines?
A. The heat engine's energy is exhausted to the outside system.
B. The sum of the heat placed into the hot reservoir and the work collected equals the energy transferred from the cold reservoir.
C. A volume of heat is discharged to the cold body where some waste energy is in a form of heat in this engine.
D. The work derived from the heat engine is equal to the energy placed into the hot reservoir.
1. What is the difference between longitudinal and transverse waves? Compare and contrast the direction of their movement, movement of a molecule through the completion of a cycle, and amplitude and wavelength measurements of each type of wave.
2. Suppose that a wave has a period of 0.03 second. What’s its frequency? Be sure to show the steps for your work.
3. Compare a wave that has a period of 0.03 second with a second wave that has a period of 1/4 second. Which wave has the greater frequency? Be sure to show the steps for your work.
4. If a wave has wavelength of 4.5 meters and a period of 0.07 second, what’s the velocity of the wave? Be sure to show the steps of your work.
5. Using the image below, identify the numbered parts of the wave.
Answer:
Explanation:
1. The waves in which the partciles of medium vibrates in the same direction of propagation of wave, are called longitudinal waves.
The waves in which the partciles of medium vibrates in the perpendicular direction of propagation of wave, are called transverse waves.
2. Period, T = 0.03 s
The frequency is given by the reciprocal of the period.
[tex]f=\frac{1}{T}\\\\f =\frac{1}{0.03}\\\\f = 33.3 Hz[/tex]
1. Transverse waves carry molecules at right angles to the direction in which the wave travels. Within a cycle, molecules move from their normal position to the highest position, back through the normal position to the lowest point, and then back to the normal position. The molecules retain their horizontal positions while vibrating vertically. Amplitude is measured at right angles to the direction of the travel of the wave. Wavelength can be represented as the distance between any two molecules in phase with each other, such as the two nearest molecules at the crests of the wave.
Longitudinal waves carry molecules parallel to the direction in which the wave travels. Within a cycle, a molecule travels in the same direction as the wave (from normal position to its most distant point on one side of its normal position), changes direction, moves back through its normal position to the opposite side of its normal position at a point that corresponds, and then returns to its normal position. The molecules don’t all move at the same time; some remain stationary as others go through a vibrating motion. Compressions and rarefactions occur here. Amplitude is measured parallel to the direction of the wave. Wavelength may be represented as the distance between the two nearest molecules that didn’t vibrate, the two nearest molecules at maximum compression, or the two nearest molecules at maximum rarefaction.
2. f = 1⁄T
f = 1⁄0.03
f = 33. 3 Hz
3. The first wave has a frequency of 33.3 Hz:
f1 = 1⁄T1
f1 = 1⁄0.03
f1 = 33. 3 Hz
The second wave has a frequency of 4 Hz. f2 = 1⁄T2
f2 = 1⁄1⁄4
f2 = 1 ÷ 1⁄4
f2 = 1 × 4⁄1
f2 = 1⁄1 × 4⁄1
f2 = 4 Hz
Therefore, the first wave has a higher frequency.
4. v = I⁄T
v= 4.5⁄0.007
v = 642.9 m/s
5. Wavelength
Crest
Trough
Amplitude
A package of mass m is released from rest at a warehouse loading dock and slides down a 3.0-m-high frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 2m, from the bottom of the chute. Suppose the packages stick together. What is their common speed after the collision
Answer:
The speed of combined package after the collision is [tex]\frac{\sqrt(2gh)}{4}\\[/tex].
Explanation:
mass of first package = m
height , h = 3 m
mass of second package = 3 m
let the speed of first package is u as it strikes with the second package.
Use the third equation of motion
[tex]v^2 = u^2 + 2 gh \\\\u^2 = 0 + 2 g h \\\\u = \sqrt {2gh}[/tex]
Let the velocity of combined package after the collision is v.
Use the conservation of momentum
[tex]m\times u + 3m \times 0= (m + 3m)\times v\\\\m u = 4mv \\\\v=\frac {u}{4}\\\\v = \frac{\sqrt(2gh)}{4}\\\\[/tex]
It is important to use the correct drying tempture because it prevents shrinkage and will not damage the garment.
True or False
Answer:
fjowe
Explanation:
kbegtrf3g4ef j3kq4ef 3w4beysrf2w4er8f6ywgbaebf7v2wy4egdwa4i6e5
A air glider of mass 1.0 kg that is equipped with a spring bumper travels at a speed of 2.5 m/s toward a second stationary glider of mass 0.75 kg. What is the final speed of the 0.75 kg cart
Answer:
the final speed of the 0.75 kg cart is 2.86 m/s
Explanation:
Given;
mass of the air glider, m₁ = 1.0 kg
initial speed of the air glider, u₁ = 2.5 m/s
mass of the stationary cart, m₂ = 0.75 kg
initial speed of the stationary cart, u₂ = 0
Let the final speed of the stationary cart = v₂
Also, let the final speed of the air glider = v₁
Since the air glider has a spring bumper, the collision will be elastic.
Apply the following principle of conservation of linear momentum for elastic collision.
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(1 x 2.5) + 0.75(0) = v₁ + 0.75v₂
2.5 = v₁ + 0.75v₂
v₁ = 2.5 - 0.75v₂ ----------- (1)
Apply one-dimensional velocity concept since the collision occured in one direction;
u₁ + v₁ = u₂ + v₂
2.5 + v₁ = 0 + v₂
v₁ = v₂ - 2.5 ----- (2)
solve (1) and (2) together;
v₂ - 2.5 = 2.5 - 0.75v₂
v₂ + 0.75v₂ = 2.5 + 2.5
1.75v₂ = 5
v₂ = 5 / 1.75
v₂ = 2.86 m/s
Therefore, the final speed of the 0.75 kg cart is 2.86 m/s
FORCE AND DISPLACEMENT AT AN ANGLE A sailor pulls a boat a distance of 30.0 m along a dock using a rope that makes a 25.0° angle with the horizontal. How much work does the rope do on the boat if its tension is 255 N?
Answer: 6117.58 J
Explanation:
We know that W=Fd*cos(theta) where theta is the angle between the displacement and the force.
In this case, we are given that F=225 N, d=30 m, and theta=25 degrees.
Plugging all this in we get
W=225*30*cos(25)=6117.58 J
Work done by the rope when sailor pulls the boat in the dock is 6930.9 J
What is work ?The work is defined by the product of force and displacement. Its standard formula is,
[tex]W = F.d.Cos\alpha[/tex]
Here F is force, d is displacement and α is angle subtended by force from horizontal.
As given in the question,F = 255N, d = 30m, α = 30°
On putting in the above formulaW = 255×30×Cos30°
=7650×0.906
= 6930.9 J
To learn more about work here
https://brainly.com/question/4095205
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Find the acceleration due to gravity on the surface of a planet with a mass of 3.5 * 10^24 kg and an average radius of 4.5 * 10^6 m.
Explanation:
.........
.....
.......
According to federal dietary guidelines which if these nutrients is underconsumed ?
Answer:
According to federal dietary guidelines, Magnesium among these nutrients is under-consumed.
The diets of most people in the United States provide less than the recommended amounts of magnesium. Old age (people above 65 to 70 mostly) and younger people are most likely to have low intakes of magnesium.
Low magnesium intake for a long period of time, however, can lead to magnesium deficiency and some severe illness due to these deficiencies.
Explanation:
Consider two identical stars, A and B. Star B is 10 times farther away than star A. What is the difference in magnitudes between the two stars?
You can't tell. It depends on other things besides just their distance.
IF the stars are really really "identical", then the magnitude of Star-B is the number that is 6 more than the magnitude of Star-A.
A stretched rubber band is an example of which type potential energy
Answer: elastic potential energy
Explanation:
Answer:
Elastic potential energyExplanation:
A stretched rubber band has the potential to do work or change things. This form of energy is called elastic potential energy.
❣️✧Jess bregoli ✧❣️#keep learning!!During a circus act, an elderly performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of 72.0 kg and its horizontal component of velocity is 6.50 m/s just before the 65.0 kg performer catches it. If the performer is initially motionless on nearly frictionless roller skates, what is his speed immediately after catching the cannon ball
Answer:
3.416 m/s
Explanation:
Given that:
mass of cannonball [tex]m_A[/tex] = 72.0 kg
mass of performer [tex]m_B[/tex] = 65.0 kg
The horizontal component of the ball initially [tex]\mu_{xA}[/tex] = 6.50 m/s
the final velocity of the combined system v = ????
By applying the linear momentum of conservation:
[tex]m_A \mu_{xA}+m_B \mu_{xB} = (m_A+m_B) v[/tex]
[tex]72.0 \ kg \times 6.50 \ m/s+65.0 \ kg \times 0 = (72.0 \ kg+65.0 \ kg) v[/tex]
[tex]468 kg m/s + 0 = (137 kg)v[/tex]
[tex]v = \dfrac{468\ kg m/s }{137 \ kg}[/tex]
v = 3.416 m/s
amount of pressure of liquid increases with ?
Answer: Pressure increases as the depth increases.
Answer:
depths cause it help it with a lot and that it the answer
Plz help!! WILL MARK BRAINLIEST :)
Which forces are easier to anticipate and
design for, internal or external? Why do
you think this is so?
Answer:
The external forces such as wind, water and the vibration of the earth when an earthquake happens create internal forces within a structure. Internal forces such as shear, tension and compression can destroy the inner framework of a building or a bridge even though it is made of super strong steel and concrete.
I Hope This Will Help You ...
Which nucleus completes the following equation?
Answer:
Option D. ²⁰⁸₈₄Po
Explanation:
From the question given above, the following data were obtained:
²¹²₈₆Rn —> ⁴₂He + ?
Let the unknown be ⁿₓD. Thus, the equation becomes:
²¹²₈₆Rn —> ⁴₂He + ⁿₓD
Next, we shall determine n, x and D. This can be obtained as follow:
212 = 4 + n
Collect like terms
212 – 4 = n
208 = n
n = 208
86 = 2 + x
Collect like terms
86 – 2 = x
84 = x
x = 84
ⁿₓD => ²⁰⁸₈₄D = > ²⁰⁸₈₄Po
²¹²₈₆Rn —> ⁴₂He + ²⁰⁸₈₄Po
Thus, option D gives the correct answer to the question.
Phosphorus (P) is an element with an atomic number of 15 and an atomic mass of 31. How many neutrons are in an atom of phosphorus? A.15 B.16 C.31 D.46
(31-15 = 16).
Explanation:
the element phosphorus (P) has an atomic number of 15 and a mass number of 31. Therefore, an atom of phosphorus has 15 protons, 15 electrons, and 16 neutrons
Phosphorus (P) is an element with an atomic number of 15 and an atomic mass of 31, there are 16 neutrons in an atom of phosphorus, therefore the correct answer is option B
What is the atomic number?The total number of protons present in an atom is known as the atomic number of that atom. The atomic number has no correlation either with the number of neutrons or the number of electrons present inside an atom.
As given in the problem Phosphorus (P) is an element with an atomic number of 15 and an atomic mass of 31
Total number of proton in phosphorus = 15
Total number of neutrons in the phosphorus = atomic mass - atomic number
Total number of neutrons in the phosphorus =31 -15
Total number of neutrons in the phosphorus = 16
Thus, the total number of neutrons in a phosphorus atom would be 16, therefore the correct answer is option B
To learn more about the atomic number here, refer to the link;
brainly.com/question/14190064
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a 250 mH coil of negligible resistance is connected to an AC circuit in which as effective current of 5 mA is flowing. if the frequency is 850Hz, find the inductive reactance
Answer:
the inductive reactance of the coil is 1335.35 Ω
Explanation:
Given;
inductance of the coil, L = 250 mH = 0.25 H
effective current through the coil, I = 5 mA
frequency of the coil, f = 850 Hz
The inductive reactance of the coil is calculated as;
[tex]X_l = \omega L = 2\pi f L\\\\X_l = 2\pi \times 850 \times 0.25\\\\X_l = 1335.35 \ ohms[/tex]
Therefore, the inductive reactance of the coil is 1335.35 Ω
150 0.0000
2. Use the distance from the previous problem to calculate how long it takes for light to travel from the
Sun to Earth.
300,000,000X 15000,000,
Answer:
t = 5 10² s
Explanation:
Light is an electromagnetic wave that travels at a constant speed of 3 10⁸ m/s in vacuum.
The distance from the Sun to the Earth is 150 10⁶ km
Let's reduce the distance to the SI system
x = 150 10⁶ km (10³ m / 1 km) = 150 10⁹ m
Since the velocity is constant, we can use the uniform motion relations
v = x / t
t = x / v
let's calculate
t = 150 10⁹ / 3 10⁸
t = 5 10² s
A bullet has a mass of 0.0042kg. The muzzle velocity of the bullet coming
out of the barrel of the rifle is 993m/s. What is the KE of the bullet as it
exits the gun barrel?
Answer:
KE= 1/2mv^2= 1/2*0.0042kg*993m/s= 2.0853joule
What is the rate at which distance changes called
Answer:
a yard
Explanation:
3. A certain horizontal east-west lined wire has a mass of 0.2kg per meter of length and carries a current I. Impressed on the wire is northward-directed horizontal magnetic field strength of 0.4T. Find the current I if the magnetic force is to support the weight of the wire? (use: g = 10m/s?)(3pts)
Answer:
i = 4.9 A
Explanation:
The expression for the magnetic force in a wire carrying a current is
F = i L x B
bold letters indicate vectors.
The direction of the cable is towards the East, the direction of the magnetic field is towards the North, so the vector product is in the vertical direction (z-axis) upwards and the weight of the cable is vertical downwards. Let's apply the equilibrium condition
F - W = 0
i L B = m g
They indicate the linear density of the cable λ = 0.2 kg / m
λ = m / L
m = λ L
we substitute
i B = λ g
i = [tex]\frac{ \lambda \ g}{B}[/tex]
let's calculate
i = 0.2 9.8 / 0.4
i = 4.9 A
what is photoelectron
Answer:
The answer is:-
Explanation:
An electron emitted from an atom by enteraction with an photon, especially an eclectron emitted from a solid surface by the action of light.
What is the reaction force when baseball catcher catches and stops a baseball?
When the baseball catcher catches a baseball, then ... during the time that he is slowing the ball down and stopping it ... he is exerting an action force with his glove on the ball, and the ball is exerting an equal and opposite reaction force on his glove.
An electric drill at 400 W is connected to 120 V power line. What is the resistance of the drill?
Answer:
36 ohm
Explanation:
Given :
P=400 W
V=120V
Now,
[tex]P=\frac{V^{2} }{R} \\400=\frac{120^{2} }{R} \\400R=14400\\R=\frac{14400}{400} \\R=36 ohm[/tex]
Therefore, resistance of the drill will be 36 ohm
A football player collides with another player. The force of the collision is
1000 kg•m/s. The collision lasts 1 second. What is the impulse?
Answer:
Impulse = 1000 Ns
Explanation:
Given the following data;
Force of collision = 1000 kg•m/s.
Time = 1 seconds
To find the impulse;
Mathematically, the impulse experienced by an object or body is given by the formula;
Impulse = force * time
Substituting into the formula, we have;
Impulse = 1000 * 1
Impulse = 1000 Ns
What is the thinnest soap film (excluding the case of zero thickness) that appears black when illuminated with light with a wavelength of 555 nmnm
Answer:
The minimum thickness of soap film is [tex]2.086\times 10^{-7} m[/tex].
Explanation:
wavelength = 555 nm
refractive index, n = 1.33
For the destructive interference,
the thickness is given by
[tex]t =\frac{m \lambda }{2 n}[/tex]
Here, m is the order, n is the refractive index and [tex]\lambda[/tex] is the wavelength.
For minimum thickness, m = 1
So the thickness is
[tex]t =\frac{1 \times 555\times 10^{-9} }{2 \times 1.33}\\\\t = 2.086\times 10^{-7} m[/tex]
A projectile is fired with an initial velocity of 120 meters per second at an unknown angle above the horizontal. If the projectile's speed at the top of the trajectory is 45 meters per second, what is the unknown angle
Answer:
[tex]68.0^{\circ}[/tex]
Explanation:
A projectile's vertical velocity at the top of its flight path must be zero, therefore the speed at the top of the trajectory must be referring to the object's horizontal velocity. Since there are exactly zero horizontal forces acting on the object, its horizontal velocity will remain the exact same throughout the entire launch. Thus, the horizontal component of the initial launch must be 45 meters per second, and we have the following equation using basic trigonometry for a right triangle:
Let [tex]\theta[/tex] be the unknown angle above the horizontal.
[tex]\cos \theta=\frac{45}{120},\\\theta=\arccos(\frac{45}{120})=67.97568716^{\circ}\approx \boxed{68.0^{\circ}}[/tex]
A violinist is tuning her violin to 440Hz. She plays the note while listening to an electronically generated tone and hears 3Hz, which increases to 4Hz when she tightens the violin. What was the frequency of the note played by the violin when she heard the 3 Hz beats
Answer:
[tex]X=438Hz[/tex]
Explanation:
From the question we are told that:
Beat Frequency [tex]Fb=440Hz[/tex]
Actual Frequency [tex]F_a=3Hz[/tex]
Generally the equation for Frequency Heard X is mathematically given by
[tex]X=beat\ frequency\ +\ actual\ frequency[/tex]
[tex]X=F_a+Fb[/tex]
[tex]X= 440Hz+3Hz[/tex]
[tex]X=438Hz[/tex]
What are vectors and Scalar?
Answer:
vectors are the quantities that are described by both magnitude and direction
scalar are the quantities that are described by magnitude only
I hope it helps
Answer:
scalar : just magnitude
vector : magnitude and direction
Explanation:
Scalar And Vector. ... A scalar quantity is defined as the physical quantity that has only magnitude, for example, mass and electric charge. On the other hand, a vector quantity is defined as the physical quantity that has both magnitude as well as direction like force and weight.
A model plane has a mass of 0.75 kg and is flying 12 m above the ground
with a speed of 18 m/s. What is the total mechanical energy of the plane?
The acceleration due to gravity is 9.8 m/s2.
Answer:
Option C. 210 J.
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 0.75 Kg
Height (h) = 12 m
Velocity (v) = 18 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Total Mechanical energy (ME) =?
Next, we shall determine the potential energy of the plane. This can be obtained as follow:
Mass (m) = 0.75 Kg
Height (h) = 12 m
Acceleration due to gravity (g) = 9.8 m/s²
Potential energy (PE) =?
PE = mgh
PE = 0.75 × 9.8 × 12
PE = 88.2 J
Next, we shall determine the kinetic energy of the plane. This can be obtained as follow:
Mass (m) = 0.75 Kg
Velocity (v) = 18 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 0.75 × 18²
KE = ½ × 0.75 × 324
KE = 121.5 J
Finally, we shall determine the total mechanical energy of the plane. This can be obtained as follow:
Potential energy (PE) = 88.2 J
Kinetic energy (KE) = 121.5 J
Total Mechanical energy (ME) =?
ME = PE + KE
ME = 88.2 + 121.5
ME = 209.7 J
ME ≈ 210 J
Therefore, the total mechanical energy of the plane is 210 J.