Answer:
Gamma Ray but read below
Explanation:
All of the types of electromagnetic radiation listed can pass through Earth's atmosphere, although some types are absorbed or blocked more easily than others.
Visible light, infrared radiation, and radio waves are able to pass through the atmosphere relatively easily, while gamma rays are more likely to be absorbed.
This is because gamma rays have a higher energy than the other types of radiation, so they are more easily absorbed by the atoms and molecules in the atmosphere.
Answer:
Gamma Rays
Explanation:
It has the highest possible frequency lowest wavelength and the most energetic charge. Its travels at the speed of light and is highly penerative
If a conductor is in electrostatic equilibrium near an electrical charge:A) The total charge on the conductor must be zero.B) The electric field inside the conductor must be zero.C) The charges on the conductor must be uniformly distributed.D) The sum of all forces between conductor and the electrical charge must be zero.
If a conductor is in electrostatic equilibrium near an electrical charge i.e. the correct option is, B) The electric field inside the conductor must be zero.
Because charge carriers can freely move within a conductor, when a charged or uncharged conductor is exposed to an external electric field, charge will flow until a steady state is reached, at which point the net flow of charge will cease. This state is known as electrostatic equilibrium. If the conductor is charged, the charges within it are rearranged, resulting in a zero net electric field inside the conductor. The net field inside the conductor again becomes zero if the conductor is polarized after being neutral.A neutral or charged conductor will typically achieve electrostatic equilibrium with a net zero electric field inside of it when it is kept close to an electric charge.The conductor in electrostatic equilibrium has characteristics such as a zero electric field inside and excess charges that are located on the surface. Therefore, the conductor's internal electric field must be zero.
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a concentration of 400 ppm is the safe soil lead concentration threshold. the scientist used method a and found the soil sample had a lead concentration of 1358 ppm. write a conclusion about the lead concentrations in this sample of soil. in your conclusion include one recommendation from the table.
The lead pollution can be remediated by the appllication of the approppiate reagents.
What is the recommendation?We know that we need to always consider the threshold concentration of pollution as we are looking at the safety of the environment
Now we are told that the safe concentration of the lead must not be more than 400 ppm. Above that concentration, the effects may be quiet fatal.
There should be spirited attempts to remediate the soil by the use different methods so that the soil can become good again for the growing of crops.
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again, in just a couple of sentences, briefly consider the reason for visible differences between one wavelength image's contents versus another's.
Understanding an object's structure and function requires observation at a variety of wavelengths.
We perceive at different wavelengths for what reason?This is due to the fact that we have just lately been able to view the complete electromagnetic spectrum of the universe.There are objects in our universe that emit a wide variety of radiation having wavelengths either being too short or long for human eyes to see.
Why do astronomers capture photos using different wavelengths of light?Astronomers can learn something distinctive about an item by examining its light at various wavelengths.Astronomers may see "the broad picture" of what's actually happening with that object by examining all available wavelengths and developing models that account for everything those photographs show.
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g draw shear force and bending moment diagrams of the below beam. make sure to include/show all necessary values on the diagrams and the way that you calculate them
The maximum absolute values of the shear and bending moment is 2P and 3Pₐ respectively.
(a) Diagram is shown in image.
From A to B:
+∑Fy = 0: V = -P
+∑M₁ = 0: M = -P
From B to C:
+∑Fy = 0:
-P-P-V = 0
⇒ V = -2P
+∑M₂ = 0:
Pₓ+P(x - a)+M =0
⇒ M = -2Pₓ + Pₐ
(b) The maximum bending moment occurs in a beam, when the shear force at the section is zero or changes the sign because at point of contra fixture the bending moment is zero.
Therefore
= |V|max = 2P
= |M|max = 3Pₐ
Thus, the maximum absolute values of the shear and beading moment is 2P and 3Pₐ.
-- The given question is incomplete, I answer the question in general according to my knowledge and the complete question is
"For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment." --
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Assume a small spacecraft is in open space. One panel is a dedicated radiator (dimensions in image) and is painted with S13 GLO white paint (emissivity = .89). If the radiator is at 30C and has a full view factor to space, how much heat can it reject from the system? (How much is this radiator radiating to space?). Use 3K for space temperature. Round answer up to one decimal place. No need to include units.
This radiator's Heat radiation is 12.8 W.
Provided, the temperature of the radiator θ = 30°C
So, the absolute temperature of the radiator,
T = ( θ + 273 ) K
= ( 30 +273 ) K
= 303 K
Also provided, the temperature of the surrounding space, T₀ = 3 K
The emissivity of the white paint, ε = 0.89
The length of one side of the radiator, L = 0.3m and the breadth, B = 0.1m.
Now, the amount of rate of heat transfer by a system at temperature T to a surrounding space at temperature T₀ is given by the formula,
Q = σεFA(T⁴-T₀⁴).
where A is the area of the system exposed to the surrounding, F is the view factor, σ is the Stefan-Boltzmann constant = 5.67 × 10⁻⁸Wm⁻²K⁻⁴ and σ is the emissivity of the system.
Here, the surface area of the radiator,
A = LB = (0.3m) (0.1m) = 0.03 m²
According to the question, the radiator has a full view factor to the space, i.e. we can say, the view factor in this case is, F = 1.
Substituting all known values into the equation we just mentioned we get,
Q = σεFA(T⁴-T₀⁴)
= (5.67 × 10⁻⁸Wm⁻²K⁻⁴) (0.89) (1) (0.03 m²) [ (303K)⁴ - (3K )⁴ ]
= 12.76 W
≈ 12.8 W
So, the rate of heat radiation is, Q = 12.8 W
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the bitewing tab is a heavy paperboard tab or loop fitted around a periapical film or sensor and used to stabilize the receptor during exposure. (2) the periapical receptor is oriented in the bite loop so that the tab portion extends from the white side (tube side) of the film or sensor.
the bitewing tab is a heavy paperboard tab or loop fitted around a periapical film or sensor and used to stabilize the receptor during exposure. true
What is stabilize?
to stop changing and fix something, especially to prevent it from getting worse, or to induce something to stop changing and fix it: These drugs reduce blood pressure and calm your heart rate.
the periapical receptor is oriented in the bite loop so that the tab portion extends from the white side (tube side) of the film or sensor.True
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Glenn works at the local grocery store and his gross pay is $800. Joe's
withholdings are as follows:
Federal Income Tax - $100.00
State Income Tax = $45.00
Local Income Tax- $20.00
Social Security Tax- $15.00
Medicare Tax - $5.00
401K Contribution - $50.00
a. What is the total dollar amount of withholdings? (2 points)
b. In dollars, what will Glenn's net pay be? (2 points)
Blank #1
Blank #2
a. The total dollar amount of withholdings equals to $185
b. Glenn’s net pay will be $615
What is Withholding?This means the income an employer takes out of an employee's paycheck and remits to the federal, state, and/or local government. A technique used to collect income tax in advance is withholding tax (WHT).
Net pay is what employees earn after all payroll deductions are subtracted from their gross pay, also known as take-home pay. Your payslip will typically include information about your net salary after all deductions have been made, frequently at the bottom. Keep in mind that net pay is your salary less any deductions. This will be in accordance with the sum of money deposited into your bank account.
The total dollar amount of withholdings is:
= Income Tax + State Income Tax + Social Security Tax + Medicare Tax
= $100.00 + $45.00 + $20.00 + $15.00 + $5.00
= $185
The amount of Net pay is:
= Gross pay - Withholdings
= $800 - $185
= $615
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On a baseball field, first base is about 30 m away from home plate and second base is 30 m away from first base. A batter gets a hit and makes it to second base. What is the hitters final displacement from home plate?
The hitters final displacement from home plate is 60 m.
What is displacement?The displacement of an object is the change in the position of the object.
The displacement of an object is determined from the shortest distance between the initial position and the final position of an object.
The hitters final displacement from home plate is calculated as follows;
Δx = x₁ - x₂
where;
x₁ is the initial position x₂ is the final positionΔx = x₁ - x₂
Δx = 30 m - ( - 30 m)
Δx = 30 m + 30 m
Δx = 60 m
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an object is in the air above a flat water surface. to an observer underwater looking up at it, it will appear to be higher than its true position.
The angle from which the light rays reach your eyes is greater than the angle they would in air because air and water have virtually the same index of refraction of 1.
Do objects appear larger when viewed from above the water when submerged?The refractive index of water is 4/3 that of air, and light rays are bent away from the normal when they enter air from water, therefore there is no doubt that objects are optically magnified.
Underwater, do objects become heavier or lighter?A: The mass of items does not change when they are submerged in water. But because of buoyancy, they appear to feel lighter.
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a man who is 6 feet tall is walking away from a lamp post at a rate of 5 feet per minute the lamp post is 20 feet tall the person casts a shadow on the ground in from of them
(a) The growing rate of shadow when the person is 30 ft from the lamp post is 15/7 ft/m
(b) The moving rate of the tip of the shadow when the person is 30 ft from the lamp post is 50/7 ft/m
Given,
Height of the man = 6 ft
Height of the lamp post = 20 ft
[tex]\frac{dx}{dt} =5 ft/m[/tex]
Let,
The distance between the base of lamp and the man = x
From the geometry,
[tex]\frac{6}{20} =\frac{y}{x+y}[/tex]
[tex]6(x+y) = 20y[/tex]
[tex]3x=7y[/tex] .......................(1)
And,
[tex]6(\frac{dx}{dy} )=14(\frac{dy}{dt} )[/tex]
[tex]\frac{dy}{dt}=\frac{15}{7}[/tex]
∵ [tex]\frac{dx}{dt} =5 ft/m[/tex]
∴ [tex]\frac{dx}{dt}+\frac{dy}{dt} =5+\frac{15}{7}[/tex][tex]=\frac{50}{7}[/tex]
Hence,
(a) The growing rate of shadow when the person is 30 ft from the lamp post is 15/7 ft/m
(b) The moving rate of the tip of the shadow when the person is 30 ft from the lamp post is 50/7 ft/m
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1. W= 500 Joules
t = 25 seconds
P = ?
The power is 20w when the work done is 500 joules in 25 seconds.
What is power?The amount of energy transferred or converted per unit time is referred to as power. The watt is the unit of power in the International System of Units, equal to one joule per second. In older works, power is sometimes called activity. A scalar quantity is power.Work divided by time equals power.P = W / T
Another formula for power based on energy and time is :
The formula is P = E/t, where P represents power, E represents energy, and t represents time in seconds. According to this formula, power is defined as the consumption of energy per unit of time.Here given,
W = 500 J
T = 25 sec
By substituting,
P = W/T
= 500 / 25
= 20w
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An electromagnetic wave travelling in the x-direction has frequency of 2×10 14 Hz and electric field amplitude of 27 Vm −1. From the options given below, which one describes the magnetic field for this wave?
The magnetic field for this wave is
[tex]B(x, t)=(9*10^{-8}T )i sin[2\pi (1.5*10^{-8}x-2*10^{14}t )][/tex].
Electromagnetic Wave:
The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves or EM waves. In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves.
Given,
Frequency of the wave; [tex]f=[/tex] [tex]2*10^{14} Hz[/tex]
The amplitude of the Electric Field; [tex]E_{0} = 27 N/C[/tex]
We know that Maxwell's equation is given by,
[tex]\frac{E_{0} }{B_0} =c[/tex] .....................(1)
Where,
[tex]E_{0} =[/tex] The amplitude of the electric field
[tex]B_{0}=[/tex] The amplitude of the magnetic field
[tex]c=[/tex] The velocity of light = [tex]3*10^{8} N/m^{2}[/tex]
By solving equation (1), we get
[tex]B_{0} =\frac{27}{3*10^{8} }[/tex]
[tex]B_{0}=9*10^{-8}[/tex]
We know that,
Angular frequency; ω [tex]= 2\pi f[/tex]
The equation of the magnetic field can be given by
[tex]B_{0}sin(kx-\omega t) =B_{0}sin(2\pi (\frac{x}{\lambda}-ft ))[/tex]
[tex]B_{0}sin(kx-\omega t)=9*10^{-8} sin(2\pi (\frac{x}{\lambda}-2*10^{14} t))[/tex].
Hence,
The magnetic field for this wave is
[tex]B(x, t)=(9*10^{-8}T )i sin[2\pi (1.5*10^{-8}x-2*10^{14}t )][/tex].
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7. A 50 kg athlete runs and grabs a 10.0 m rope and swings to a maximum height of 1.8 m above
the ground. A second athlete, who has a mass of 100. kg runs at the same speed, v, and grabs a
5.0 m rope. What maximum height will the 100. kg athlete swing to? Assume the mass of the
ropes and air resistance are negligible. Support your answer with calculations and/or a proof.
(3 marks)
50 kg
10 m
100 kg
T
5m
Answer:
1.8 m
Explanation:
All the KE of the 50 kg runner converts to PE at the top of his swing.
1/2mv² = mgh
1/2(50 kg)(v²) = (50 kg)(9.8 m/s²)(1.8 m)
25v² = 882
v² = 882/25 = 35.3
v = √35.3 = 5.94 m/s
The 100 kg runner also runs at the same speed, 5.94 m/s.
You can solve for the max. height (h) of the 100 kg runner:
1/2 (100 kg)(5.95 m/s)² = (100 kg)(9.8 m/s²)(h)
h = 1764.2/980 = 1.8 m SAME AS THE OTHER RUNNER!
6. Which diagram demonstrates how crossing over contributes to genetic diversity during meiosis?
The diagram which demonstrates how crossing over contributes to genetic diversity during meiosis is referred to as option C.
What is Meiosis?This is referred to as a type of cell division in which the parent cells produce four unique daughter cells and it is mostly involved during formation of gametes and sexual reproduction.
Crossing over is a process which occurs between prophase I and metaphase I and involves the exchange of genetic material during the formation of germ cells in an organism and it results in the production of unique combinations and variation in the daughter cells.
This process is also characterized by the chromosomes of the same type being lined up before the exchange takes place which is therefore the reason why option C was chosen as the correct choice.
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A 472 kg roller coaster is on top of a 12 m high hill. It starts from rest and then goes down the hill. How fast is
it going when it reaches the bottom?
The roller coaster is going with 15.34 m/s when it reaches the bottom.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.
According to the question, potential energy of the roller coaster at initial position = mass * acceleration due to gravity* height = mgh
Let the speed of the roller coaster at the bottom = v.
So, kinetic energy at the bottom = 1/2 * mass * speed^2 = 1/2 mv^2
From conservation of energy:
mgh = 1/2mv^2
v= √( 2gh)
= √( 2 × 9.8 × 12) m/s
= 15.34 m/s.
Hence, the speed of it at the bottom is 15.34 m/s.
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Two blocks, A and B (with mass 50 kg and 100 kg, respectively), are connected by a string, as shown in Figure P5.64. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is ?k = 0.25. Determine the change in the kinetic energy of block A as it moves from C to D, a distance of 15 m up the incline if the system starts from rest. ____J
The change in the kinetic energy of block A is 1,837.5 J.
What is the change in the kinetic energy of the block?
The change in the kinetic energy of the blocks as it moves through the given distance is the work done in overcoming the force of friction.
Based on the law of conservation of energy, the equation is given as;
ΔK.E = W (f)
Where;
ΔK.E is the change in kinetic energyW (f) is the work done by force of frictionW (f) = μmgd
where;
μ is the coefficient of friction between block and the inclinem is the mass of block Ag is acceleration due to gravityd is the distance travelled by block AThe change in the kinetic energy of the block A is calculated as follows;
W (f) = μmgd
W (f) = 0.25 x 50 x 9.8 x 15
W (f) = 1,837.5 J
Thus, the change in the kinetic energy of block A is a function of work done by force of friction along the incline.
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A child on a bike traveled 20 m east, and then 30 m north. What was the displacement of the child?
50 m, north
36 m, north
36 m, northeast
50 m, northeast
The displacement of the child is 36 m, northeast.
Define displacement.
Displacement is the difference between an object's starting location and any subsequent position (such as the position of a body or geometric figure). An object's position in relation to a reference frame changes when there is displacement. It is allegedly displaced. The vector quantity displacement has a magnitude and a direction.
Here, imagine
Distance travelled to east is side AB of a right sided traingle,
AB = 20m
Distance travelled to north is side BC of the same triangle ,
BC = 30m
To find total displacement is to find side AC of the above triangle,
According to Pythagorus theorem
(AC)^2= (AB)^2 + (BC)^2
(AC)^2 = (20)^2 + (30)^2
AC = 36m
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after extinguishing a fire on the first floor of a two-story balloon-framed house, the best action for crews is to immediately open the walls and check for fire in the:
After extinguishing a fire on the first floor of a two-story balloon-framed house, the best action for crews is to immediately open the walls and check for fire in the basement, second floor, and attic.
The vertical struts of the outer wall are continuous from the foundation to the roof with a balloon frame structure. When the roof collapses into a structure, it can provide a watertight cover over a buried fire. Heavy wood is more stable than lightweight structures in fire conditions.
Marion of the building is surrounded by balloons, from the foundation to the eaves line he extends upwards more than two stories. A mansard or mansard roof is his four-sided gambrel-style hipped roof characterized by his two slopes on either side, the lower slope pierced with dormer windows and angled more steeply than the upper.
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landings at the top and bottom of stairs should be at least equal in length to the of the stairway.
In cases when the stairway is straight, the width of the landing in the direction of travel must at least match the stair's width and cannot be greater than 1219mm.
The four main axes are north, south, east, and west. A map is a representation or drawing of the entire or a portion of the surface of the earth done to scale and on a flat surface. A spherical shape, however, cannot be totally flattened. Distance, direction, and symbol are the three elements that make up a map.
Most maps have an arrow with the letter "N" on them in the upper right-hand corner. North is indicated by this arrow's orientation. It is referred to as the north line. You can determine which direction is east, west, or south once you know which way is north. The four main axes are North, South, East, and West.
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a rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95a , is oriented with the plane of its loop perpendicular to a uniform 1.50 t magnetic field
If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Torque will likewise be 0 at that point.
Given that, a rectangular coil of wire, 22 cm by 35 cm and carrying a current of 1.95 A, is oriented with the plane of its loop perpendicular to a uniform 1.50 T magnetic field.
The strength of magnetic torque on the current-carrying circle is given by the below formula, if θ is the angle between A and B. Then we have
τ = I AB sin θ
When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.
Then θ = 0°
Then we have,
τ = I AB sin 0° = 0
The question is incomplete. The complete question is 'Find out the torque in the coil.'
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a converging lens with a focal length of 20 cm and a diverging lens with a focal length of -38 cm are 78.0 cm apart. a 2.7-cm-tall object is 40 cm in front of the converging lens.
The image height for a converging lens with a 20 cm focal length and a diverging lens with a 38 cm focal length that are 78.0 cm apart is 1.35 cm. 40 cm are in front of the converging lens
And a 2.7 cm tall object is there. An optical lens that converges all light rays travelling through it is known as a converging lens. A converging lens main function is to concentrate and converge the incoming light rays from an object to create an image. Depending on how close an object is to the lens, the image may be enlarged or unchanged.
h = (-di/do)(-di2/do2)*height
h = (-38/38)(-(-15))/30 (2.7)
h = -1.35 cm
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The complete question is-
a converging lens with a focal length of 20 cm and a diverging lens with a focal length of -38 cm are 78.0 cm apart. a 2.7-cm-tall object is 40 cm in front of the converging lens. Calculate the image height. Express your answer to two significant figures and include the appropriate units.
which of these situations corresponds to n independent bernoulli trials having the same probability p of success?
The probability mass function is obtained as:
[tex]p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12[/tex]
Outcome is,
[tex]n=12 \\ p=0.4[/tex]
Let X be discrete random variable which takes value [tex]$i=1,2 \ldots$[/tex].
Now the probability of mass function at point is is given by:
[tex]p(x=p)=p\left(x_i\right)=F\left(x_i\right)-F\left(x_{(i-1)}\right)[/tex]
By using Bernoulli's random variable:
[tex]P(x=x)=p^x(1-p)^{1-x} x=0,1[/tex]
where as [tex]$x=0 \Rightarrow$[/tex] corresponds to failure
[tex]$x=1 \Rightarrow$[/tex] correspond to Success
p is probability function of Success.
Therefore the total number of Success in ' n ' independent Bernoulli trials is Sum of ' n ' bernoulis random variable which gives binomial distribution.
By using multiplication rule the probability of observing ' x 'Successes in ' n ' independent bernoulli trials it can be written as:
[tex]\underbrace{p \times p \times \ldots \times p}_{x \text { times }} \times(\underbrace{() 1-p) \times(1-p) \times \ldots \times(1-p)}_{n-x \text { times }}[/tex]
The probability mass function :
[tex]p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12[/tex]
where as
[tex]n=12 \\ p=0.4[/tex]
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Note:- The question is as follow,
Consider the probability space [tex]$(S, M, P)$[/tex] that models the observed proportion of successes in n independent Bernoulli trials with probability of success equal to p. For example, given n=12 and p=0.4, the outcome [tex]\frac{5}{12}=.41 \overline{6} \:in $(S, M, P)$[/tex] should have the same probability as the outcome of 5 successes in 12 independent Bernoulli trials with probability of success equal to 0.4. Give a formula for the density function f(s) for this probability space in terms of the density [tex]$f_{n, p}$[/tex] of the binomial distribution with size n and probability p. ( points)
find the linear acceleration of the spool below (mass m, moment of inertia i) if it is rolling without slipping:
The linear acceleration of the spool below (mass m, moment of inertia i) if it is rolling without slipping: A spool of mass m and moment of inertia I (around its center) is free to roll without slipping on a table. It has an inner radius of r and an outer radius of R.
In mechanics, acceleration is the charge of the alternate velocity of an item with recognition of time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the internet pressure acting on that item.
Acceleration, is the price at which speed modifications with time, in terms of each pace and path. A point or an object transferring in an instant line is accelerated if it quickens or slows down. movement on a circle is multiplied although the rate is constant due to the fact the path is always converting.
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A 4kg blob of putty moving at 8 m/s slams into a 12 kg blob of putty at rest. What is the velocity of the two stuck- together blobs immediately after colliding?
The speed of the to stick together blobs immediately after colliding will be 2m/s.
How to solve?Given that:
Mass of first blob = 4kg = m1
Velocity of blob = 8m/s = v1
Mass of second blob = 12kg = m2
Velocity of blob = 0m/s = v2
To find:
Final velocity = Vf
Formula to be use:
(m1*v1) + (m2*V2) = Vf(m1 + m2)
(4*8) + (12*0) = Vf(4+12)
32 + 0 = Vf(16)
32 = Vf(16)
Vf = 2m/s
So the speed of two blobs immediately after colliding = 2m/s
How do we arrive at the V1 and V2 equations for elastic collisions?V1: (m1-m2/m1+m2)
u1 + (2m2/m1+m2)
u2 V2: ( 2m1/m1+m2) u1 + (m2-m1/m1+m2) u2 Assume that mass 1 has an initial velocity of u1, a final velocity of v1, a mass 2 beginning velocity of u2, and a mass 2 final velocity of v2.
What in physics does m1v1 m2v2 mean?V1 stands for the volume of stock solution required to create the new solution. M1 = Stock solution concentration. The total volume of the solution is V2.
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the activation energy of the forward reaction is equal to the sum of the activation energy for the reverse reaction and the enthalpy change for the forward reaction.
No, the activation energy for a forward reaction is not equal to the activation energy for the reverse of the same reaction.
In order for compounds to undergo a chemical reaction, a certain amount of energy is required, known as the activation energy. The unit of measurement for a reaction's activation energy (Ea) is either joules per mole (J/mol), kilojoules per mole (kJ/mol), or kilocalories per mole (kcal/mol). You can think of activation energy as the size of the potential barrier between the minima of the potential energy surface related to the initial and final thermodynamic states, which is also referred to as the energy barrier. If the system temperature is high enough, there should be a sizable number of molecules with translational energies that are equal to or higher than the activation energies.
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Two blocks with masses 3m and 4m are on a collision course with the same initial speeds v The block with mass 3m is traveling to the left, and the 4 block is traveling to the right. They undergo a head-on elastic collision and each bounces back, along the same line as it approached. Find the final speeds of the particles (Enter your answers in terms of the initial speed of each mass.) Vam X Apply the final velocity equations for elastic collisions: mi 2m2 11+ 22 m, m2 + 2m m + mm Note that il- lvl = v. Be careful of your signs! Vam
The final velocity equations for elastic collisions is
[tex]$\begin{aligned}& u_1=\frac{3}{2} v_i \\& u_2=\frac{1}{2} v_i\end{aligned}$$[/tex]
A collision between two bodies in physics is referred to as an elastic collision if their combined kinetic energy stays constant. There is no net conversion of kinetic energy into other forms, such as heat, noise, or potential energy, in an ideal, fully elastic collision.
Lat their final speeds of bouncing back are u_1 and u_2 As the collision is clastic, e=1So,u_1+u_2=v_i+v_i=2 v_i
From momentum conservation, 3 m v_i-4 m v_i=4 m u_2-3 m u_1
[tex]$$\begin{aligned}& \Rightarrow \quad-2 v_i=4 u_2-3 u_1 \\& \Rightarrow 3 u_1-5 u_2=2 v_i-\text { (2) }\end{aligned}$$[/tex]
From (1) and (2),
[tex]$$\begin{aligned}u_1+u_2 & =3 u_1-5 u_2 \\\Rightarrow 2 u_1 & =6 u_2 \Rightarrow u_1=3 u_2\end{aligned}$$[/tex]
From (1),
[tex]$3 u_2+u_2=2 v_i$[/tex]
[tex]$$\text { and } \begin{aligned}\Rightarrow u_2 & =\frac{1}{2} v_i \\u_1 & =3 u_2=\frac{3}{2} v_i .\end{aligned}$$[/tex]
So,
[tex]$$\begin{aligned}& u_1=\frac{3}{2} v_i \\& u_2=\frac{1}{2} v_i\end{aligned}[/tex]
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you thoughtfully set a 1 kg box on top of a loaf of bread and the loaf compresses by 15 cm. Thinking of the bread as a spring, its spring constant is
Answer:
k = 65.3 N/m
Explanation:
Fs = Fg = mg = (1.0 kg)(-9.8 m/s²) = -9.8 N
x = 15 cm = 0.15m
Fs = -kx (Hooke's Law)
-k = Fs/x = (-9.8 N)(0.15 m) = -65.3
k = 65.3 N/m
two bags of oranges are dropped from a roof at the same time. one bag has two oranges, and the other has 14. which of the following statements is true? A) Bag two is seven times heavier than bag one so it falls seven times faster than bag one.
B) Bag two has seven times the force acting on seven times the mass so it falls as fast as bag one.
C) Bag one is seven times lighter than bag two so it falls seven times slower than bag two.
D) The force acting on bag one and the force acting on bag two are the same.
When two bags of oranges are dropped from a roof at the same time, of which one has two oranges and the other has 14, (d) The force acting on bag one and the force acting on bag two are the same.
Lighter bag and Heavy bag fall at the same time and same rate in vacuum because there is no air resistance and the acceleration in free fall doesn't depend on the mass of the object.
Gravitational force= GMm/R^2
G= gravitational constant(6.67/10^11)
M=mass of Earth
m= mass of object
According to Newton's second law of motion
F=ma
GMm/R^2 = ma
Mass of object gets cancelled. So acceleration of doesn't depend on mass of object.
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Question From what activity can you be sure that athletes find great utility?
Composing music
Raising children
Playing sports
Reading books
Playing sport is the activity in which you can be sure that athletes find great utility and is therefore denoted as option C.
Who is an Athlete?This is referred to a person who competes in one or more sports such as soccer, basketball etc that involve physical strength, speed, or endurance etc.
Therefore playing sports by an athlete will lead to an increase in utility as a result of them developing various skills and composure from it in the form of endurance, strength etc and various positions on the field which isn't applicable in reading books or composing music and is therefore the reason why it was chosen as the correct choice in this scenario.
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The linear density of a string is 1.6 10-4 kg/m. A transverse wave on the string is described by the equation y = (0.021 m) sin[(2.7 m-1)x + (20 s-1)t].what is the wave speed?what is the tension in the string?
The required wave speed and tension in the string are 15 m/s , 0.036 N respectively.
What is speed?Speed is characterized as. The pace of progress of position of an item toward any path. Speed is estimated as the proportion of distance to the time in which the distance was covered. Speed is a scalar amount as it has just course and no extent.
According to question:(a) The wave speed is given by v=λ/T=ω/k,
where λ is the frequency, T is the period ω is the precise recurrence (2π/T), and k is the rakish wave number(2π/λ).
The displacement has the structure y=y sin(kx+ωt), so 4k=2.0m
furthermore, ω=30 rad/s.
Hence v=(30 rad/s)/(2.0m)=15 m/s.
b) Since the wave speed is given by v= τ/μ
, where τ is the pressure in the string and μ is the straight mass thickness of the string, the strain is
τ=μv =(1.6×10 kg/m)(15 m/s) =0.036 N.
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