Answer:golf ball
Explanation:
What is the mass of an object that has 795J of moving kinetic energy and is moving at 3.5 m/s ?
Given data
*The given energy is k = 795 J
*The speed of the object is v = 3.5 m/s
The formula for the kinetic energy of the object is given as
[tex]k=\frac{1}{2}mv^2[/tex]*Here m is the mass of the object
Substitute the known values in the above expression as
[tex]\begin{gathered} 795=\frac{1}{2}m(3.5)^2 \\ m=129.79\text{ kg} \end{gathered}[/tex]Hence, the mass of the object is m = 129.79 kg
a meter stick has a mass of 0.172 kg and balances at its center. when a small chain is suspended from one end, the balance point moves 21.8 cm toward the end with the chain. determine the mass of the chain.
If the stick stays in the above-shown horizontal position at rest, m is 5 kg.
What is meant by mass?The amount of matter in a substance or an object is measured by its mass. The kilogram (kg) is the fundamental SI unit of mass, while lower masses can also be measured in grams (g). A balance is what you would use to measure mass. In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or position in response to the application of a force.In the event that the torques around the suspension point are balanced, the stick will stay at rest in the horizontal position.
[tex]\tau_{\mathrm{CCW}} &=\tau_{\mathrm{CW}} \\[/tex]
[tex]r_1 F_1 &=r_2 F_2 \\[/tex]
[tex]r_1 m_1 g &=r_2 m_2 g \\[/tex]
[tex]m_2 &=\frac{r_1 m_1}{r_2}=\frac{(50 \mathrm{~cm})(3 \mathrm{~kg})}{30 \mathrm{~cm}}=5 \mathrm{~kg}[/tex]
It should be noted that finding m2 could also be done using the center of mass formula, but doing so would require algebra. The balance point can typically be located using the center of mass formula. It is typically simpler to apply torque if the balance point is known.
The complete question is:
A uniform meter stick of mass 1 kg is hanging from a thread attached at the stick’s midpoint. One block of mass m = 3 kg hangs from the left end of the stick, and another block, of unknown mass m, hangs below the 80 cm mark on the meter stick. If the stick remains at rest in the horizontal position shown above, what is m ?
A. 4 kg
B. 5 kg
C. 6 kg
D. 8 kg
E. 9 kg
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Aircraft carriers use catapults to launch jets from their deck. One such catapult accelerates a 18,900 kg aircraft from rest to 61 m/s in 3.3 s. What is the magnitude of the force (in N) required to do this?
Given that the mass of catapult, m = 18900 kg
The initial velocity is
[tex]v_o=\text{ 0 m/s}[/tex]As the body is at rest initially.
The final speed is
[tex]v_f=\text{ 61 m/s}[/tex]The time taken is t = 3.3 s
We have to find the force.
According to Newton's second law, the formula to calculate force is
[tex]\begin{gathered} F=\text{mass}\times acceleration \\ =m\times\frac{(v_f-v_o)}{t} \end{gathered}[/tex]Substituting the values, the force will be
[tex]\begin{gathered} F=18900\times\frac{61-0}{3.3} \\ =349363.63\text{ N} \end{gathered}[/tex]Thus, the force is 349363.63 N
A rock is placed into a graduated cylinder and the volume of water increases from 50 ml to 60 ml. If the rock has a mass of 25 grams, what is its density?
The density of the rock, having a mass of 25 grams which increases the volume of water from 50 mL to 60 mL is 2.5 g/mL
How do I determine the density of the rock?To obtain the density of the rock, we must know the volume of the rock. The volume of the rock can be obatined as follow:
Volume of water = 50 mL Volume of water + rock = 60 mL Volume of rock =?Volume of rock = (Volume of water + rock) - volume of water
Volume of rock = 60 - 50
Volume of rock = 10 mL
Now, we shall determine the density of the rock. This is illustrated below:
Volume of rock = 10 mL Mass of rock = 25 grams Density of rock = ?Density = mass / volume
Density of rock = 25 / 10
Density of rock = 2.5 g/mL
Thus, we can say that the density of the rock is 2.5 g/mL
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How much energy is stored in a spring with a spring constant of 150 N/m when it is compressed 2 cm?
The energy stored in a spring is elastic potential energy. The formula for calculating the elastic potential energy is expressed as
elastic potential energy = 1/2kx^2
where
k represents spring constant
x represents the distance through which the spring was compressed
From the information given,
k = 150 N/m
x = 2cm
we would convert 2cm to m
recall, 100cm = 1 m
2 cm = 2/100 = 0.02 m
By substituting these values into the formula,
elastic potential energy = 1/2 x 150 x 0.02^2
elastic potential energy = 0.03 J
Energy can be transferred between objects or systems; momentum cannot be transferred and is only gained or lost from an object or system.
In a collision when two or more objects collide, the momentum will be transferred between the objects involved in the collision. But the total momentum of a system will always be conserved. Thus the system will never lose or gain momentum.
Thus the given statement is false.
A rock is thrown upward with a velocity of 27 meters per second from the top of a 35 meter high cliff on the way back down. When will the Rick be 5 meters from ground level? Round your answer to two decimal places
Given data
*The given veloicty of the rock is u = 27 m/s
*The given height of the cliff is h = 35 m
*The given height of the Rick from the ground level is s = 5 m
*The value of the acceleration doue to gravity is g = 9.8 m/s^2
The formukla for the time taken by the Rick at 5 meters from the ground level is given as
[tex]s=h+ut+\frac{1}{2}at^2[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} 5=(35)+(27)(t)+\frac{1}{2}(9.8)t^2 \\ 4.9t^2-27t-30=0 \\ t=6.45\text{ s} \end{gathered}[/tex]Hence, the time taken by the Ric at 5 meters above the ground lel is t = 6.45 s
Answer:
6.45 s
Explanation:
df = final position = 5 m a = accel of gravity = -9.81 m/s^2
do = original position = 35 m vo = original velocity = 27m/s
df = do + vot + 1/2 at^2
5 = 35 + 27t - (1/2)9.81t^2
-4.905 t^2+ 27t +30 = 0
Use quadratic formula a = -4.905 b = 27 c = 30
to find t = 6.45 s
(Ignore the negative value found with the Quadratic Formula)
Which two substances are among the six most abundant elements in living things?
Answer:Oxygen. Oxygen is the most abundant element contained within living organisms, composing about 65% of the human body. ...
Carbon. ...
Hydrogen. ...
Nitrogen. ...
Sulfur. ...
Phosphorus.
Explanation:
after being struck by the bullet, the disk rotates at 4.00 rad/srad/s . what is the horizontal velocity of the bullet just before it strikes the disk?
The component of horizontal velocity of bullet is 8m/s for 4 radians per second.
Given - Rotation rate = 4 rad per sec.
This means 4 radians for one seconds . i.e. one seconds is equivalent to 60min.
To resolve the velocity following equation can be employed-
[tex]\beta =vt+\frac{\alpha t^2}{2}\\ \\\beta = rotation\\\\v= velocity\\\\t= time\\\\\alpha =acceleration[/tex]
Now substituting all values in this equation
4= 0+α/2
α=4 x 2 ⇒8m/s²
since the rotation is for one seconds so velocity = acceleration.
[tex]acceleration=\frac{dv}{dt}[/tex]
dt =1
so α=v=8m/s
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A wheel rolls without slipping. Which is the correct velocity vector for point p on the wheel?.
The velocity vector for the point P will be the resultant velocity. So, option (C) is correct.
What do we mean by plane of motion?Plane motion is the movement of an item when all of its pieces move in a straight line along a set plane. Two different types of plane motion are listed below:
1. Pure rotational motion: In this motion, the rigid body revolves around a fixed axis that is parallel to a fixed plane. In other words, with respect to an inertial frame of reference, the axis is stationary and does not move or change direction.
2. The overall plane motion: In this case, the motion can be characterized as a combination of pure translational motion in a plane that is fixed and pure rotational motion along an axis perpendicular to the plane.
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The acceleration due to gravity on Mimas a moon on Saturn, is 0.066m/s^2 . Starting from rest how much time does it take for an object to fall 10m on Mimas?
The equation to obtain the vertical distance cobered by the object is,
[tex]h=ut+\frac{1}{2}gt^2[/tex]The acceleration due to gravity on saturn is 0.066 m/s2.
Plug in the known values,
[tex]\begin{gathered} 10\text{ m=(0 m/s)t+}\frac{1}{2}(0.066m/s^2)t^2 \\ t^2=\frac{2(10\text{ m)}}{0.066m/s^2} \\ t=\sqrt[]{303.03s^2} \\ \approx17.4\text{ s} \end{gathered}[/tex]Thus, the time taken by object to fall is 17.4 s.
What was the tension in the cable when the craft was being lowered to the seafloor?.
Assuming that the "craft" refers to an early submersible craft, the tension in the cable, when it was being lowered to the seafloor, would be the tension when it was stationary minus the drag force.
Say, for example, the tension in the cable when an early submersible craft was 7000 N. When the craft was either lowered to or raised from the seafloor at a steady raid, the motion in through the water it experienced added a 1500 N drag force.
When it's being lowered, the tension in the cable would be the difference between the two forces = 7000 N - 1500 N = 5500 N.
When it's being raised, the tension in the cable would be the sum of the two forces = 7000 N + 1500 N = 8500 N.
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What causes a ship carrying heavy cargo to take more time to come to a stop than an identical ship carrying lighter cargo if both ships are traveling at the same speed?.
The greater momentum causes a ship carrying heavy cargo to take more time to come to a stop than an identical ship carrying lighter cargo if both ships are traveling at the same speed.
The amount of motion has momentum. If a thing is moving and has mass, it has momentum. If an object is stationary, it has no momentum. A body's motion is defined by its intensity as momentum. As the body's motion depends on both velocity and direction, momentum also depends on both. Momentum is a vector quantity. For instance, a baseball with a small mass thrown quickly can have the same momentum as a bowling ball with a big mass that is moving slowly. Another example is a big truck moving.
Mathematically,
p = mv
Momentum = Mass × Velocity
Its SI Unit is Kg.m.s⁻¹
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When a block of steel at 90 degrees celsius is placed in a bucket of water at 30 degrees celsius, what happens?.
When a block of steel at 90 degrees Celsius is placed in a pail of water at 30 degrees Celsius, there is a differential in temperature.
What is the formula for temperature change?Where T is the final temperature and Ti is the initial temperature, gives the change in temperature. Every substance has a unique specific heat that is measured in either K units depending on how T is expressed.
What causes changes in temperature?The balance between energy entering and leaving the planet's system determines the temperature of Earth. The Earth warms as incoming solar energy is absorbed by the Earth system. Earth does not warm when solar energy is reflected back into space.
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a certain planet has equatorial radius about 0.463 times that of the earth, and mass only 0.110 times that of the earth. calculate the free-fall acceleration due to gravity on this planet in units of gg (earth's gravitational acceleration).
Using the theories of gravitation, we got that 3.42×[tex]10^{11}[/tex]m/sec² is the free-fall acceleration due to gravity on a a certain planet has equatorial radius about 0.463 times that of the earth, and mass only 0.110 times that of the earth.
We know that acceleration due to gravity on the planet is given by
=Gm/r²
where G is the earth's gravitational constant, m is the mass of the planet and r is the radius of the planet
We are given that mass of the planet is 0.110 times that of the earth.
and radius of the planet is 0.463 times that of the earth.
We know that value of G is 6.67×[tex]10^{11}[/tex].
So putting the values, we get
Acceleration of planet=[6.67×[tex]10^{11}[/tex]×0.110 Mass of the earth]/(0.463)² radius of the earth
=>Acceleration of planet=[(6.67×0.110)× [tex]10^{11}[/tex]]/(0.463×0.463)
=>Acceleration of planet = (0.7337/0.2143)×[tex]10^{11}[/tex]
=>Acceleration of planet =3.42×[tex]10^{11}[/tex]m/sec²
Hence, for a certain planet has equatorial radius about 0.463 times that of the earth, and mass only 0.110 times that of the earth, the free-fall acceleration due to gravity on this planet is 3.42×[tex]10^{11}[/tex]m/sec².
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a collection of hydrogen atoms in the ground state is illuminated with ultraviolet light of wavelength 75.0 nm. find the kinetic energy of the emitted electrons.
The kinetic energy of the emitted electrons is 11.24 eV.
What is kinetic energy?The following is the physics definition of kinetic energy:
The amount of effort that a moving object may accomplish is measured by its kinetic energy.
Kinetic energy is a scalar quantity that can only be fully explained by its magnitude.
Given parameters:
Wavelength of ultraviolet light : λ = 75.0 nm.
Energy of the ultraviolet light: E = hc/λ = 1242/75.0 eV= 22.84 eV
Potential energy of a electron of hydrogen atoms in the ground state is -13.6 eV.
This energy of light supplies required potential energy to the emitted electron and kinetic energy of electron.
So, the kinetic energy of the emitted electrons = 22.84 eV - 13.6 eV = 11.24 eV.
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can some help me find the slope of the line / graph?
The given points are
(0.47, 0.4905)
(0.52, 0.6867)
(0.58, 0.8829)
(0.64, 1.0791)
The formula for calculating slope is expressed as
slope = (y2 - y1)/(x2 - x1)
where
y2 and y1 are final and initial coordinates of y
x2 and x1 are final and initial coordinates of x
Picking these points from the given points, we have
when x1 = 0.52, y1 = 0.6867
when x2 = 0.58, y2 = 0.8829
slope = (0.8829 - 0.6867)/(0.58 - 0.52) = 0.1962/0.06
slope = 3.27
We would plot the corresponding x and y values on the line. The graph is shown below
Which of the following accurately describes a property of an insulator?
a. An insulator will inhibit the flow of neutrons,
b. An insulator will inhibit the flow of electrons.
c. An insulator will allow the flow of neutrons.
d. An insulator will allow the flow of electrons.
A 40. 0-kg child stands at one end of a 40. 0-kg boat that is 4. 00 m in length. The boat is initially 3. 00 m from the pier. The child notices a turtle on a rock near the far end of the boat and proceeds to walk to that end to catch the turtle. Neglecting friction between the boat and the water, where is the child relative to the pier when he reaches the far end of the boat?.
When the boy reaches the far end of the boat, his position in relation to the pier is 61.5 m away.
Explain about the friction?The force produced when two surfaces slide against and touch one another is referred to as frictional force. There are a few things that affect the frictional force: The surface texture of these forces and the amount of force pressing them together have the biggest impact.
The imperfections on the two surfaces in contact, friction is produced. Small irregularities can be found on even the smoothest surfaces, and when two surfaces interact with one another, they cause friction.
Two surfaces interacting produces the common force known as friction. This interaction raises the heat energy of the two surfaces as they slide against one another (the temperature goes up).
Boat mass M = 40 kg
The child weighs 40kg.
3 meters separate the boat's near end from the pier.
Boat length is 4 meters.
= 40 *(3/2) + 40 *3/ 40+ 40
= 60 +120/ 80
=61.5 meter
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Dominic made the table below to organize his notes about mixtures. A 1-column table. The first column labeled properties of mixtures has entries has no set composition, must have more than one state of matter, must have more than one substance. What mistake did Dominic make? The title should read “Properties of Solutions” because some mixtures do not have all of the properties listed. There is a definite recipe to make each mixture, so the composition of a mixture is set. Although it is possible to have more than one state, it is also possible to have only one state. A single substance can be used to make a mixture if the substance is composed of more than one element. Mark this and return
The mistake that Dominic made is that C. Although it is possible to have more than one state, it is also possible to have only one state
What exactly is a mixture?A mixture in chemistry is a material composed of two or more simpler components that are not chemically linked.
Individual substances retain their properties in a mixture, but their properties may change if they form a compound; when mixed, individual substances retain their properties in a mixture, but their properties may change if they form a compound.
When matter is mixed, such as with clouds, it can take on characteristics from various states. As a result, while it is possible to have more than one state, it is also possible to have only one state.
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A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the outer rimmove in 2.0 s?1) 3.1 m12) 41 m3) 90 m4) 180 m
Given,
The diameter of the wheel, d=26 cm=0.26 m
Therefore the radius of the wheel, r=d/2=0.13m
Time period, t=2.0 s
Frequency of the revolution, f=1500 rpm
1 relovution=2π radian.
Therefore the angular velocity is calculated as,
[tex]\omega=\frac{1500\times2\pi}{60}=157.1\text{ rad/s}[/tex]The angular velocity and angular displacement are related as,
[tex]\omega=\frac{\theta}{t}[/tex]On rearranging the above equation and substituting the known values,
[tex]\theta=\omega t=157.1\times2.0=314.2\text{ rad}[/tex]We can calculate how far the rim has moved by using the following relationship,
[tex]s=r\theta[/tex]Where 's' is the distance of the movement of the rim,
On substituting the known values in the above equation,
[tex]s=0.13\times314.2=40.8\text{ m}\approx41\text{ m}[/tex]Therefore the correct answer is option 2, 41 m
momentum problems practice class
The answers to the momentum questions with given velocity and mass attached as an image are as follows:
70,000kgm/s35,000kgm/s2m/s5kg40,000kgm/s28.57m/sWhat is momentum in physics?Momentum is the tendency of a body to maintain its inertial motion. It is the product of a body's mass and velocity, or the vector sum of the products of its masses and velocities.
Momentum = mass × velocity
According to the questions asked in the attached image, a tractor-trailer truck has a velocity of 35m/s. The momentum at different masses can be calculated as follows:
Truck of 2000kg, momentum = 2000 × 35 = 70,000kgm/s. Car of 1000kg, momentum = 1000 × 35 = 35,000kgm/sVelocity of a bowling ball: 16kgm/s ÷ 8kg = 2m/smass of beach ball: 0.25kgm/s ÷ 0.5m/s = 5kgmomentum of a truck: 4000kg × 10m/s = 40,000kgm/svelocity of a car: 40,000kgm/s ÷ 1,400kg = 28.57m/sThe 4kilogram ball rolling along the same path at speed of 1m/s will take more force to stop in 10s than the 8kg ball traveling at a speed of 0.2m/s because the former has more momentum.Learn more about momentum at: https://brainly.com/question/24030570
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A current of 11.37 A passes through a wire. How many electrons pass through the wire in 18.19 seconds ?
Explanation
An Ampere is in the SI base unit of electric current equal to one coulomb per second.
[tex]\text{ 1 Ampere=}\frac{1\text{ C}}{s}[/tex]and remember that the charge of an electron is
[tex]Q_e=-1.6*10^{-19\text{ }}C[/tex]Step 1
a) let
[tex]\begin{gathered} I=11.37\text{ Amperes} \\ I=11.37\text{ A}*(\frac{\frac{1C}{s}}{A})=11.37\frac{C}{s} \\ also \\ time\text{ =}18.9\text{ s} \end{gathered}[/tex]so
[tex]\begin{gathered} I=\frac{Q}{time} \\ replace \\ 11.37A=\frac{Q}{18.19} \\ multiply\text{ both sides by 18.19} \\ 11.37A*18.19=\frac{Q}{18.19}*18.19 \\ 206.8206\text{ C}=Q \end{gathered}[/tex]b) now , to find the number o f electrons , divide the total a}charge by the charge of an electron
[tex]Number\text{ of electrons=}\frac{206.8206C}{\lvert{-1.6*10^{-19\text{ }}C}\rvert}=1.29*10^{21}\text{ electrons}[/tex]therefore, the answer is
[tex]\begin{equation*} =1.29*10^{21}\text{ electrons} \end{equation*}[/tex]I hope this helps you
What is the wavelength of the wave in the string
The standing wave in the figure has 4 nodes and 3 antinodes.
The wavelength of a standing wave is given by,
[tex]\lambda=\frac{2}{n}L[/tex]Where n=number of nodes-1
From the figure n=3
Therefore the wavelength is,
[tex]\lambda=\frac{2}{3}L[/tex]Therefore the wavelength of the stationary wave produced in the given string of length L is (2/3)L.
what happens to the brightness of light emitted by a light bulb when the current flowing through it increases?
A wide range of applied voltages will allow it to function; as the voltage rises, the current rises as well, making the light bulb brighter.
When the current rises, what happens to the bulb's brightness?The quantity of electrons passing through the circuit each second determines the current that runs across it. When employing batteries, raising voltage also causes the circuit's current to grow. When the brightness of the bulb rises, the current is seen to rise.
What takes place when there is current?When electric current runs, electrons pass through a conductor. All substances restrict the flow of electric current to some degree. Resistance is the name given to this quality.
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A 6.25-gram bullet travelling at 365 m/s strikes and enters a 4.50-kg crate. The crate slides 0.15 m along a wood floor until it comes to rest.1. Find the friction force between the crate and the floor.
In order to determine the friction force, proceed as follow:
Take into account that total momentum of the system must conserve, then, you have:
m*v = (m + M)v'
where,
m: mass of the bullet = 6.25g = 0.00625kg
v: initial speed of the bullet = 365m/s
M: mass of the crate = 4.50kg
v': speed of both crate and bullet after the impact = ?
Solve the equation above for v', replace tha values of the other parameters and simplify:
[tex]\begin{gathered} v^{\prime}=\frac{mv}{m+M} \\ v^{\prime}=\frac{(0.00625kg)(365\frac{m}{s})}{0.00625\operatorname{kg}+4.50\operatorname{kg}} \\ v^{\prime}\approx0.506\frac{m}{s} \end{gathered}[/tex]Now, consider that the work done by the friction force is given by:
W = Fr*d
where,
Fr: friction force = ?
d: distance = 0.15m
Furthermore, the work done is equal to:
W = 1/2*(m+M)v'^2 that is, the change in kinetic energy is equal to the work
Then, you can equal the previous expressions for W, solve for Fr, replace and simplify:
[tex]\begin{gathered} F_rd=\frac{1}{2}(m+M)v^{\prime}^2 \\ F_r=\frac{1}{2}\frac{(m+M)v^{\prime2}}{d} \\ F_r=\frac{1}{2}\frac{(0.00625kg+4.50kg)(0.506\frac{m}{s})^2}{0.15m} \\ F_r\approx3.846N \end{gathered}[/tex]Now, take into account that the friction force can be written as follow:
Fr = μN = μ(m+M)g
where,
μ: coefficient of kinetic friction between crate and floor
g: gravitational acceleration constant = 9.8m/s^2
Solve the equatio above for μ, replace the values of the other parameters and simplify:
[tex]\begin{gathered} \mu=\frac{F_r}{(m+M)g} \\ \mu=\frac{3.846N}{(0.00625kg+4.50kg)(9.8\frac{m}{s^2})} \\ \mu\approx0.087 \end{gathered}[/tex]Hence, the coefficient of kinetic friction is approximately 0.087
A car tyre has a constant volume. Why does the pressure of the air in the tyre increase when its
temperature increases?
A) The air molecules hit each other less often.
B) The air molecules hit the inside of the tyre less often.
C) The average speed of the air molecules in the tyre is greater.
D) There are more air molecules in the tyre
Answer:
C) The average speed of the air molecules in the tyre is greater.
Explanation:
As temperature increases the speed of the molecule increases too.
Astronomers have measured light from stars in galaxies that
are billions of years old. Which of the following must be true
about energy for this to be possible?
When stars emit energy in the form of light it travels to Earth faster
than other places in the Universe.
Energy in the form of light can only travel toward objects.
When energy in the form of light is redshifted it is no longer
measurable.
Energy in the form of light travels across space and cannot be
destroyed
The statement that is true about energy is that "energy in the form of light travels across space and cannot be destroyed" Option D.
What is energy?We know that in physics, energy is generally defined as the ability to do work. There are several kinds of energy that are in existence and we know that light energy is only one of the kinds of energy.
Energy in the form of light is produced by stars and these stars have been in existence for several billion years and they are still able to produce light that can be visible to the astronomers that study the outer space.
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An organ pipe closed at one end and open at the other has a length of 1.8 m.
Given,
The length of the pipe, L=1.8 m
Speed of the sound, v=340 m/s
To form the standing wave with the longest wavelength, the number of nodes of the thus formed standing wave should be equal to 1.
The wavelength of the standing wave created in a closed-end pipe is given by,
[tex]\lambda=\frac{4}{1}L[/tex]On substituting the known values,
[tex]\begin{gathered} \lambda=\frac{4}{1}\times1.8 \\ =7.2\text{ m} \end{gathered}[/tex]Thus the longest possible wavelength is 7.2 m
The frequency of this standing wave is given by,
[tex]f=\frac{v}{\lambda}[/tex]On substituting the known values,
[tex]\begin{gathered} f=\frac{340}{7.2} \\ =47.22\text{ Hz} \end{gathered}[/tex]Thus the frequency of this standing wave is 47.22 Hz.
if the uncertainty in the position of a wave packet representing the state of a quantumsystem particle is equal to its de broglie wavelength, how does the uncertainty in momentum compare with the value of the momentum of the particle?
The uncertainty of momentum compared to the value of the momentum of the particle is Δp ≈ p/2π
In 1924 Louis de Broglie proposed the hypothesis that a moving particle having momentum p could behave as a wave. It is characterized by the presence of a wavelength known as the wavelength of a particle.
The uncertainty in a position is:
ΔxΔp ≈ h
If Δx = λ, the above equity on become as
ΔxΔp ≈ h
λΔp ≈ h
λΔp ≈ h/2π
Δp ≈ h/2πλ
Δp ≈ (h/λ)/2π
Δp ≈ p/2π
With:
p is momentum
h is Planck's constant
λ is the wavelength
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