A pendulum consists of a mass m hanging at the bottom end of a massless rod of length l, which has a frictionless pivot at its top end. A mass m, moving as shown in the figure with velocity v impacts m and becomes embedded.
Answers
The common velocity of masses m and M after the impact is v = mv / sqrt(m (m + M)). A pendulum consists of a mass m hanging at the bottom end of a massless rod of length l, which has a frictionless pivot at its top end. A mass m, moving as shown in the figure with velocity v impacts m and becomes embedded.
The given figure shows the before and after impact of two masses m and M with velocities v and 0, respectively, where mass M is hanging with the help of a rod and performing simple harmonic motion. Therefore, the given system of masses is an example of an inelastic collision. As per the principle of conservation of linear momentum in physics, the momentum of a system is conserved if the net external force acting on it is zero. As the given system of masses has no external force acting on it, its momentum is conserved.
The initial momentum of the system can be calculated as:pi = mv + 0Since mass M is at rest, its initial momentum is zero. Therefore, the total initial momentum of the system ispi = mv. The final momentum of the system can be calculated as:pf = (m + M)V. Here, V is the common velocity of masses m and M after the impact, which can be calculated using the principle of conservation of mechanical energy.
As the given system of masses is an example of an inelastic collision, some energy is lost during the impact due to deformation of the masses. Therefore, the conservation of mechanical energy can be written as:
1/2 mv² = (1/2) (m + M) V²
Solving for V, we get:V² = mv² / (m + M)V = v * sqrt(m / (m + M))
Therefore, the final momentum of the system can be calculated as:pf = (m + M) v * sqrt(m / (m + M)) = v * sqrt(m (m + M))
Therefore, applying the principle of conservation of linear momentum, we have:pi = pfmv = v * sqrt(m (m + M))v = mv / sqrt(m (m + M))
Hence, the common velocity of masses m and M after the impact is v = mv / sqrt(m (m + M)).
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Related Questions
The scenario is repeated using a stiffer spring with a spring constant that has a greater value for k than that of the original spring. The stiffer spring is compressed the same distance x, and the same box is used. (a) Indicate how using a stiffer spring would affect the maximum height reached by the box, and explain why without mathematically deriving a relation for h.
Answers
A stiffer spring would cause the box to reach a greater maximum height. This is because a stiffer spring would have a greater spring constant k, which means it can store and release more energy when compressed and released.
A stiffer spring would cause the box to reach a greater maximum height. This is because a stiffer spring would have a greater spring constant k, which means it can store and release more energy when compressed and released. When the box is launched, the stiffer spring will transfer more energy to the box, which would result in a greater initial velocity and therefore a greater maximum height. This can be explained using the conservation of energy principle, which states that the potential energy stored in the compressed spring is converted into the kinetic energy of the box when it is launched. Therefore, a stiffer spring would result in a greater potential energy and therefore a greater maximum height for the box.
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The force of gravity acting on an object is the object's ______. A. acceleration B. mass C. weight D. matter
Answers
Answer:
d
Explanation:
the first bright fringe above and the first bright fringe below are equal distances from the central maximum. we are given that the two bright fringes are 4.1 mm apart. what is the height above the central maximum, y1 , of the first bright spot above?
Answers
the height above the central maximum, y1, of the first bright spot above is half the distance between the two bright fringes, which is 2.05 mm.
The distance between two bright fringes is given as 4.1 mm. Since the first bright fringe above and the first bright fringe below are equal distances from the central maximum, we can say that the distance between the central maximum and the first bright fringe above is half of 4.1 mm, which is 2.05 mm. Therefore, the height above the central maximum, y1, of the first bright spot above is 2.05 mm.
Your question is about finding the height above the central maximum, y1, of the first bright spot above, given that the two bright fringes are 4.1 mm apart.
The height above the central maximum, y1, of the first bright spot above is 2.05 mm.
Since the first bright fringe above and the first bright fringe below are equal distances from the central maximum, we can divide the total distance between them by 2 to find the height above the central maximum, y1, of the first bright spot above. So, y1 = (4.1 mm) / 2 = 2.05 mm.
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how does light travel?
plaza help
Answers
Answer:
your answer will be the letter B
A car, starting from rest, accelerates at 2.87m/s2m/s2 on a circular track with a 365mm diameter.
What is the elapsed time, in seconds, at which the centripetal acceleration of the car has the same magnitude as its tangential acceleration?
Answers
The elapsed time at which the centripetal acceleration of the car has the same magnitude as its tangential acceleration is approximately 0.2521 seconds.
To find the elapsed time at which the centripetal acceleration has the same magnitude as the tangential acceleration for a car on a circular track:
1. Centripetal acceleration = Tangential acceleration
2. Centripetal acceleration = v^2 / r
where v is the linear velocity and r is the radius of the circular track.
The diameter of the track is 365 mm, so the radius r = 365 mm / 2
= 182.5 mm
= 0.1825 m (converting to meters).
3. Tangential acceleration is given as 2.87 m/s².
4. Linear velocity, v = at
where a is the tangential acceleration and t is the elapsed time.
5. Setting centripetal acceleration equal to tangential acceleration:
(at)² / r = a
(2.87t)²/ 0.1825 = 2.87
Now, we need to solve for t:
(2.87t)² = 2.87 * 0.1825
t² = 0.1825 / 2.87
t² ≈ 0.06357
t ≈ √0.06357 ≈ 0.2521 seconds
So, the elapsed time at which the centripetal acceleration of the car has the same magnitude as its tangential acceleration is approximately 0.2521 seconds.
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What problems would we have if Pascal had failed to give the Pascal's law? Write some points.
Answers
Answer:
Pascal's law states that a change in pressure at any point in an enclosed fluid is transmitted equally throughout the fluid.
Explanation:
Applications of Pascal's law include
>The hidden standard of the water powered jack and pressure driven press.
>Power intensification in the slowing mechanism of most engine vehicles.
>Utilized in artesian wells, water pinnacles, and dams.
>Scuba jumpers must comprehend this rule. At a profundity of 10 meters submerged, pressure is double the environmental weight adrift level, and increments by around 100 kPa for each expansion of 10 m depth.[5]
>Generally Pascal's standard is applied to bound space (static flow), however because of the consistent flow process, Pascal's rule can be applied to the lift oil instrument (which can be represented as a U tube with pistons on either end).
Without Pascal's law, none of the above could be possible.
1. Which of the following is
a reason you should drink water everyday?
A. Water praites uitamins.
B. Water proldes nutrients for daily functions
c Water praides energy
D. Water helps ashion gons and the spinal
cord
.
Answers
Answer:
B
Explanation:
Water is essential to most bodily functions.
A 2300-kg car slows down at a rate of 3.0 m/s2 when approaching a stop sign. What is the magnitude of the net force causing it to slow down?
Answers
The magnitude of the net force causing the 2300kg car to slow down is 6900N
HOW TO CALCULATE FORCE:
The net force applied on a moving object can be calculated by multiplying the mass of the object by its acceleration. That is;Force (N) = mass (kg) × acceleration (m/s²)According to this question, a 2300-kg car slows down at a rate of 3.0 m/s2 when approaching a stop sign. The net force causing the car to stop can be calculated as follows:F = 2300kg × 3m/s²
F = 6900N
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A block of weight 5000 N is pushed up a slope by a force of 250 N. Assume there is no friction. Calculate:
a) the actual mechanical advantage
b) the velocity ratio
c) the length of the slope if the height of the slope is 10 m
Answers
The actual mechanical advantage, the velocity ratio, and the length of the slope if the height of the slope is mathematically given as
A=20VR=0.05x=20mWhat are the actual mechanical advantage, the velocity ratio, and the length of the slope if the height of the slope is 10 m?Question Parameters:
A block of weight 5000 N is pushed up a slope by a force of 250 N.
Generally, the equation for the actual mechanical advantage is mathematically given as
A=Fout/Fin
A=5000/250
A=20
b)
the velocity ratio is given by the distance moved by the effort divided by the distance moved by the load
Therefore
VR=250/5000
VR=0.05
c)
the length of the slope if the height of the slope is 10 m
Assume the slope is at an angle of 30
Hence
sin 30=10/x
x=20m
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Answer:
A) as you know AMA is equal to VR so the solution is 5000N/250N which is equal to 0.05with no units
3. A current of 6.0 amperes flows through a light bulb when the voltage
difference between the ends of the filament are 110 volts. What is the
resistance?
Answers
Answer:
18.3Ω
Explanation:
Resistance can be found using the formula:
Resistance = \(\frac{Voltage}{Current }\)
Voltage = 110 volts
Current = 6.0 amperes
∴ Resistance = \(\frac{110}{6}\)
= 18.3 Ω ( to nearest 3 significant figures)
A light spring with force constant 3.70 N/m is compressed by 8.64 cm as it is held between a 0.261-kg block on the left and a 0.522-kg block on the right, both resting on a horizontal surface. The spring exerts a force on each block, tending to push them apart. The blocks are simultaneously released from rest. Find the acceleration with which each block starts to move, given that the coefficient of kinetic friction between each block and the surface is the following. (Let the coordinate system be positive to the right and negative to the left. Be sure to include the sign to indicate the direction of the acceleration.) (a) μ = 0 heavier block lighter block (b) μ = 0.110 heavier block lighter block (c) μ = 0.480 heavier block lighter block m/s² m/s² m/s² m/s² m/s² m/s²
Answers
The lighter block will also accelerate to the right with an acceleration of -0.82 m/s².
(a) μ = 0
The heavier block will accelerate to the right with an acceleration of:
a = F / m = k x / m = (3.70 N/m) (0.0864 m) / 0.261 kg = 1.22 m/s²
The lighter block will also accelerate to the right with an acceleration of 1.22 m/s².
(b) μ = 0.110
The heavier block will accelerate to the right with an acceleration of:
a = F - μk / m = k x / m - μk / m = (3.70 N/m) (0.0864 m) / 0.261 kg - (0.110)(0.261 kg)(9.80 m/s²) = 0.68 m/s²
The lighter block will not accelerate because the force of friction is greater than the force of the spring.
(c) μ = 0.480
The heavier block will accelerate to the right with an acceleration of:
a = F - μk / m = k x / m - μk / m = (3.70 N/m)(0.0864 m) / 0.261 kg - (0.480)(0.261 kg) (9.80 m/s²) = -0.82 m/s²
Therefore, the lighter block will also accelerate to the right with an acceleration of -0.82 m/s².
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the time rate of change of momentum is equal to
Answers
Answer:
the time rate of change of momentum is equal
Answer:
the time rate of change of momentum is equal to the force acting on the particle.
Explanation:
hope this is helpful :)
An Olympic sprinter runs towards you while holding a green glow stick. Assuming you had sensitive enough equipment, the light from the glow stick will appear: Blueshifted Greenshifted As a blackbody O Redshifted
Answers
The light from the green glow stick held by the Olympic sprinter will appear redshifted.
The phenomenon of redshift occurs when the source of light is moving away from the observer. In this case, as the sprinter is running towards you, the distance between you and the glow stick is decreasing over time. This decrease in distance causes a Doppler shift in the frequency of the light emitted by the glow stick.
Since the light is redshifted, its wavelength increases and the frequency decreases compared to its original emitted frequency. As a result, the light that reaches your eyes appears more towards the red end of the visible spectrum.
It is important to note that the color of the glow stick itself remains the same, but due to the relative motion between the source (the sprinter) and the observer (you), the light undergoes a change in frequency and appears redshifted.
This phenomenon is similar to the redshift observed in cosmology, where the light from distant galaxies appears to be redshifted due to the expansion of the universe.
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The current in an RL circuit is zero at time t = 0 and increases to half its final value in 4s.(a) What is the time constant of this circuit?(b) If the total resistance is 7 , what is the self-inductance?
Answers
(a) To find the time constant of an RL circuit, we use the formula:
τ = L/R
where τ is the time constant, L is the self-inductance of the circuit, and R is the total resistance. We are given that the current in the circuit increases to half its final value in 4 seconds. This means that the time it takes for the current to reach 63.2% of its final value (which is halfway between zero and its final value) is also 4 seconds. Therefore, we can use this information to solve for the time constant:
0.632 = e^(-4/τ)
ln(0.632) = -4/τ
τ = -4/ln(0.632) = 6.33 seconds
Therefore, the time constant of this circuit is 6.33 seconds.
(b) Now that we know the time constant, we can use the formula for the time constant of an RL circuit to solve for the self-inductance:
τ = L/R
L = τ*R
L = 6.33*7
L = 44.31 henries
Therefore, the self-inductance of this circuit is 44.31 henries.
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What fraction of the entire electromagnetic spectrum is spanned by visible light?.
Answers
Only 0.0035% of entire electromagnetic spectrum is spanned by visible light.
We have Electromagnetic spectrum.
We have to determine what fraction of the entire electromagnetic spectrum is spanned by visible light.
What is the range of visible spectrum in Electromagnetic spectrum ?The visible wavelengths cover a range from approximately 0.4 to 0.7 µm.
According to the question -
The visible spectrum forms a very small part almost equal to 0.0035% of the electromagnetic spectrum. In the visible spectrum, the longest visible wavelength is Red and the shortest visible wavelength is Violet. Refer to the image attached. From the image it is clear that the visible spectrum forms a very thin part of the entire spectrum.
Hence, only 0.0035% of entire electromagnetic spectrum is spanned by visible light.
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PLEASE HELP
-Energy stored in chemicals and ______ when broken apart or rearranged.
-Examples: glow sticks, ___, food, fuel.
Energy
-has the ability to cause ___ or ___ change
-moving ___ and ___ are sources of energy.
Answers
Chemical bonds store energy that is released when broken, causing physical or chemical change. Sources include movement and fuel.
Chemical bonds store energy in molecules, which can be released when they are broken apart or rearranged. This energy can cause physical or chemical changes in the surroundings.
For example, glow sticks release energy in the form of light when the chemicals inside are mixed together.
Food contains stored energy that is released during digestion, providing fuel for the body's metabolic processes.
Fossil fuels such as gasoline store energy from the sun that was captured by plants millions of years ago.
Movement, such as the motion of wind or water, can also be a source of energy.
Overall, energy stored in chemicals plays a crucial role in many aspects of our daily lives.
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if a star was moved twice as far away, how bright would it appear?
Answers
If a star is moved twice as far away, it would appear one-fourth as bright.
The apparent brightness of a star depends on its distance and the inverse square law. According to the inverse square law, the brightness of an object decreases as the square of its distance increases. If a star is moved twice as far away, its distance from the observer would be doubled.
Applying the inverse square law, the brightness would decrease by a factor of four (2^2). This means the star would appear one-fourth as bright as before. The amount of light reaching the observer decreases as the distance increases, leading to a decrease in apparent brightness. Therefore, moving a star twice as far away reduces its apparent brightness to one-fourth of its original value.
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In your opinion what qualities of a teacher can help students learn better?
Answers
-caring
-has a sense of humor and can joke around with students when appropriate
-smart, and has an answer to each of the students individual questions
Answer:
→They are the followings :
The teacher should be friendly in nature. Treating the students like her/his friends. The teacher should be of it's class generation i.e. that not old teacher.The teacher should be cheerful.The teacher should be creative.This are some points that teacher should have mentally.
If a man pulls a box with a force of 90 N at an angle of 45
degrees, then what are the X and Y components of the force?
Answers
Answer:
See below
Explanation:
x component = 90 cos 45 = 63.6 N
y component = 90 sin 45 = 63.6 N
a joint that allows movements in many directions around a central point is known as a(n):
Answers
A joint that allows movements in many directions around a central point is known as a ball-and-socket joint.
This type of joint is formed by a ball-shaped surface of one bone fitting into a cup-like depression of another bone. The ball-and-socket joint allows movement in all directions, including flexion, extension, abduction, adduction, and rotation. Examples of ball-and-socket joints in the human body include the hip joint and the shoulder joint. The hip joint connects the thigh bone (femur) to the pelvic bone and is responsible for supporting the weight of the upper body and enabling a wide range of movements, such as walking, running, and jumping. The shoulder joint, also known as the glenohumeral joint, connects the upper arm bone (humerus) to the shoulder blade (scapula) and allows movements such as lifting the arm above the head, reaching behind the back, and rotating the arm.
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Astronomers call the vast, rotating cloud of vapor and dust from which the solar system formed:
A) The Milky Way B) The Kuiper Belt C) The Oort Cloud D) The Solar Nebula
Answers
Astronomers call the vast, rotating cloud of vapor and dust from which the solar system formed as D) The Solar Nebula.
The Solar Nebula is the rotating cloud of gas and dust that is believed to have formed the Sun and the solar system approximately 4.6 billion years ago. This theory is supported by observations of other star-forming regions in our galaxy, which exhibit similar conditions and structures. As the Solar Nebula collapsed under its own gravity, it began to spin faster and flatten into a disk shape, with the Sun forming at the center and the planets forming from the material in the disk.
The Solar Nebula theory is currently the most widely accepted explanation for the formation of the solar system. It states that a rotating cloud of gas and dust collapsed under its own gravity, eventually forming the Sun and the planets.
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2. describe how some rocks, when formed, end up preserving the direction of the earth's magnetic field.
Answers
Some rocks preserve the direction of the Earth's magnetic field when they form by recording the orientation of magnetic minerals in the rock as they solidify.
When rocks solidify, the magnetic minerals within the rock align with the direction of the Earth's magnetic field. This orientation is then locked into the rock and can be used to determine the direction of the Earth's magnetic field at the time the rock formed.
This process is known as magnetic polarity recording, and it provides a record of the Earth's magnetic field over time. By studying rocks from different time periods and locations, geologists can create a history of the Earth's magnetic field and how it has changed over millions of years. This information can also be used to study plate tectonics and the movement of continents.
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Two cars are traveling towards one another. The VW Bug has a mass of 187 kg and its initial velocity is -38 m/s. The compact car has a mass of 702 kg and an initial velocity of 23 m/s. They collide and stick together. How fast does the wreckage move immediately after the collision
Answers
Answer:
10.17 m/s in the direction the compact car was going (+)
Explanation:
Law of conservation of momentum states that total P before the collision must equal total momentum after the collision.
P = mv
solve for v, velocity of the two cars stuck together after the collision:
(187kg)(-38 m/s) + (702kg)(23 m/s) = (187 + 702 kg)v
momentum before = momentum after
-7106 kg·m/s + 16146 kg·m/s = 889 kg(v)
9040 kg·m/s = 889 kg(v)
v = 9040 kg·m/s / 889 kg = 10.17 m/s
how can we take advantage of waste materials
Answers
Answer:
we can incinerate waste materials and use the product as fuel rather than dumping them. It may produce carbon dioxide but we can create a machine that can convert carbon into energy.
What is the amount of charge on an electron?
Answers
The amount of charge on an electron is a fundamental concept in physics and chemistry. In short, the charge on an electron is a fundamental unit of electric charge in physics, and is equal to -1.602 x 10^-19 coulombs.
To understand the charge on an electron, it's important to first understand the concept of electric charge. Electric charge is a property of subatomic particles that determines their ability to interact with electromagnetic fields. Electric charge can be positive or negative.
Electrons are subatomic particles that have a negative charge. The charge of an electron is considered to be the basic unit of electric charge in physics. In other words, the charge on an electron is used as the reference point for all other charges. The charge of an electron is equal to -1.602 x 10^-19 coulombs.
This value was determined through experiments and is considered to be a fundamental constant of nature. The charge of an electron is an important value in many calculations and measurements in physics and chemistry, such as in determining the behavior of atoms and molecules in chemical reactions.
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Si observamos un incremento de temperatura en un termómetro de 24 oC, ¿a cuántos grados Fahrenheit corresponde dicho incremento? ¿Y si el incremento de temperatura fuese de 24 K?
Answers
Responder:
24 ° C = 75.2 ° F 24K = -416.47 ° FExplicación:
La fórmula se utiliza para convertir grados Celsius (° C) en grados Fahrenheit (° F).
x ° C = (y ° F - 32) × 5/9.
Convertir 24 ° C a Fahrenheit
24 = (y ° F - 32) × 5/9.
24 * 9 = 5 (y ° F-32)
216 = 5 años ° F-160
5 ° F = 216 + 160
5 ° F = 376
y ° F = 376/5
y ° F = 75.2
24 ° C = 75.2 ° F
Para convertir Kelvin a Fahrenheit, usaremos la expresión;
(K - 273.15) × 9/5 + 32
Dado K = 24kelvin
24K a ° F = (24− 273.15) × 9/5 + 32
= -249.15 (9/5) + 32
= -448.47 + 32
= -416.47 ° F
24K = = -416.47 ° F
Which information about an atom can a period number give you?(1 point)
how many energy levels it has
the number of valence electrons it has
how many bonds it will make
the ionic charge it forms
Answers
Answer:
How many energy levels it has
The period to which an atom belongs can tell how many energy levels it has.
The period table of an element are categorised into horizontal rows (periods) and vertical columns (groups).
Each elements falls under a particular row (i.e period) and column (i.e group).
The group number talks about the number of valence electron(s) in the outermost shell of the atom while the period number talks about the number of energy levels (or number of shells) the atom has.
This is the most reason why elements in the same group have the same number of valence electron(s) while elements in the same period have the same number of energy levels
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magnitude F have a
resultant of the
same magnitude F.
The angle between
the two forces is:
45 degree
120 degree
150 degree
180 degree
Answers
Answer:
120°
Explanation:
Given forces with magnitude F and F
Applying the parallelogram law of vector
Where resultant is given as :
R = √(A^2 + B^2 + 2ABCos Ф
WHERE A and B are two forces with angle Ф
F =√(F^2 + F^2 + 2F * F Cos Ф
Square both sides
F^2 = F^2 + F^2 + 2F^2 CosФ
F^2 - 2F^2 = 2F^2 CosФ
- F^2 = 2F^2 Cos Ф
Divide both sides by 2F^2
- 1 / 2 = CosФ
Cosine(theta) = - 1/2
Ф = cosi^-1 (-1/2)
Ф = 120°
The moon has approximately 1/6th the
gravitational pull that the earth has. If something
has a mass of 60kg on Earth, what is its mass on
the moon?
Answers
Answer:
m = 60 [kg] (mass on the moon)
Explanation:
We must remember that the mass is conserved, that is, it remains the same regardless of where it is located.
The only variation is the weight, which is different from the mass. Weight is determined by means of the product of mass by gravitational acceleration.
Therefore the mass of 60 [kg] on Earth will be the same mass on the moon.
a parallel-plate air capacitor is to store charge of magnitude 290 pc on each plate when the potential difference between the plates is 41.0 v . A.If the area of each plate is 6.80cm2, what is the separation between the plates? B.If the separation between the two plates is double the value calculated in part (a), what potential difference is required for the capacitor to store charge of magnitude 260pC on each plate?
Answers
The separation between two plates of parallel capacitor is 8.51 mm and when the separation is doubled the capacitance is reduced to halve.
Magnitude of Charge (Q) = 290 pc
Potential difference between plates (V) = 41.0 V
Let capacitance be = C
Using the relationship between charge and potential difference,
= Q = C × V
= C = Q / V
= C = 290 × 10⁻¹² / 41
= C = 7.07 × 10⁻¹² F
Now, we know that C = (ε × A) / d
Here, Area (A) = 6.80 cm² and
Distance = d
Thus, distance =
= d = (ε × A) / C
= d = (8.85 × 10⁻¹² × 6.80 × 10⁻⁴) / (7.07 × 10⁻¹²)
= d = 8.51 × 10⁻⁴ m
= d = 8.51 mm
Using Q = C × V,
= V = Q/C
If the separation between the two plates is doubled, then the capacitance is halve of the original value.
Thus, new V =
= 41 × 2
= 82 V
Hence, the new capacitance is 82 V when the distance of plates is doubles and the original separation between plates is 8.51 mm.
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