Answers
The ratio of the particle masses is \boxed{\frac{1}{3}} or \boxed3 .
Further explain:
We have to calculate the ratio of the particle masses.
As we know, in the elastic collision between two masses the momentum and the energy both are conserved.
Here, the collision between the masses the head-on it means head to head.
For head on head collision the masses will travel parallel but opposite in the direction.
We have two masses one is heavier and another is lighter.
The mass of massive or heavier particle is [tex]{m_1}[/tex].
The mass of the lighter particle is [tex]{m_2}[/tex].
From the conservation of linear momentum total initial momentum is equal to the total final momentum.
Therefore,
[tex]\boxed{\left( {{m_1}v - {m_2}v} \right) = \left( {{m_1}{v_1} + {m_2}{v_2}} \right)}[/tex]
Here, after the collision the massive particle comes into rest.
So, final expression will be,
[tex]\left( {{m_1}-{m_2}}\right)v={m_2}{v_2}[/tex] …… (1)
From the conservation of the energy,
Total kinetic energy before collision is equal to the total kinetic energy after collision.
Therefore,
[tex]\begin{aligned}\frac{1}{2}{m_1}{v^2}+\frac{1}{2}{m_2}{v^2}&=\frac{1}{2}{m_2}{\left( {{v_2}} \right)^2}\\{m_1}{v^2}+{m_2}{v^2}&={m_2}{\left( {{v_2}}\right)^2}\\\left( {{m_1}+{m_2}}\right){v^2}&={m_2}{\left( {{v_2}}\right)^2}\\\end{aligned}[/tex]
Simplify the above equation,
[tex]\begin{aligned}{m_2}{\left( {{v_2}} \right)^2}&=\frac{{\left( {{m_1}+{m_2}} \right){v^2}}}{{{m_2}}}\\{v_2}&=\left( {\sqrt {\frac{{\left( {{m_1}+{m_2}} \right)}}{{{m_2}}}} }\right)v\\\end{aligned}[/tex]
Substitute the value of [tex]{v_2}[/tex] in equation (1).
[tex]\begin{aligned}\left( {{m_1} - {m_2}} \right)v&={m_2}\left( {\sqrt {\frac{{\left( {{m_1} + {m_2}}\right)}}{{{m_2}}}} } \right)v \\\left( {{m_1} - {m_2}} \right)&=\sqrt {{m_2}\left( {{m_1} + {m_2}}\right)}\\{m_2}\left( {\frac{{{m_1}}}{{{m_2}}} - 1}\right)&={m_2}\sqrt {\left( {\frac{{{m_1}}}{{{m_2}}} + 1} \right)}\\\left( {\frac{{{m_1}}}{{{m_2}}}-1}\right)&=\sqrt {\left( {\frac{{{m_1}}}{{{m_2}}}+ 1}\right)}\\\end{aligned}[/tex]
Substitute [tex]x[/tex] for[tex]\dfrac{{{m_1}}}{{{m_2}}}[/tex] in above equation.
[tex]\left( {x - 1} \right)=\sqrt {\left( {x + 1} \right)}[/tex]
Squaring both the sides in above equation,
[tex]\begin{aligned}{\left( {x - 1} \right)^2}&=\left( {x + 1}\right)\\{x^2} - 2x + 1&=x + 1\\{x^2}-3x&=0\\\end{aligned}[/tex]
Taking [tex]x[/tex] as a common in the above equation.
[tex]x\left( {x - 3} \right)=0[/tex]
On solving above equation
We get,
[tex]x = 3[/tex]
Replace the value of [tex]x[/tex]
[tex]\boxed{\frac{{{m_1}}}{{{m_2}}} = 3}[/tex]
Or,
[tex]\boxed{\frac{{{m_2}}}{{{m_1}}} = \frac{1}{3}}[/tex]
Learn more:
1. Average kinetic energy: https://brainly.com/question/9078768
2. Broadcast wavelength of the radio station: https://brainly.com/question/9527365
3. Motion under force https://brainly.com/question/7031524.
Answer details:
Grade: Senior School
Subject: Physics
Chapter: Impulse and Momentum
Keywords:
Head on collision, two particles, equal speed, ratio of particle masses, momentum, conservation of momentum, energy, conservation of energy, masses, ratio.
Related Questions
what is an example of radiation? check all that apply
Answers
Examples of radiation:
... sunshine to tan your skin
... radio energy to bring you the news
... X-ray to check your teeth
... microwave to heat up the meatloaf
... flashlight to see where you're going
... RF energy to get an MRI of your knee
... infrared radiation from the campfire to warm your tootsies
... UHF radio waves to make a call or check Facebook with your smartphone
A person who climbs up something (e.g., a hill, a ladder, the stairs) from the ground gains potential energy. a person's weight (f = mg) is usually measured in pounds. for conversions, you may need to know that the weight of 1 pound is equal to 4.448 newtons. part a how many meters above the ground would a 240 lb person have to climb to gain 3 kilojoules (3000 joules) of potential energy?
Answers
We are given the following values:
weight w = 240 lb = 1,067.52 N
energy E = 3,000 J
The formula for potential energy is:
E = w h
where h is the height the person has to climb, therefore:
h = 3000 / 1067.52
h = 2.81 m
Therefore he has to climb 2.81 meters
To maintain a constant speed, the force provided by a car’s engine must equal the drag force plus the force of friction of the road (the rolling resistance). what are the drag forces at 50 km/h and 80 km/h for a toyota camry? (drag area is 0.67 m2.)
Answers
A = 0.67 m², the area perpendicular to the direction of motion
v = 50 km/h and 80 km/h, traveling speeds
The drag force is
F = (1/2) CρAv²
where
C = 0.4, the drag coefficient (a low number for efficiently designed Camry)
ρ = 1.225 kg/m³, density of air
Note that 1 km/h ≈ 0.2778 m/s.
Therefore,
50 km/h = 13.89 m/s
80 km/h = 22.224 m/s
At 50 km/h, the drag force is
F₅₀ = 0.5*0.4*(1.225 kg/m³)*(0.67 m²)*(13.89 m/s)² = 31.67 N
At 80 km/h, the drag force is
F₈₀ = 0.5*0.4*1.225*0.67*22.224² = 81.075 N
Answers:
31.7 N at 50 km/h
81.1 N at 80 km/h
give two ways in which the water vapour changes as it passes down the glass tube in the condenser
Answers
Water vapor in a condenser tube changes by losing heat energy and condensing from the gaseous to the liquid phase, while releasing latent heat of vaporization.
Explanation:As water vapor passes down the condenser tube, there are two primary changes that occur due to the process of condensation. First, the water vapor loses heat energy to the surrounding cooler surfaces of the condenser tube. This loss of energy decreases the kinetic energy of the water vapor molecules, causing them to slow down and become less spread out. Second, as the molecules lose energy, they begin to collect together due to the intermolecular forces between them, resulting in the transition from the gaseous phase to the liquid phase. Throughout this process, the latent heat of vaporization is released into the environment, which can be calculated using the formula Q = mLy, wherein 'Q' is the energy involved in the phase change, 'm' is the mass of the substance, and 'Ly' is the latent heat of vaporization.
Learn more about Condensation here:https://brainly.com/question/34705758
#SPJ3
What is the chemical name of SiF4
Answers
When landing after a spectacular somersault, a 40.0 kg gymnast decelerates by pushing straight down on the mat. calculate the force she must exert if her deceleration is 7 times the acceleration of gravity?
Answers
Final answer:
To calculate the force a 40.0-kg gymnast must exert to decelerate at 7 times the acceleration due to gravity, we use Newton's second law (F = ma) and find that she must exert approximately 2746.8 N.
Explanation:
Calculating the Force Exerted by a Gymnast
When a 40.0-kg gymnast lands and decelerates, she must exert a force to counteract the force of deceleration. To calculate the force she must exert if her deceleration is 7.00 times the acceleration due to gravity, we use Newton's second law of motion, which can be expressed as F = ma, where F is the force, m is the mass of the object, and a is the acceleration. First, we note that the acceleration due to gravity (g) is approximately 9.81 m/s². The deceleration she experiences would thus be 7 times 9.81 m/s², or approximately 68.67 m/s².
To calculate the total force, we multiply the gymnast's mass by the deceleration:
Force exerted (F) = Mass (m) × Deceleration (a)
F = 40.0 kg × 68.67 m/s²
F = 2746.8 N
Therefore, the gymnast must exert a force of approximately 2746.8 N by pushing down on the mat to achieve this deceleration.
What other professions does a fire sprinkler contractor work with? *?
Answers
- fire-related organizations: They collaborate with the local fire department and work under the supervision of an organization that ensures all protocols are followed, from the application of the permit to the installation and right down to the inspection and maintenance. Example of which is the National Fire Protection Association (NFPA) in the United States.
- building-code organizations: There are national and local building codes, and this includes fire prevention. Fire sprinkler contractors should also follow these standards.
- certified fire inspectors: These are people certified by the local fire department or an authorized organization, like the NFPA, to inspect the building before and after the installation of the fire sprinkler
- manufacturers and suppliers: Fire sprinkler contractors directly work with manufacturers or direct suppliers to meet their specific needs when it comes to quantity and other specifications and also to minimize the cost.
- engineers and specialized plumbers: These engineers do the hydraulic calculations, which means determining the amount of water required to efficiently control a fire through a certain medium, which in this case is the fire sprinkler. They closely work with specialized plumbers to take care of the piping designs, materials, and installation.
- insurance companies: Fire sprinkler contractors also work with insurance companies to cover the cost of damages in case accidents happen. The scope of the insurance varies per contract.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 15.5 m before hitting the ground. from what height was the rock thrown? use the value g = 9.800 m/s2 for the free-fall acceleration.
Answers
The initial height of the rock can be calculated using the principles of projectile motion. First, we find the time the rock was in the air by using the horizontal motion, and then apply this time to the vertical motion taking gravity into account.
Explanation:Using the principles of projectile motion, the objective is to find the initial height from which the rock was thrown. The first step on this process is to determine the time the rock was in the air. We know that the range (horizontal distance) d is given by the equation d=v*t*cos(θ), where v is the initial speed, t is the time the rock is in the air, and θ is the launch angle. Rearranging for time gives us t=d/(v*cos(θ)).
The next step is to apply this time to the vertical motion. The vertical motion is affected by gravity, and the displacement h is given by the equation h=vi*t - 0.5*g*t², where vi is the initial vertical speed, which is given by v*sin(θ), and g is the acceleration due to gravity. As the rock is hitting the ground, h will be negative. Substituting all the known values will give us the initial height the rock was thrown from.
Learn more about Projectile Motion here:https://brainly.com/question/29545516
#SPJ12
A projectile is launched with an initial velocity of 80 m/s at an angle of 30o above the horizontal. neglecting air resistance, what is horizontal component of the projectile's acceleration?
Answers
The horizontal component of the projectile's acceleration is zero.
What is a projectile?A projectile is an item on which gravity is the sole force operating. Projectiles come in a range of shapes and sizes.
A projectile is an item that is launched from its resting position. A projectile is an item that is hurled vertically upward.
A projectile's horizontal velocity is constant, which is downward. Each second, a projectile's vertical velocity varies by 9.8 meters per second.
A projectile's horizontal motion is independent of its vertical motion.
Hence the horizontal component of the projectile's acceleration is zero.
To learn more about the projectile refer to the link;
https://brainly.com/question/11422992
A car accelerates uniformly from rest to a speed of 56.8 km/h (15.8 m/s) in 10 s. find the distance the car travels during this time.
Answers
A train rolls past a stationary observer. To him, the train is moving at a speed of 23 m/s west, and a woman on the train is moving at a speed of 22.4 m/s west. How long does it take the woman to move 13 m relative to the train?
Answers
Distance woman wants to travel = 13m
To find how long she will take to move 13m relative to the train, take the distance she wants to travel divided by her velocity relative to the train.
(13m)/(0.6 m/s) = 21.6667 seconds or 21.7 seconds.
Therefore, it will take the woman 21.7 seconds to move 13m.
Answer:
21.7 seconds
Explanation:
At what point in the swing of the pendulum is the potential energy completely converted into Kinetic energy
Answers
64) Compare skeletal, smooth, and cardiac muscles as to their body location, microscopic anatomy, regulation of contraction, speed of contraction, and rhythmicity.
65) What is the effect of aging on skeletal muscles?
66) Discuss the role of the myosin heads in sliding filament theory.
Answers
64. SKELETAL MUSCLES
Body location: it is usually attached to the bone or to the skin.
Microscopic anatomy: it is made up of very long, cylindrical multinucleated cells which are striated.
Regulation of contraction: the nervous system controls the voluntary contraction of the skeletal muscles.
Speed of contraction: the speed of contraction ranges from slow to fast.
Rhythmicity: the skeletal muscle is arrhythmic.
SMOOTH MUSCLES
Body location: found in the wall of hollow visceral organs [not including those of the heart].
Microscopic anatomy: made up of single fusiform, uninucleated cells that are without striation.
Regulation of contraction: smooth muscles undergo involuntary contractions which are controlled by the nervous system and hormones.
Speed of contraction: very slow. it is the slowest of the three muscles.
Rhythmicity: rhythmic.
CARDIAC MUSCLES
Body location: located in the wall of the heart.
Microscopic anatomy: it is composed of branching chains of cells, that are uninucleated; they are striated and posses intercalated discs.
Regulation of contraction: Undergo involuntary contractions, which are controlled by nervous system, heart pacemarker and hormones.
Speed of contraction: slow.
Rhythmicity: rhythmic.
65. Aging brings about gradual loss in muscle functions. As one grows older, there are usually age related alterations in the skeletal muscle functions. The factors that affect the rate of muscle loss are sex and level of muscle activity. Loss of muscle mass also occurs as one grows older.
66. The sliding filament theory states that, during contraction the thin filaments slide past the thick filaments and the sacomere shortens.
During contraction, the myosin head attaches to the myosin binding site on the actin filament. Using energy from ATP, the myosin head move toward the center of the sacomere, attaching and detaching several times. As a result of this, the thin actin filament is pulled toward the center of the sacomere. This leads to the shorten of the muscle cells.
Which force causes send dunes? A. Rivers B. Ice C. Wind D. Gravity
Answers
Answer: C. Wind
Explanation:
An erosion is a phenomena in which a physical agent takes away along with it soil and deposit it to some other place.
Sand dune is a kind of wind erosion of the loose soil called as sand. It is typically seen in desert regions. The high speed wind currents blow away huge amount of soil.
A car speeds up from 5 m/s to 12 m/s in 20 seconds. What is the acceleration of the car?
Answers
Answer:
0.35 m/s^2 or 0.35 m/s squared
Explanation:
What is the wavelength of a radio photon from an "am" radio station that broadcasts at 1160 kilohertz?what is its energy?
Answers
f = 1160 kHz = 1160 x 10³ Hz
The velocity is c = 3 x 10⁸ m/s, the velocity of light (approximmately).
Calculate the wavelength, λ.
c = fλ
λ = c/f = (3 x 10⁸ m/s)/(1160 x 10³ 1/s) = 258.62 m
Answer: 258.6 m
Two ice skaters stand at rest in the center of an ice rink. when they push off against one another the 45-kg skater acquires a speed of 0.62 m/s. if the speed of the other skater is 0.89 m/s, what is this skater's mass?
Answers
Answer:
mass of other skater is 31.3 kg
Explanation:
Here since we know that two skaters push each other so if we consider two skaters as system then there is no external force on the system.
hence we can say that momentum of the system is conserved
so here we have
[tex]P_i = P_f[/tex]
now we can say that initially both skaters are at rest so initial total momentum is ZERO for both
now we have
[tex]0 = m_1v_{1i} + m_2v_{2i}[/tex]
[tex]0 = 45(0.62) + m_2(-0.89)[/tex]
[tex]m_2 = 31.3 kg[/tex]
Based on the information given, the mass of the other skater will be 31.3 kg.
How to calculate the mass.From the information given, ice skaters stand at rest in the center of an ice rink. when they push off against one another the 45-kg skater acquires a speed of 0.62 m/s and the speed of the other skater is 0.89 m/s.
Therefore, the mass of the skater will be:
0 = 45(0.62) + (-0.89)m
m = 31.3kg
In conclusion, the correct option is 31.3kg.
Learn more about mass on:
https://brainly.com/question/119474
Kristina works out seven days a week. Lately, she has been tired, and her body aches. If she is overtraining, which training principle should Kristina consider before continuing her program?
a. overload
b. recovery
c. transfer
d. variation
Answers
Answer: Option (b) is the correct answer.
Explanation:
As Kristina is over training, therefore, there is pain in her muscles because human body also requires rest in order to work or function properly.
That is why, gym trainers suggest to give one day off in a week for your workout sessions so that body muscles should recover.
Thus, we can conclude that if Kristina is over training, then recovery training principle should Kristina consider before continuing her program.
Answer:
B
Explanation:
Which of the following gives an atom's mass number? Question 1 options: a.number of neutrons b.number of neutrons + number of protons c.number of protons + number of electrons d.number of protons + number of neutrons + number of electrons Save
Answers
Two boys (same height) are standing on a bridge each boy throws a rock straight down into the river below. they throw the rock at the same time, but one rock hits the water before the other one. how is this possible? g
Answers
The speed of sound in air is 344 m/s at room temperature. the lowest frequency of a large organ pipe is 30 s−1 and the highest frequency of a piccolo is 1.5×104s−1. part a find the difference in wavelength between these two sounds. express your answer using two significant figures. λ = 11 m
Answers
The formula for calculating wavelength ʎ is:
ʎ = s / f
where ʎ is wavelength, s is speed of sound, f is frequency
ʎ (large organ pipe) = (344 m/s) / (30 s-1) = 11.47 m
ʎ (piccolo) = (344 m/s) / (1.5x10^4 s-1) = 0.023 m
So the difference is:
11.47 – 0.023 = 11.45 m
Answer:
11.45 m
The difference in wavelength between the lowest frequency of a large organ pipe and the highest frequency of a piccolo, with the speed of sound at 344 m/s, is approximately 11 m.
Explanation:The question asks to calculate the wavelength difference between the lowest frequency of a large organ pipe and the highest frequency of a piccolo, given the speed of sound in air at room temperature. The speed of sound in air at 21°C is typically around 344 m/s. The frequency for the organ pipe is 30 s⁻¹ (30 Hz), and for the piccolo, it's 1.5×10⁴ s⁻¹ (15,000 Hz). To find the wavelengths, we use the formula λ = v/f, where λ is the wavelength, v is the speed of sound, and f is the frequency. Thus, for the organ pipe, the wavelength is λ = 344 m/s / 30 s⁻¹ = 11.47 m, and for the piccolo, λ = 344 m/s / 1.5×10⁴ s⁻¹ = 0.0229 m. The difference in wavelength, to two significant figures, is about 11 m.
Learn more about wavelength difference here:https://brainly.com/question/7143261
#SPJ3
Which electron configuration represents the atom with the largest atomic radius?
a.1s1
b.1s22s2
c.1s22s1
d.1s22s22p1?
Answers
The electron configuration that represents the atom with the largest atomic radius among the given options is 1s22s22p1. This is due to the addition of an electron in a higher energy level, which increases the atomic radius.
Explanation:The electron configuration that represents the atom with the largest atomic radius would be 1s22s22p1. The atomic radius typically increases as you move down a group in the periodic table because more energy levels (shells) are being added. In the given options, 1s22s22p1 represents an atom with the largest number of energy levels. It also suggests that the atom has one more electron than 1s22s2 and that electron goes into the next higher energy level, making the atomic radius larger.The electron configuration that represents the atom with the largest atomic radius is option b. 1s22s2.The atomic radius increases as you move down a group and as you move from right to left across a period on the periodic table. So, the electron configuration with the highest energy level and the least number of electrons in the valence shell represents the atom with the largest atomic radius.In option b, 1s22s2, the atom has electrons in both the 1s and the 2s orbitals, and the 2s orbital is in a higher energy level compared to option c (which has fewer electrons) and option d (which has more electrons).
Learn more about Atomic Radius here:https://brainly.com/question/13607061
#SPJ2
mercury is 0.39 AU from the sun what is its distance from the sun in kilometers
Answers
Answer:The distance of Mercury from the Sun in kilometer is [tex]5.8344\times 10^7 km[/tex].
Explanation;
Distance between the Mercury and Sun = 0.39 AU
1 AU = [tex]1.496\times 10^8 km[/tex]
So, 0.39 AU = [tex]0.39\times 1.496\times 10^8 km=5.8344\times 10^7 km[/tex]
The distance of Mercury from the Sun in kilometer is [tex]5.8344\times 10^7 km[/tex].
the speedometer in a car does not measure the cars velocity because the velocity is a...
Answers
The speedometer in a car does not measure velocity because velocity is a vector quantity, including both speed and direction, and the speedometer only provides information about speed (magnitude). So, the correct option is A, velocity is a vector quantity that includes both speed and direction.
Let's go into more detail:
Velocity:
- Velocity is a vector quantity that includes both speed and direction.
- Speed is the magnitude of velocity, representing how fast an object is moving.
- Direction is a crucial component of velocity; it indicates the path an object is taking.
Speed:
- Speed is a scalar quantity, representing only the magnitude of motion, or how fast an object is moving.
- It does not include information about the direction of motion.
Speedometer in a Car:
- The speedometer in a car measures the instantaneous speed of the vehicle.
- It provides information about how fast the car is moving at a given moment.
- However, the speedometer does not provide any information about the direction in which the car is moving.
- Since velocity includes both speed and direction, and the speedometer only measures speed, it does not directly measure velocity.
Correct Answer (A):
- The correct option is (A) because velocity is indeed a vector quantity, having both magnitude (speed) and direction.
- The speedometer, by measuring speed alone, does not account for the directional component of velocity.
Complete Question: The speedometer in a car does not measure the car's velocity because velocity is a
(A) vector quantity and has a direction associated with it
(B) vector quantity and does not have a direction associated with it
(C) scalar quantity and has a direction associated with it
(D) scalar quantity and does not have a direction associated with it
If it requires 7.0 j of work to stretch a particular spring by 2.1 cm from its equilibrium length, how much more work will be required to stretch it an additional 3.5 cm ?
Answers
The de broglie wavelength of an electron is 8.7 Ã 10-11 m. the mass of an electron is 9.1 Ã 10-31 kg. the velocity of this electron is ________ m/s.
Answers
What type of conducting medium has the highest conductivity?
Answers
If a photon has a frequency of 5.20 x 10^14 hertz, what is the energy of the photon ?
Given : Planck's constant is 6.63 x 10^-34 joule-seconds.
Answers
E = hv, where v = the frequency and h = planck's constant.
So E = 5.20 x10^14 x 6.63 x 10^-34
= 3.45 x 10^-19 Joules
The energy of a photon with a frequency of 5.20 x 10^14 Hz is calculated using the equation E = hf, which results in an energy of 3.448 x 10^-19 joules.
Explanation:To calculate the energy of a photon with a specific frequency, we use the following equation:
E = hf
Here, E represents the energy of the photon in joules, h is Planck's constant, and f is the frequency of the photon given in hertz (Hz). With the values provided in the question, we get:
E = (6.63 × 10^-34 J·s) × (5.20 × 10^14 Hz)
Calculating the above expression leads to:
E = 3.448 × 10^-19 joules
Therefore, the energy of the photon with a frequency of 5.20 × 10^14 hertz is 3.448 × 10^-19 joules.
In a video game, a ball moving at 0.6 meter/second collides with a wall. After the collision, the velocity of the ball changed to -0.4 meter/second. The collision takes 0.2 seconds to occur. What’s the acceleration of the ball during the collision? Use .
Answers
where f=ma
Ma = m(v-u)/t
a = (v-u) /t
a= (-0.4-0.6)/0.2
a= -1/0.2 = -5ms-² (it's decelerating)
A Honda Civic Hybrid weighs about 3200 lb .
Part A
Calculate the weight of the car in newtons. (Note: 0.22 lb =1N).
Answers
(it is an infinite decimal)
Answer:
14545 .45 N
Explanation:
The weight of given car is 3200 lb.
0.22 lb = 1 N (Given)
[tex]1 = \frac{1}{0.22}N/lb[/tex]
Therefore, the weight of the car in N can be calculated as follows:
[tex]3200 lb =3200 lb\times \frac{1}{0.22}N/lb=14545 .45 N[/tex]