Answer: See below
Explanation:
[tex]\\ \mathrm{Given:} \\\mathrm{Mass \ of \ first \ car}$\left(m_{1}\right)=1383 \mathrm{~kg}$ \\ Velocity $\left(\overrightarrow{V_{1}}\right)=-11.2\ {\math} \mathrm{m} / \mathrm{s}$\\ Mass of second car -$\left(m_{2}\right)=1732 \mathrm{~kg}$\\ Velocity $\left(\vec{v}_{2}\right)=31.3 {\math} \mathrm{m} / \mathrm{s}$[/tex]
[tex]m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}=\left(m_{1}+m_{2}\right) \vec{v} \\1383(-11.2 {\math})+1732(31.3 {\math}) \\=(1383+1732) \vec{v} \\-15489.6 {\math}+54211.6 {\math}=3115 \vec{v} \\ \vec{v}=(17.4 {\math}-4.972 {\math}) \ \mathrm{m/s}[/tex]
[tex]\text { So magnitude } \vec{|v|} =\sqrt{(17.4)^{2}+(-4.972)^{2}} \\ =\sqrt{327.605} \\ =18.099 \mathrm \ {m/s} \\[/tex]
[tex]\text { Direction } \\\theta=\tan ^{-1}\left(\frac{-4.972}{17.4}\right) \\\theta=-15.945^{\circ}\end{gathered}[/tex]
Therefore, both cars move with a velocity of 18.099 m/s in the direction of 15.945° downward from the x-axis (east)
Answer:
Explanation:
Apply conservation of momentum in N-S direction:
Initial momentum: 1383*(-11.2) + 1732*(0) = -15490
Final momentum: (1383 + 1732) * Final N-S velocity = -15490
Final velocity = 1549/(1383+1732) = -4.97 m/s (-ve means South)
Repeat the same for E-W direction:
Initial momentum: 1383*(0) + 1732*(31.3) = 54211.6
Final momentum: (1383 + 1732) * Final E-W velocity = 54211.6
Final velocity = 54211.6/(1383+1732) = 17.4 m/s (+ve means East)
Combining, the final velocity = sqrt (-4.97^2 + 17.4^2) = 18.10 m/s
at direction of arctan(17.4/4.97) = 74 degree South of East.
If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (round your answer to the nearest second. ) correct answer9
The number of seconds that the dive will take if peregrine falcon dove at its maximum speed for half a mile is 9 seconds.
How to calculate the time?From the complete information, it was stated that the peregrine falcon can reach speed of up to 200 miles per hour.
Therefore, the number of seconds that the dice would take for half a mile will be calculated thus:
1 hour = 200 miles
3600 seconds = 200 miles
1 second will be: = (200/3600) = 0.056 miles
Therefore, the time will be:
200miles / 1 hour = 0.x
x = 0.0025 hours
Therefore, 0.0025 hours will be:
= 0.0025 × 3600
= 9 seconds.
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the red lines on this
national weather
service weather map
connect areas of equal
air pressure. what do
meteorologists call
these lines?
a. isobars
b. cold fronts
c. air masses
d. isotherms
What is the tension of the string if the cylinder has an acceleration of
In physics, the tension on a suspended object said to be equal to the weight of the object plus or minus the mass of the object times the acceleration acting on it.
~ ISS
A fighter plane is descending at 30 m/s. The pilot ejects, and the ejector seat accelerates him upwards at 120 m/s2 for 2 seconds. What is his velocity at the end of the 2 seconds?
Answer:
210m/s upwards
Explanation:
u= -30m /s
a= 120m/s^2
t=2s
v=u+at
=(-30)+(120x2)
=240-30
=210m/s
A particle is moving in a circle of radius 2 meters according to the relation (please refer to picture), where Vo is measured in radians and in seconds. The speed of the particle at = 4 seconds is
(A) 13 m/s
(B) 16 m/s
(C) 26 m/s
(D) 52 m/s)
(E) 338 m/s
Answer:
ω = dΘ / dt
dΘ / dt = d (3 t^2 + 2 t) / dt = 6 t + 2
At 4 sec ω = 6 * 4 + 2 = 26 / sec
V = ω * R = 26 / sec * 2 m = 52 m/s
The speed of sound in a guitar string is 430 m/s. for the musical note b, the frequency of the string when plucked is 246.94 hz.
Based on the speed and frequency, the wavelength of sound in the guitar is 1.74 m
What is the relationship between speed, frequency and wavelength of sound?The speed of sound in a medium is the distance in metres it covers per second.
The frequency of sound is the number of complete oscillations per second.
The wavelength of sound is the distance between adjacent identical parts of the sound.
The relationship between speed, frequency and wavelength of sound is given below:
wavelength = speed/frequencyThe wavelength of sound in the guitar will be:
wavelength = 430/246.94
wavelength = 1.74 m
Therefore, the wavelength of sound in the guitar is 1.74 m
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what direction can Earth's plates move
The movement of the plates creates three types of tectonic boundaries: convergent, where plates move into one another; divergent, where plates move apart; and transform, where plates move sideways in relation to each other. They move at a rate of one to two inches (three to five centimeters) per year.
If a food has 200 calories and 7 grams of protein, and each gram of protein is 4 calories, what percent of the serving comes from protein?
Answer: 13%
Explanation: The reason this is 13 is because you can eat carlories and you can also be an amazing person 200 calories and 7 grams
The water was used to power a generator, creating _______________ energy
Answer:
electric
please give brainliest
which change of state is shown in the photo
A) Liquid to solid
B) Liquid to gas
C) Gas to liquid
D) Solid and liquid
The change of state that is shown here is from solid to liquid. The correct option is D.
What is states of matter?A state of matter is one of the various forms that matter can take in physics. In everyday life, four states of matter are visible: solid, liquid, gas, and plasma.
In most environments, matter can exist in three distinct physical states: solid, liquid, and gas. In extreme environments, other states such as plasma, Bose-Einstein condensate, and neutron stars may exist.
Here in the given image, ice which is a solid is getting transformed into water i.e., liquid, so it can be considered that the phase is transforming from solid to liquid.
Thus, the correct option is D.
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a body has a mass 5 kg what does it mean
Answer:
If the mass of an object is 5kg it means that the mass is measured on the unit kilogram and this unit is contained 5times the given quantity of the object.
What resource is used to make fertilizers and other products such as toothpaste and insecticides?
Coal
Limestone
Phosphate
Silica
Answer:
Silica
Explanation:
The most commonly used abrasives are hydrated silica (softened silica), calcium carbonate (also known as chalk), and sodium bicarbonate (baking soda).
If an ocean wave passes a stationary point every 5 s and has a velocity of 10 m/s, what is the wavelength of the wave
Answer:
As Per Provided Information
Velocity of wave v is 10m/s
These ocean wave passes a stationary point every 5 s ( It's time period)
First we calculate the frequency of ocean wave .
Using Formulae
[tex] \blue{\boxed{\bf \: \nu = \cfrac{1}{v}}}[/tex]
here
v is the velocity of wave .
[tex]\sf\longrightarrow \nu \: = \cfrac{1}{10} \\ \\ \\ \sf\longrightarrow \nu \: = 0.1Hz[/tex]
Now calculating the wavelength of the wave .
Using Formulae
[tex] \boxed{ \bf \lambda = \cfrac{v}{ \nu}}[/tex]
Substituting the value and we obtain
[tex] \sf \longrightarrow \lambda \: = \cfrac{10}{0.1} \\ \\ \\ \sf \longrightarrow \lambda \: = \cancel\cfrac{10}{0.1} \\ \\ \\ \sf \longrightarrow \lambda \: =100m[/tex]
Therefore,
Wavelength of the wave is 100 metres.A thin rod of length d on a frictionless surface is pivoted about one end
The magnitude of the angular momentum of the rod immediately after the collision is given as (pf + pi) * d. (Option A).
What is Angular Momentum?
Angular Momentum may be defined or described as the vector quantity of the rotation of a body, which is arrived at by multiplying its moment of inertia by its angular velocity.
The formula for Angular Momentum is given as:
L = mvr; Where
L = Angular Momentum
m = mass
v = velocity; and
r = radius.
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[tex]\rm( P_f+P_i)d[/tex] is the magnitude of the rod's angular momentum immediately after the contact. Option A is correct.
What is the definition of Angular Momentum?Angular Momentum may be defined as the vector quantity of a body's rotation, which is calculated by multiplying its moment of inertia by its angular velocity.
The Angular Momentum formula is as follows:
[tex]\rm L=I\omega[/tex]
[tex]\rm L = mvr[/tex]
Where,
L is the angular momentum
m stands for mass.
v stands for velocity, and
r stands for radius.
Hence option A is correct.
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When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. Sometimes these wave
interact to make nodes and antinodes. What are these kinds of waves called? (1 point)
A.) Superposition waves
B.) Frequency waves
C.) Electromagnet waves
D.) Standing Waves
When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. These waves are standing waves (Option D).
What are Standing Waves?The Standing Waves are waves generated due to the vibrational frequency that produces reflected waves capable of interfering with the incident waves.
Standing Waves generates a pattern of waves that form a standing still, it is for that reason of the name.
The nodes and antinodes of the standing waves are found elsewhere in the medium where waves form.
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Answer:
Standing waves
Explanation:
Following a lecture on transverse and longitudinal waves, four students make venn diagrams to characterize these waves. which venn diagram is correct? a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string, created by a disturbance and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, all parts of the electromagnetic spectrum, vibrating string, medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and can travel through a vacuum. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, all parts of the electromagnetic spectrum and travel faster in a denser medium. the overlapping region has entries, created by a disturban
Venn diagram B is correct. A Venn diagram is a type of graph that uses circles to depict connections between objects or fixed groups of entities.
What Is a Venn Diagram and how does It Work?A Venn diagram is a diagram that uses circles to depict relationships between objects or finite groups of objects. Circles that overlap share characteristics, whereas circles that do not overlap do not.
A Venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular.
The circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium.
The overlapping region has entries, created by a disturbance, has speed, and travels through solids.
Hence Venn diagram B is correct
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What is the speed of a wave that has a frequency of 173 Hz and a wavelength of 2. 59 meters? Express your answer to the nearest whole number. M/s.
The speed of the wave will be v= 448.07 m/s
What is speed of the wave?The speed of the wave is defined as the distance traveled by the wave with respect to the time.
The frequency is defined as the number of cycles per seconds it is calculated in hertz
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
Now frequency = 173 hertz
wavelength = 2.59 m
The velocity will be given by the formula:
[tex]v=\lambda\times f[/tex]
[tex]v=173\times 2.59=488.07 \ \frac{m}{s}[/tex]
Thus the speed of the wave will be v= 448.07 m/s
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4. Point B on a wheel of radius 40 cm that is rotating at a constant 5. 0 revolutions
per second is located 0. 20 m from the axis of rotation. Pont A is just at the border
of the wheel. See the figure.
a) What is the angular velocity of the wheel in rad/s?
b) What point has a greater linear speed, A or B? Calculate both speeds and
compare the results.
c) What are the centripetal accelerations of points A and B due to the spin of the
wheel? Sketch the situation and represent the vectors linear velocity and
centripetal acceleration in points A and B. Assume the rotation of the wheel
to be clockwise.
Answer:
SD
Explanation:
A student looks at a white light source through spectroscope which views the light through many tiny slits. The student sees a rainbow of colors. Which of these is the best explanation for why the student sees many colors through the slits.
When the various colors in the spectrum of white light are separated, the student sees a rainbow of colors.
Spectrum of white lightWhite light is a spectrum of seven wavelengths namely; red, orange, violet, green, blue, indigo, yellow. When white ligt is passed through many tiny slits, these wavelengths become separated.
As a result of the separation of these seven wavelengths that compose white light, the student sees a rainbow of colors.
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What property of an object determines how much inertia it has.
Answer:
Inertia is that quantity which depends solely upon mass. The more mass, the more inertia. Momentum is another quantity in Physics which depends on both mass and speed.
Explanation:
If there were no external forces acting on the two pucks, their complex motion could be described as the combination of the uniform linear motion of the center of mass and a uniform circular motion of the pucks about the center of mass. Describe how well your results agree with this expectation, and explain any deviations that you observe from the predicted behavior
The absence of external forces will make the pucks move in the form of a uniform circular motion.
What is a circular motion?It should be noted that a circular motion simply means the movement of an object along the circumference of the circle.
In this case, the absence of external forces will make the pucks move in the form of a uniform circular motion.
If the friction is absent, the pucks will continue to move on the same path due to the first law of Newton and the law of conversation of energy. In this case,the results will match the predictions until there's loss in energy.
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Consider the following statements. A. Heat flows from an object in liquid state to an object in solid state; B. Heat flows from an object with higher thermal energy to one with lower thermal energy; C. Heat flows from an object at higher temperature to an object at lower temperature. Which statements are true? 1. A and B only 2. C only 3. None is true. 4. All are true. 5. A and C only 6. A only 7. B and C only 8. B only
The following statements regarding heat transfer are true:
Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperatureWhat is heat transfer?Heat transfer is the movement of heat from one body to another due to difference in temperature between the bodies and its surroundings.
Heat transfer occurs in every body which is made up of atoms and molecules.
However, heat can only be transferred from regions of higher temperature to lower temperature.
Therefore, the following statements regarding heat transfer are true:
Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperature.Learn more about heat transfer at: https://brainly.com/question/13433948
What is the equation for finding the amount of inertia in forces and motion? Explain how you solve that equation.
Answer:
Inertia = angular momentum / angular velocity
what is the weight of an object (on earth) that has a mass of 4.5kg
weight=
mass=
gravity=
formula:
substitution:
answer:
Answer:
weight-44.1 kg- mass-4.5kg gravity-9.8 formula-(see explanation)
Explanation:
force/weight on earth is = mass x gravitational field strength
What is the ultimate fate of an isolated white dwarf?.
Answer:
It will cool down and become a cold black dwarf.
Explanation:
The electron degeneracy pressure slowly overwhelms gravity, and the white dwarf evaporates. As gravity overwhelms the electron degeneracy pressure, it will explode as a nova.
5)A 0.50 kg hockey puck is at rest on ice when you hit it with a hockey stick, applying a force of 100 N for
0.10 seconds. The puck then slides across the ice, where the coefficient of kinetic friction is 0.20. After
sliding for 4 seconds, the puck collides with a 0.80 kg box of donuts. The puck immediately comes to rest
after the collision. How far will the box of donuts slide before coming to rest if the coefficient of friction
between the box and the ice is 0.30.
Answer:
F t = m Δv impulse delivered = change in momentum
Δv = 100 * .1 / .5 = 20 m/s original speed of puck
KE = 1/2 m v^2 = .5 * 20^2 / 2 = 100 J initial KE of puck
E = μ m g d energy lost by puck
Ff = μ m g = m a deceleration of puck due to friction
a = μ g = 9.8 * .2 = 1.96 m/s^2
v2 = a t + v1 = -1.96 * 4 + 20 = 12.2 m/s speed of puck on striking box
m v2 = M V conservation of momentum when puck strikes box
V = m v2 / M = 12.2 * .5 / .8 = 7.63 m/s speed of box after collision
KE = 1/2 M V^2 = .8 * 7.63^2 / 2 = 23.3 J KE of box after collision
KE = μ M g d energy lost by box in sliding distance d
d = 23.3 / (.3 * .8 * 9.8) = 9.91 m distance box slides
Today, you will use the Magnetic Fields Simulation to collect more reliable data about the two
variables that were tested on the eliminated cards: the number of wire coils on the electromagnet
and the distance between the car and launcher.
1. How does the number of wire coils on an electromagnet affect the strength of magnetic force?
Describe how you will set up tests with isolated variables in the Sim to answer this question.
What will you change?
What will you keep the same?
What will you measure?
The current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.
Strength of the magnetic force
The strength of the magnetic force depends on the number of the turns of the wire and the amount of current flowing in the wires in a given magnetic field.
The relationship between the magnetic force and the number of wire coils on an electromagnet is given as;
F = I x N
where;
I is the current in the wire N is the number of turnsThus, the current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.
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If you were standing on the edge of a thunderstorm as it begins to form, would the wind be blowing into the storm or out of it? why?
A hockey puck of mass 150 g is sliding south along the ice and slows at a rate of 1.2m/s2. What is the net force acting on the puck?
Answer: another force on puck?
Force is a vector quantity characterized by the rate of change of momentum.
Mathematically, it is the product of mass and acceleration.
F = m × a
=> F = (150/1000) × (-1.2)
=> F = -0.18 kg m/s²
=> F = -0.18 N
5. A mass attached to a spring oscillates and completes 50 full cycles in 30 s. What is the time period and frequency of this system?
Please show all of your work.
frequency:
⇒ oscillation / time taken
⇒ 50 / 30
⇒ 5 / 3
⇒ 1.667
≈ 1.7 Hz
period:
⇒ 1 / frequency
⇒ 1 / 1.7 ( when taken frequency as 5/3, period is 0.6 s )
⇒ 0.6 seconds
Frequency:-
[tex]\\ \rm\rightarrowtail \nu=\dfrac{50}{30}=\dfrac{5}{3}=1.67Hz[/tex]
Time period::
[tex]\\ \rm\rightarrowtail \dfrac{1}{\nu}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{1.67}[/tex]
[tex]\\ \rm\rightarrowtail 0.7s[/tex]