For a mass m1 on the frictionless table, the speed m1 must rotate a with radius r if m2 is to remain hanging at rest is mathematically given as
[tex]v=\sqrt{m1/m2*xg}[/tex]
What speed must m1 rotate in a circle of radius r if m2 is to remain hanging at rest?Generally, the equation for the Force is mathematically given as
Fc=Fw
Therefore
[tex]\frac{m1v1}{x}=m2g[/tex]
[tex]v=\sqrt{m1/m2*xg}[/tex]
In conclusion, if m2 is to remain hanging at rest the speed of ratio of m1 is calcuylated using
[tex]v=\sqrt{m1/m2*xg}[/tex]
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The value of the velocity for the mass m₁ on the frictionless table will be [tex]\rm v = \sqrt{\frac{m_1}{m_2 xg} }[/tex]. Velocity is a time-based component. Its unit is m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity.
The given data in the problem is
m is the mass
g is the acceleration of free fall =10m/sec²
v is the velocity
From the balancing equation of force the centripetal force is equal to the weight;
[tex]\rm F_c= m_2 g \\\\ \rm \frac{m_1v_1^2}{x} = m_2 g \\\\ v= \sqrt{\frac{m_1}{m_2xg} } \\\\[/tex]
Hence the value of the velocity for the mass m₁ on the frictionless table will be [tex]\rm v = \sqrt{\frac{m_1}{m_2 xg} }[/tex].
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please hurry I will be forever grateful <3
List some advantages and disadvantages of series and parallel circuits.
Advandages:
1. Every unit that is connected in a parallel circuit gets equal amount of voltage.
2. It becomes easy to connect or disconnect a new element without affecting the working of other elements.
3. If any fault happened to the circuit, then also the current is able to pass through the circuit through different paths.
Disadvantages:
1. It requires the use of lot of wires.
2. We cannot increase or multiply the voltage in a parallel circuit.
3. Parallel connection fails at the time when it is required to pass exactly same amount of current through the units.
Diffraction explains
Diffraction explains
being able to hear sounds from outside a room throughout the whole room
creating images to adjust for eye problems
allow for the formation of rainbows
transmit images over long distances
An example of diffraction is being able to hear sounds from outside a room throughout the whole room.
What is diffraction?The term diffraction has to do with the bending of waves around an obstacle which causes the waves to spread out as they emerge on the other side.
One typical example of diffraction is being able to hear sounds from outside a room throughout the whole room.
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Cars enter a car wash at a mean rate of 33 cars per half an hour. What is the probability that, in any hour, exactly 22 cars will enter the car wash? round your answer to four decimal places
Answer:Cars enter a car wash at a mean rate of 4 cars per half an hour.
Explanation:
The probability that, in any hour, exactly 22 cars will enter the car wash will be 0.0920.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The mean rate of car is,[tex]\rm \lambda = 66 \ car/hour[/tex]
[tex]P(x=K) = \frac{8^k e^{-8}}{k\!}\\\\P(x=22) = \frac{66^{22} e^{-22}}{22\!}\\\\ P(x=22)=\frac{0.000000000000691\times 1.07\times 10^{40}}{22} \\\\\ P(x=22)=0[/tex]
Hence the probability that, in any hour, exactly 22 cars will enter the car wash will be 0
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Is distance a vector quantity
Explanation:
Nope, displacement is a vector quantity, whereas distance is the scalar (magnitude) of the total displacement.
Hope this clears things up :))
Velocity of an object of mass 5 kg increases from 3 m/s to 7 m/s on applying a force continuously for 2 s. Find out the force applied. If the duration for which force acts is extended to 5 s, what will be the velocity of the object then?
Answer:
Force=10N
Velocity=13m/s
Explanation:
Given,
Mass = 5kg
initial velocity=3m/s
Final velocity=7m/s
Time=2s
Now acceleration= v-u/t
=7-3/2
=4/2
=2m/s²
So, acceleration=2m/s²
Now,
F=ma
=5*2
=10N
what 1columb=?
please help
Explanation:
it's a unit used to measure charge (C)
1C=1000millicoulombs
1millicoulomb=1000microcoulumbs
Answer:
1 column - 3 x 10⁹ start columb
= 1 / 10 e mu
column is a bigger unit so in practice the smaller unit micro column is also used the smaller unit of charge
1 Milli column - 10-³
1 micro column 10-⁶
COLUMB LAW-the force of attraction or illusion between the two point charge is directly proportional to the product of the magnitude and inversely proportional to the square of distance between them the direction of force along line joining the two charge
hope it's helpful
where is A what is the answer?
Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures? (1 point)
Atoms that are attracted to each other because the bonds that form between them can support the creation of the structure.
Atoms that are attracted to each other because they will mix together to form a mixture with a different structure.
Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure.
Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
The type of pure substances that can create elaborate structures is :
( D ) Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
What is an Elaborate structure ?An elaborate structure is a complex structure formed by the combination of different unrelated parts. Atoms that are un attracted to each other are made of different parts therefore when they come together they will lay on each other, forming an elaborate structure which is complex in nature.
Hence we can conclude that the type of pure substance that can create elaborate structures is Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
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Which Tesla would be faster?
(A) Stock 2022 Tesla Roadster
(B) Tesla Model S PLAID with space X package
Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its rightmost point. what is the period of the pendulum
The time period of the simple pendulum is 2.4 seconds.
Given the data in the question;
Time taken to swing from leftmost point to rightmost point; [tex]t = 1.2s[/tex]Period of the pendulum; [tex]T = \ ?[/tex]What is Period?Period is the time needed for a complete cycle of vibration to pass a given point.
Period of a pendulum is the of time needed for it to complete one full back-and-forth motion. It is the time required to for the pendulum to swing from leftmost point to rightmost point and back to leftmost point.
Now, if it took the pendulum [tex]1.2s[/tex] to swing from leftmost point to rightmost point, it will also take the pendulum [tex]1.2s[/tex] to swing back to its original position( leftmost point )
Hence,
[tex]T[/tex] = time taken to swing from leftmost to rightmost + time taken to swing from rightmost point to leftmost point.
[tex]T = 1.2s + 1.2s\\\\T = 2.4s[/tex]
Therefore, the time period of the simple pendulum is 2.4 seconds.
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A bungee cord with a spring constant of 800 StartFraction N over m EndFraction stretches 6 meters at its greatest displacement. How much elastic potential energy does the bungee cord have?
Answer:
14,400
Explanation:
I guessed and I think it's right Soo
3
A car travels at an average speed of 60 km/h for 15 minutes.
How far does the car travel in 15 minutes?
D
900 km
C 240 km
4.0 km
A
В B 15 km
Answer:
(Option B)The car travels 15km in 15 minutes.
Explanation:
Notice that the speed is written using units of km/h and the time is written using units of minutes.
Convert the time interval to hours. Remember that 1 hour equals 60 minutes:
15 min = 15 min × [tex]\frac{1h}{60~min}=0.25h[/tex]
The distance d that a particle travels during a time t if it moves at an average speed v is given by the formula:
d = v · t
Replace v=60km/h and t=0.25h to find the distance traveled by car:
[tex]d=(60\frac{km}{h}) ~x~(0.25h)=15km[/tex]
Therefore, the car travels 15km in 15 minutes.
Hope this helps!
If you have any queries please ask.
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
A 80kg astronaut is training in human centrifuge to prepare for a launch. The astronaut uses the centrifuge to practice having a 3.16g force (3.16 times his own weight) on his back. The radius is 12m.
Attached is a picture of the question.
The answers on the model of the human centrifuge ready for the launch to each question of the statement are listed below:
a) A force of 2479.210 newtons is acting on the astronaut's back.
b) A net centripetal force of 2479.210 newtons is acting on the astronaut.
c) The centripetal acceleration of the astronaut is 30.990 meters per square second.
d) The astronaut has a linear speed of approximately 19.284 meters per second.
e) The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute).
How to apply Newton's laws to analyze a process in a human centrifuge trainingThe human centrifuge experiments a centripetal acceleration when it reaches a peak angular speed. In this question we must apply Newton's laws of motion and concepts of centripete and centrifugal forces to answer the questions. Now we proceed to answer the questions:
How much force is acting on the astronaut's back?By the third Newton's law the astronaut experiments a rection force (F), in newtons, which has the same magnitude to centrifugal force but opposed to that force. The magnitude of the force acting on the back of the astronaut is equal to:
[tex]F = 3.16\cdot (80\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]
[tex]F = 2479.210\,N[/tex]
A force of 2479.210 newtons is acting on the astronaut's back. [tex]\blacksquare[/tex]
What is the net centripetal force on the astronaut?By the second and third Newton's laws we know that the net centripetal force on the astronaut is equal to the magnitude of the force found in the previous question. Thus, a net centripetal force of 2479.210 newtons is acting on the astronaut. [tex]\blacksquare[/tex]
What is the astronaut's centripetal acceleration?The centripetal acceleration of the astronaut (a), in meters per square second, is found by dividing the result of the previous question by the mass of the astronaut (m), in kilograms:
[tex]a = \frac{F}{m}[/tex] (1)
If we know that F = 2479.210 newtons and m = 80 kilograms, then the centripetal acceleration of the astronaut is:
[tex]a = \frac{2479.210\,N}{80\,kg}[/tex]
[tex]a = 30.990\,\frac{m}{s^{2}}[/tex]
The centripetal acceleration of the astronaut is 30.990 meters per square second. [tex]\blacksquare[/tex]
What is the astronaut's linear speed?By definition of uniform circular motion, we have the following formula for the linear velocity of the astronaut (v):
[tex]v = \sqrt{a\cdot r}[/tex] (1)
Where r is the radius of the human centrifuge, in meters.
If we know that [tex]a = 30.990\,\frac{m}{s^{2}}[/tex] and [tex]r = 12\,m[/tex], then linear velocity of the astronaut is:
[tex]v = \sqrt{\left(30.990\,\frac{m}{s^{2}} \right)\cdot (12\,m)}[/tex]
v ≈ 19.284 m/s
The astronaut has a linear speed of approximately 19.284 meters per second. [tex]\blacksquare[/tex]
What is the astronaut's angular speed?The angular speed of the astronaut (ω), in radians per second, is found by the following kinematic relationship:
[tex]\omega = \frac{v}{R}[/tex] (1)
If we know that v ≈ 19.284 m/s and R = 12 m, then the angular speed is:
[tex]\omega = \frac{19.284\,\frac{m}{s} }{12\,m}[/tex]
ω = 1.607 rad/s (15.346 rev/m)
The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute). [tex]\blacksquare[/tex]
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Hello, I need help. Due right now
A 1383-kg car moving south at 11.2m / s is struck by a 1732-kg car moving east at 31.3m/s. After the collision, the cars are stuck together. How fast and in what direction do they move immediately after the collision? Define the system as the two cars.
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.
What state of matter (solid, liquid or gas) are most metals?
Answer:
solid
Explanation:
Solid is the most common state of matter in most metals at room temperature.
A 1000 kg rocket carrying 25 kg of fuel and oxygen rises at a velocity of 305 m/s. If all the mass of fuel and oxygen is burned to form gases of combustion, what is the downward velocity of these gases?
If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.
Conservation of linear momentumThe principle of conservation of linear momentum states that, the total momentum of an isolated system is constant.
The downward velocity of thes gases is calculated as follows;
v1(m1 + m2) = v2(m2)
305(1000 + 25) = v2(25)
312,625 = 25v2
v2 = 312,625/25
v2 = 12,505 m/s
Thus, If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.
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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
While on an ice-fishing trip, you find yourself holding a 10 kg fish but stuck in the middle of
the lake. The ice is perfectly smooth and you cannot walk or shuffle your feet towards the
shore. But because you understand Newton's Laws, you are still able to make it back to shore. A
Briefly explain what did you did. Why did it worked? (Please include directional words such as
up/down, towards/away from shore, left/right, etc.)
The forward force you exert on the fish and your backward action will allow you to reach the shore.
Newton's third law of motionNewton's third law of motion states that for every action, there is an equal and opposite reaction.
Fa = -Fb
Let's assume the fish is held in the hook, this will give you the opportunity to throw the fish forward while still holding it.
When the the fish is thrown forward, you will move backwards with an equal force based on Newton's third law. Your backward momentum towards the shore will help to maintain equal linear momentum between you and the fish.
Thus, this forward force of the fish and your backward action will allow you to reach the shore.
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Don’t actually comment on this unless you are willing to help!
Describe how we receive colors from the various object observed in our world. Discuss how we receive colors from objects... https://brainly.com/question/27082331
how can you say metre cube is a derived unit
Answer:
The newton (lowercase n!) is a derived unit because its definition consists of multiplication of three defined base units and nothing else. Its meaning is thus derived, not independently defined.
Calculate the average force with which the Sun pulls the Earth. It will help to know
that rsun_Earth = 9.4E9 m.
Answer:
7.9 x 10^21 pound-force
Explanation:
The average distance between the Earth and sun is 150 trillion meters, or 1.5 x 10^11 meters. The mass of the sun is 1.99 x 10^30 kilograms, while the Earth weighs in at 6.0 x 10^24 kilograms. The gravitational constant is 6.67 x 10^-11 meter^3 / (kilogram - second^2). So the Earth and sun pull on each other with a force equal to 3.52 x 10^22 newtons. The newton is a unit of force equal to a kilogram-meter/second^2. One newton is equal to 0.22 of the rarely used English unit called pound-force, so 3.52 x 10^22 newtons is 7.9 x 10^21 pound-force.
Why is it more common to see a lunar eclipse than a solar eclipse?.
Answer:
Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse.
amy bought 3 body lotions and 7 body spray for 80 jessica bought 6 body lotion and 3 body spray for 63.75 how much does one body spray cost
Answer:
Each body spray cost $ 21.25
Explanation:
Why was the light peppered moth able to flourish prior to the Industrial Revolution?
O by blending in with the trees
o the ability to fly
O an abundance of food
O fewer predators
Answer:
B. by blending in with the trees
Answer:
B. by blending in with the trees
Explanation:
The voltage across the primary winding is 6000 v. if the primary winding has 50 coils and the secondary winding has 20 coils, what is the secondary voltage? 120 v 2400 v 15,000 v 120,000 v
if the primary winding has 50 coils and the secondary winding has 20 coils then the secondary voltage will be equal to 2400V
What is voltage?Voltage is defined as the potential difference which apply a force on the charge to flow in the circuit.
This is a question on transformer. A transformer is a device used to step up or step down current and voltage. It consists of the primary windings and secondary windings. Each windings possesses both coil and amount of voltage across each coil.
The transformer formula is
[tex]\dfrac{V_S}{V_P}=\dfrac{N_S}{N_P}[/tex]
Where;
Vs is the voltage across the secondary coil
Vp is the voltage across the primary coil
Ns is the number of turn in the primary coil
Np is the number of turns in the primary coil.
According to the question,
Vs is unknown
Vp is 6000V
Ns is 20turns
Np is 50turns
Substituting the values in the formula given
[tex]\dfrac{V_S}{6000}=\dfrac{20}{50}[/tex]
Vs = 2400V
Therefore the secondary voltage is 2400V
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Answer:
2400
Explanation:
edge 2022
two cars have the same mass, but one is traveling 3 times as fast as the other. how much more kinetic energy does the faster car have
Answer:
9 times the KE
Explanation:
KE = 1/2 mv^2 now triple 'v'
KE = 1/2 m 9 v^2
When do things move faster? Day or night?
I believe most activity takes place during daylight hours.So the life move fast in day. If we talk about the -Sound. At night , the air is denser due to humidity (obviously nights are cooler). sound requires medium to travel and so DENSER the medium,FASTER the sound travels.
HELP
1. Which of the following is most useful in determining the kinetic energy of a 50 g battery- powered car
traveling a distance of 10 m?
A) Beaker
B) Voltmeter
C) Thermometer
D) Stopwatch
The stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
What is kinetic energy?Kinetic energy is the energy of a body possessed due to motion.
This means that for an object to possess kinetic energy, it must be in motion.
The kinetic energy is measured in Joules, which is a product of the mass of the substance and the time taken to travel a distance.
A stopwatch is an instrument used to measure time as one of the components of kinetic energy.
Therefore, the stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
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What happens to force when two charges move away?
If the distance between the two charges is doubled, the attraction or repulsion becomes weaker.
Explanation: