The minimum initial speed of the dart so that the combination makes a complete circular loop after the collision is 58.5 m/s.
Minimum speed for the object not fall out of the circle
The minimum speed if given by tension in the wire;
T + mg = ma
T + mg = m(v²)/R
tension must be zero for the object not fall
0 + mg = mv²/R
v = √(Rg)
Final speed of the two mass after collisionUse the principle of conservation of energy
K.Ef = K.Ei + P.E
¹/₂mvf² = ¹/₂mv² + mg(2R)
¹/₂vf² = ¹/₂v² + g(2R)
¹/₂vf² = ¹/₂(Rg) + g(2R)
vf² = Rg + 4Rg
vf² = 5Rg
vf = √(5Rg)
vf = √(5 x 2.8 x 9.8)
vf = 11.7 m/s
Initial speed of the dartApply principle of conservation of linear momentum for inelastic collision;
5v = vf(20 + 5)
5v = 11.7(25)
5v = 292.5
v = 58.5 m/s
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You decide to hike up Mt. Everest so you can experience what it is like to be above roughly 75% of the air in the atmosphere. If the pressure at the surface is 1000 mb, what is the most reasonable approximation of the pressure at the summit (top of the mountain)?
You decide to hike up Mt. Everest so you can experience what it is like to be above roughly 75% of the air in the atmosphere, the pressure at the summit is mathematically given as
P= 250mb
What is the most reasonable approximation of the pressure at the summit (top of the mountain)?Generally, the equation for pressure at the summit is mathematically given as
P= (100-75) * pressure at the surface
Therefore
P= (25/100) x 1000
P= (0.25 x 1000)mb
P= 250mb
In conclusion, the pressure at the summit
P= 250mb
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A crate is moved across a frictionless floor by a rope THAT is inclined 30 degrees above horizontal. The tension in the rope is 50 N. How much work is done in moving the crate 10 meters?
Only the horizontal component of the tension force is performing work on the crate. This component has magnitude (50 N) cos(30°) = 25√3 N, so the work done is
(25√3 N) (10 m) = 250√3 N•m ≈ 433 J
A 4.0-kg object has 72 J of kinetic energy.
Determine its speed.
Answer:
6m/s
Explanation:
v = sqrt of 2KE/m
Where:
KE = kinetic energy
m = mass of a body
v = velocity of a body
= sqrt of 2(72)/4
= sqrt of 144/4
= sqrt of 36
= 6m/s
Which of the following is a common use of infrared light?
O remote control
Otanning lamp
Omicrowave oven
Ostreet light
remote control
Explanation:
A remote control uses light waves just beyond the visible spectrum of light—infrared light waves—to change channels on your TV.
Answer
A)
B
C
please
Answer:
a is b is c isExplanation:
brash this so hard
How do you think the ball in pinball will travel? draw a line to trace the path the ball will take after it is launched
The magnetic properties of the ball help to travel in the pin ball.
What is pinball?A Pinball is a steel sphere of diameter 3 cm. It weighs 2.8 ounces. The ball can reach speed upto 90 miles per hour on the traditional steel pinball.
The magnetic properties of the ball help to travel in the pinball , as some machines uses the magnets to trap the ball in certain places on the playfield.
In some of the machines the ceramic pinball is called Powerball.
Pinball move around the table, hitting bumpers and some targets to score the points.
You'll get only three balls to play, when your third ball falls down then your game will be over.
So, the ball in the pinball will travel because of then magnetic properties of ball.
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PLease help with this this is pretty hard for me i kinda get it but not fully
Explanation:
Force = mass x acceleration
F= ma (formula)
15N = o.5kg x a
Divide both sides by o.5
a = 30 (greater acceleration)
15N = 4.5kg x a
Divide both sides by 4.5
a= 3.33 (great acceleration)
15N = 0.05kg x a
Divide both sides by 0.05
a = 300 (greatest acceleration)
Light passes from an object through the video camera lens and is converted into an electrical signal by a ___________
Light passes from an object through the video camera lens and is converted into an electrical signal by an image sensor.
What is an image sensor?An image sensor, sometimes known as an imager, is a sensor that detects and transmits information required to create an image.
It accomplishes this by translating the changing attenuation of light waves into signals, which are tiny bursts of electricity that carry information.
An image sensor converts light from an object that passes through the video camera lens into an electrical signal.
Light passes from an object through the video camera lens and is converted into an electrical signal by an image sensor.
Hence,image sensor is the correct answer.
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Decide whether the following statement is true (T) or false (F).
Original seat belt designs were 2-point or lap belts
1. True
or
2. False
I really hope this is true. also pay no attention to this answer I'm doing it to finish my account
Answer:
True
Explanation:
See picture.
An electric circuit contains an operating heating element and lit lamp. why does the lamp stay lit
In this circuit having an operating heating element and lit lamp, the lamp is going to continue to be lit if the circuit is connected in parallel.
What is an electric circuit?The term electric circuit has to do with the path that current can pass through. In a circuit, there are some components that must be present in the circuit. The question is incomplete, the complete question is shown in the section marked 'missing parts'.
For the lamp in which there is also an operating heating element, the lamp will remain lit only when the circuit is connected in parallel because the potential difference across the components remain the same.
Missing parts:
An electric circuit contains an operating heating element and a lit lamp. Which statement best explains why the lamp remains lit when the heating element is removed from the circuit?
answer choices
The lamp has less resistance than the heating element.
The lamp has more resistance than the heating element
The lamp and heating element were connected in parallel.
The lamp and heating element were connected in series.
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45 V =
2.0 Ω
www
6.0 Ω
3.0 Ω
>4.0 Ω
What is the equivalent resistance in this circuit?
Ω
What is the current in this circuit?
A
Answer:
Current = 22.5A
Explanation:
By using ohm's law [tex]i = \frac{v}{q} [/tex]45/2 = 22.5what is the most similar to the Sun in luminosity and temperature
Explanation:
At a distance of 4.25 light years, Proxima is the closest-known star to our solar system. Science of the Alpha Centauri system. The two stars that make up Alpha Centauri, Rigil Kentaurus and Toliman, are quite similar to our sun
Anna pushes a box with a force of 8.00 newtons. she generates a power of 3.00 watts. how much time does it take for anna to move the box the distance of 9.72 meters? a. 12.4 seconds b. 20.1 seconds c. 25.9 seconds d. 30.8 seconds e. 35.8 seconds
The time taken for anna to move the box the distance of 9.72 meters is 25.9 seconds. The correct option is c.
What is force?The force is the action of push or pull to move or stop an object.
Anna pushes a box with a force of 8.00 newtons. she generates a power of 3.00 watts.
Force is related to power by the relation
Force = Power / Velocity
Put the values, we get
8 = 3/V
V = 0.375 m/s
Velocity is defined as the ratio of distance and the time taken.
The box is moved by the distance of 9.72 meters. So, time taken is
V = d/t
0.375 = 9.72/t
t =25.9 seconds.
Thus, time taken for anna to move the box the distance of 9.72 meters is 25.9 seconds.
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A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 2. 00 m making 7. 00 revolutions every 10. 0 seconds. What is the magnitude of the acceleration of the ball?.
Answer:
F = M ω^2 R is the centripetal force on the ball
f = 7 / 10 = .70 / sec revolutions / sec
ω = 2 pi f = 4.40 / sec
ah = F / m = 4.4^2 * 2 = 38.7 m/s^2
horizontal acceleration = 38.7 m/s^2
vertical acceleration = 9.80 m/s^2
a = (38.7^2 + 9.8^2)^1/2 = 39.9 m/s^2 total acceleration
the first s-wave reaches a seismic station 22 minutes after an earthquake occurred. how long did it take the first p-wave to reach the same seismic station?
The time taken for the first p-wave to reach the same seismic station is approximately 13 minutes.
Time of travel of the P-wave
In rock, S waves generally travel about 60% the speed of P waves, and the S wave always arrives after the P wave.
Relationship between speed and timev ∝ 1/t
v₁t₁ = v₂t₂
t₁/t₂ = v₂/v₁
t₁/t₂ = 0.6v₁/v₁
t₁/t₂ = 0.6
t₁ = 0.6t₂
t₁ = 0.6 x 22 mins
t₁ = 13.2 mins
Thus, the time taken for the first p-wave to reach the same seismic station is approximately 13 minutes.
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A beam of visible light has a frequency of 4.5x10^14 Hz. What is the wavelength of this light? What color is this light?
Answer:
The wavelength is about 666.2 nm.
The color is red.
Explanation:
Recall the relationship between frequency and wavelength:
[tex]\displaystyle c = \lambda \nu[/tex]
Solve for wavelength λ:
[tex]\displaystyle \lambda = \frac{c}{\nu}[/tex]
Substitute and evaluate. Note that 1 Hz = 1 s⁻¹:
[tex]\displaystyle \begin{aligned} \lambda & = \frac{(2.998\times 10^{8} \text{ m/s})}{(4.5\times 10^{14} \text{ /s})} \cdot \frac{1\times 10^9\text{ nm}}{1\text{ m}} \\ \\ & = 666.2 \text{ nm}\end{aligned}[/tex]
Therefore, the wavelength of the light is about 666.2 nm.
This corresponds with the red region of the visible spectrum.
Which of the following statements does NOT accurately describe the Berlin Airlift?
The Berlin Airlift is best described as the aircraft used to delivered needed food and supplies to the city of Berlin through the air because all other routes were blocked by the Soviet Union.
What is Berlin Airlift?The Berlin airlift was a 1940s military operation that supplied West Berlin with food and other vital goods by air after the Soviet Union blockaded the city.
Thus, the Berlin Airlift is best described as the aircraft used to delivered needed food and supplies to the city of Berlin through the air because all other routes were blocked by the Soviet Union.
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What is the phase of a 20 gram of crystalline when its temperature is 250 degrees clesius
Explanation:
20÷250 =12.5 and do it by using fourmulaes
how does analogue signals work?
Explanation:
An analog signal uses some property of the medium to convey the signal's information. For example, an aneroid barometer uses rotary position as the signal to convey pressure information. In an electrical signal, the voltage, current, or frequency of the signal may be varied to represent the information.
A boy leaves his home and goes in a car, returning to his house after travelling 20 km in half an hour. What is his displacement?
Answer:
The displacement is straight or the shortest distance from starting point to the destination with direction it moved.
However, here the started from one point and returned to same point. And hence the distance from the starting to final point is Zero. Therefore, there is no displacement for the body.
an object of 5kg is moving with a velocity of 2 m/s an externally applied force increases the velocity of an object to 6 m/s. Calculate the change in momentum
The change in momentum of an object that is initially moving at a velocity of 2m/s but later increased to 6m/s is 20kgm/s.
How to calculate change in momentum?The momentum of a body can be calculated by multiplying the mass of the body by its velocity.
However, the change in momentum is the mass of the body multiplied by the change in velocity as follows:
∆p = m × [Vf - Vi]
Where;
m = massVf = final velocityVi = initial velocity∆p = 5 × (6 - 2)
∆p = 20kgm/s
Therefore, the change in momentum of an object that is initially moving at a velocity of 2m/s but later increased to 6m/s is 20kgm/s.
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A car of mass 1500 kg is moving with a velocity of 72 km/h. When the driver applied brakes, the velocity of the car reached 10 km/h by travelling the distance of 50 m. Calculate the amount of force applied in the car during that time.
Explanation:
friend I have solved it as we know that force = mass *acceleration and by the equations of motion
To solve this, we must be knowing each and every concept related to force and its calculation. Therefore, the amount of force applied in the car during the time is 6000N.
What is fundamental force?Nature is governed by four fundamental or universal forces. All stuff in the universe would disintegrate in the absence of these forces. Any pull or push that causes an item to change its physical condition is referred to as force (in terms of motion or deformity).
Mathematically,
V²-u²=2aS
V=72 km/h=72000/3600=20m/s
u=0m/s
s= 50 m
substituting all the given values in the above equation, we get
20²-0²=2×a×50
a=4m/s²
Force = mass ×acceleration
substituting all the given values in the above equation, we get
1500 kg=mass
Force = 1500 ×4
=6000N
Therefore, the amount of force applied in the car during the time is 6000N.
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Write a 150-200 word response. your class requires you to use a program that you must download on your computer you have waited until day 5 of the week to download the program and you need it for an assignment that is due in 2 days now you are having issues with the program how do you approach solving this problem who would you contact first and why what are the resources available to support you when obstacles arise and why is effective communication important in linking you to these resources
A person would contact his fellow students and his friends inquiring whether they have encountered the same issue as it is with him.
What is program?The program is a system software which helps students to learn or accomplish any projects.
The class requires a student to use a program that you must download on his computer. He have waited until day 5 of the week to download the program and need it for an assignment that is due in 2 days now. He is having issues with the program.
He must contact his fellow friends and students whether they are facing the same error in starting the program. There are many resources to be used in place of that software. He can also use the internet to find out the troubleshooting methods. He can also contact the software developer and discuss the problems regarding software.
The effective communication can resolve the issues. If no communication is there, no problem is being solved. The person will never understand what other person is facing until and unless he doesn't speak.
Therefore, proper communication and complete details must be shared in order to solve any issue. Any critical problem can be solved even by just discussing.
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5. Calculate the volume of a cube with the following measurements.
Length= 5 cm
Height = 10 cm
Width = 16 cm
O 31 cubic cm
50 cubic cm
O 800 cubic cm
O400 cubic cm
Write a hypothesis about the effects of magnetic and electric fields. Use the format of "if . . . then . . . because . . ." and be sure to answer the lesson question: "How can magnetic and electric fields be demonstrated?"
If the charged particle moves in the magnetic field or electric field, then it experiences magnetic force or electric force because of its magnetic or electric properties.
What is magnetic field?The magnetic field is the region of space where a charged object experiences magnetic force when it is moving.
When a charged particle such as an electron or proton moves inside a conductor, magnetic lines of force rotate around the particle. This relative motion causes the magnetic field to generate.
Thus, If the charged particle moves in the magnetic field or electric field, then it experiences magnetic force or electric force because of its magnetic or electric properties.
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Answer:
If a magnetic or electric field is present, materials that generate these fields will interact by attracting or repelling each other because of their magnetic or electric properties.
Explanation:
When electromagnetic radiation strikes perpendicular to a flat surface
Answer:
a totally absorbing surface feels radiation pressure
Explanation:
When electromagnetic radiation strikes perpendicular to a flat surface, a totally absorbing surface feels radiation pressure
2 red and 2 blue overlapping balls in the center are surrounded by a green, fuzzy, circular cloud with a white line running through it. 2 green balls sit on the white line, and a line leading a bracket around the balls is labeled a. a line leading to a bracket overlapping the white line is labeled b. which is a characteristic of the part of the atom marked "b"? it is very dense. it has a large mass. it is negatively charged. it is where neutrons move.
The line leading a bracket around the balls, labeled A, represents the nucleus of the atom.
What is nucleus?The nucleus constructs the major part of the atom where all the mass of atom is concentrated. The nucleus of the atom lies at the center, where protons and neutrons are placed.
2 red and 2 blue overlapping balls in the center are surrounded by a green, fuzzy, circular cloud with a white line running through it. 2 green balls sit on the white line, and a line leading a bracket around the balls is labeled a. a line leading to a bracket overlapping the white line is labeled b.
The red balls and the two overlapping balls in the center are representing the protons and neutrons.
Thus, the line leading a bracket around the balls, labeled A, represents the nucleus of the atom.
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g) If two cars A and B are moving with velocity 60 km/hr and 80 km/hr respectively in the same direction. What will be the relative velocity of B with respect to A? (20 kmhr)
Explanation:
Here,
Velocity of A=60km/hr
Velocity of B=80km/hr
Now,
Relative velocity of B with respect to A in the same direction=Velocity of B - Velocity of A
=80km/hr-60km/hr
=20km/hr
Answer:
20Km / hr
Explanation:
Here
velocity car A=60km/hr
velocity car A=60km/hrvelocity car B=80km/hr
Now
Relative velocity of B with respect to A in the same direction =velocity of B - velocity of A
= 80Km/hr - 60Km/hr
=20km/hr Ans
which of the following is composed of only one kind of atom?
Answer:
An element is a pure substance and is made of only one type of atom; it cannot be broken down into a simpler substance.
An electronic defibrillator used on heart attack victims works by delivering charge stored in a capacitor. If the device utilizes a
The energy stored in the capacitor at given capacitance and voltage is determined as 396.5 J.
Energy stored in the capacitorThe energy stored in the capacitor is calculated as follows;
E = ¹/₂CV²
where;
V is the voltage
E = ¹/₂ x 13 x 10⁻⁶ x (7.81 x 10³)²
C is the capacitanceV is the voltageE = ¹/₂ x 13 x 10⁻⁶ x (7.81 x 10³)²
E = 396.5 J
Thus, the energy stored in the capacitor at given capacitance and voltage is determined as 396.5 J.
The complete question is below
An electronic defibrillator used on heart attack victims works by delivering charge stored in a capacitor. If the device utilizes a 13.0 μF capacitor charged to 7.81 × 103 V, what is the energy stored in the capacitor?
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