The angular momentum (L) of an object in circular motion can be calculated using the formula L = m * r * v, where m is the mass of the object, r is the distance from the center of the circle, and v is the tangential velocity of the object. The child's angular momentum about the pole is approximately 728.9 kg m²/s.
To answer your question, we need to use the equation for angular momentum, which is L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. To find the moment of inertia, we need to know the shape of the child's path. Assuming that the child is running in a perfect circle, we can use the formula for moment of inertia of a point mass rotating about an axis, which is I = mr^2, where m is the mass of the child, and r is the distance from the pole. Plugging in the given values, we get:
I = (38.7 kg)(2.39 m)^2
I = 220.5 kg⋅m^2
Next, we need to find the angular velocity, which is given by the formula ω = v/r, where v is the linear velocity of the child. Plugging in the given values, we get:
ω = 7.83 m/s / 2.39 m
ω = 3.28 rad/s
Finally, we can calculate the angular momentum using the formula L = Iω:
L = (220.5 kg⋅m^2)(3.28 rad/s)
L = 722.04 kg⋅m^2/s
Therefore, the child's angular momentum about the pole is 722.04 kg⋅m^2/s. It's important to note that angular momentum is a vector quantity, so it has both magnitude and direction. In this case, the direction is perpendicular to both the child's velocity and the pole, following the right-hand rule for rotational motion. I hope this answers your question, and please let me know if you have any further questions.
In this case, the child's mass (m) is 38.7 kg, the distance from the pole (r) is 2.39 m, and the speed (v) is 7.83 m/s. Plugging these values into the formula, we get:
L = (38.7 kg) * (2.39 m) * (7.83 m/s)
L ≈ 728.9 kg m²/s
The child's angular momentum about the pole is approximately 728.9 kg m²/s.
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a car accelerates from rest at a rate of 20 m/s2. how far will the car have traveled by the time it reaches a speed of 30 m/s?
A car accelerates from rest at a rate of 20 m/s2, car would have traveled distance of 22.5 m by the time it reaches a speed of 30 m/s.
What do you understand by acceleration?Acceleration is the rate at which the velocity changes with time, in terms of speed and direction both. An object moving in a straight line is accelerated if it speeds up/ slows down.
Given initial velocity is 0 ; acceleration, a = 20m/s²
Final velocity given 30m/s
v² = u² +2as
Distance, s = (v² - u²)/2a
= (30 - 0)/(2* 20)
Distance = 22.5 m
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Would you expect to weigh more on an ocean beach or on top of a mountain? Explain.
Answer:
I think top. of a mountain
Answer: You would weigh very slightly more at sea level than at the top of a mountain, not enough for you to notice, but a measurable amount. Weight, which really means gravitational force, is proportional to the product of the masses of two objects acting on each other, in this case the giant earth and the minuscule you.
Explanation:
An emf of 46.9 mV is induced in a 294-turn coil when the current is changing at a rate of 8.8 A/s. What is the magnetic flux through each turn of the coil at an instant when the current is 3.51 A
Magnetic flux through each turn of the coil at an instant when the current is 3.51 A is 0.000547 Wb.
The induced emf in a coil is given by Faraday's law of electromagnetic induction as:
emf = - N(dΦ/dt)
where N is the number of turns in the coil, Φ is the magnetic flux through each turn, and dt/dt is the rate of change of magnetic flux.
Rearranging the above equation, we get:
Φ = - emf / (N (d/dt))
Substituting the given values, we get:
Φ = - (46.9 × 10⁻³ V) / (294 × (8.8 A/s)) = - 0.000191 Wb
At an instant when the current is 3.51 A, the rate of change of current is:
(d/dt) = 3.51 A/s
Substituting this value, we get:
Φ = - (46.9 × 10⁻³ V) / (294 × (3.51 A/s)) = - 0.000547 Wb
The negative sign indicates that the direction of the induced magnetic flux is opposite to the direction of the changing current.
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How much force is needed to move a 0.1 kg snowball at a rate of 15 m/s² upward?
Answer:
The needed force is "1.5 Newtons". A further solution is provided below.
Explanation:
The given values are:
mass,
= 0.1 kg
acceleration,
= 15 m/s²
As we know,
⇒ \(Force= mass\times acceleration\)
On substituting the given values, we get
⇒ \(=0.1\times 15\)
⇒ \(=1.5 \ Newtons\)
A boy of mass 40kg and a girl of mass 30kg play on a see-saw of negligible weight. If the boy sits 270 cm from the pivot of the see-saw, where must the girl sit to make it balance.
Please show the steps....I will follow you if you do.
Hi there!
To solve, we can use a summation of torques.
For the see-saw to balance, the sum of torques must equal 0, so:
∑τ = 0
Recall that:
τ = rFsinθ
r = distance from pivot (meters)
F = force (N)
In this case, the forces are the weight of the children. Also, we can leave the distance in centimeters for this type of problem, but others do require a conversion to meters.
Multiply each mass by 10 (g ≈ 10 m/s²) to get the weight:
Στ = 270(400) - x(300) = 0
270(400) = 300x
Solve for 'x', the distance in cm away from the fulcrum:
108000/300 = 360 cm
a sight glass that is full of vapor or liquid may look the same.
The given statement is true. A sight glass is a transparent or translucent window installed in a pipeline or vessel to visually inspect the presence, level, and characteristics of a fluid.
Explanation: When a sight glass is full of vapor, it may appear similar to when it is filled with liquid. This is because both vapor and certain liquids can be transparent or have similar optical properties. In such cases, it can be challenging to distinguish between a sight glass filled with vapor and one filled with liquid by visual observation alone.
To accurately determine whether a sight glass is filled with vapor or liquid, additional information or techniques may be required.
For example, measuring the temperature or pressure of the system, observing any condensation or evaporation occurring in the sight glass, or employing other complementary instruments or indicators can help differentiate between vapor and liquid contents.
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Please help me
This animation will allow you to find the density of a penny, a nickel, and a quarter.
Make a hypothesis in which you suggest which coin will have the highest density and which will have the lowest density. A model hypothesis might be: "If the (fill in the name of a coin) has a greater density than the _____ and _____, then it will have a greater mass to volume ratio. If the (fill in the name of a coin) has a lower density than the _____ and _____, then it will have a lower mass-to-volume ratio.
EXPERIMENT: DETERMINING DENSITY
Have you ever wondered how a vending machine "knows" that you have put in the correct amount of change to purchase a snack or a drink? These machines use coin detectors that determine the mass and the size of the coins deposited. In other words, they analyze the density of the coins. United States coinage is minted within very narrow specifications, so the density of each type of coin is always the same. The coin detectors compare the coins inserted to the preset standards to determine if the correct combination of coins has been deposited. In this lesson, you too will determine the density of various coins.
OBJECTIVES
Recognize the characteristics of density.
Design and carry out a scientific investigation.
Present your findings in a scientific report.
Online Lab
This animation will allow you to find the density of a penny, a nickel, and a quarter.
Make a hypothesis in which you suggest which coin will have the highest density and which will have the lowest density. A model hypothesis might be: "If the (fill in the name of a coin) has a greater density than the _____ and _____, then it will have a greater mass to volume ratio. If the (fill in the name of a coin) has a lower density than the _____ and _____, then it will have a lower mass to volume ratio.
Remember to record your data and observations in the data sheet so that you can use them to present your findings.
Present Your Findings
Write one or two summary paragraphs discussing this experiment and the results. Use the following questions and topics to help guide the content of your paragraph.
According to your data, was your hypothesis correct? (Be sure to refer to your data when answering this question.)
Summarize any difficulties or problems you had in performing the experiment that might have affected the results. Describe how you might change the procedure to avoid these problems.
List at least two real-world examples that apply the findings of this experiment. (Hint: An example of this type was given in the introduction to this project.)
The he nickel has a greater density than the penny and quarter because it has the greater mass to volume ratio.
What is density?Density is the ratio of the mass and volume of a substance.
Density measures the compactness of the particles of a substance.
When comparing the density two objects of equal volume, the denser objects will have more mass or weight.
The model hypothesis is as follows:
If the nickel has a greater density than the penny and quarter, then it will have a greater mass to volume ratio. If the penny has a lower density than the nickel and quarter, then it will have a lower mass to volume ratio.
By taking measurements of the mass and volume of the nickel, penny and quarter, it will be observed that the nickel has the higher mass to volume ratio. Hence, nickel has a greater density than the penny and quarter.
In conclusion, the density of a substance is the mass and volume ratio of that substance.
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in physics the word medium means
A. A type of paint
B. A size.
C. A material or substance.
D. A psychic.
Answer:
the answer is C a material or substance
Explanation:
BRAINLIEST PLZZZZZZZZZZZZZZZ
A runner runs at a constant speed of 5 meters per second. They run for 10 minutes (600 seconds). How far did they travel during
those ten minutes?
300 meters because 5x600=3000 and 3000÷10=300 please someone check me for this answer
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How old is the sun?
Answer:
4.6 billion years
Explanation:
If a 5 kg object was raised to a height of 10 m during 3 seconds. What is the power?
Answer:
A. Energy = 490 Joules
B. Power = 16.3 Watts
Explanation:
Given the following data;
Mass = 5kg
Height = 10m
Time = 3 seconds
To find the power;
First of all, we would have to determine the energy possessed by the object due to its height (potential energy).
We know that acceleration due to gravity is equal to 9.8m/s²
Energy = mgh
Energy = 5*9.8*10
Energy = 490 Joules
Now, we would find the power;
Power = energy/time
Power = 490/3
Power = 16.3 Watts
A 120 volt refrigerator uses 650 watts. Calculate how much work is done by the refrigerator in one hour?
Answer:
2,340,000 J
Explanation:
Work done can be described as when energy or force is applied to an object to cause displacement
Work done is measured in joules
1 Watt = 1 Joule / second
650 watts = 650 Joules / second
convert 650 joules to seconds by multiplying by 3600
650 x 3600 = 2,340,000 J
When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.
Answer all these and i'll mark brainliest.
A 68.5 kg cyclist travels a straight climb two kilometers long. The mass of the bicycle is 11.5 kg, the ratio between altitude difference and distance traveled is 0.100. Calculate the work that the force of gravity does on the cyclist + bicycle system. Explain why the cyclist has to do more work than calculated
The biker must convert all of his kinetic energy into thermal energy in order to come to a full stop. The work is resistive because the braking force resists movement, hence W = -10 214.4
Ours has Ek = 1/2m x v2
Ek = 1/2mxv2
Ek = 1/2x79.8x162
Ek = 10214.4 J
Is a system's total mechanical energy constant?As long as the forces being applied are conservative (don't rely on the route), the mechanical energy in a system stays constant, according to the rule of conservation of mechanical energy.
The combination of kinetic energy, or energy of motion, and potential energy, or energy stored in a system as a result of the arrangement of its components, is known as mechanical energy.
The mechanical energy of an item is just the product of its kinetic and potential energy. Depending on the direction and amount of the kinetic and potential energy, it can be either positive or negative.
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what are some ways to increase gravitational potential energy?
Answer:
Increase height
Increase mass
Branden is an excellent student, but he is never satisfied with his grades, even though they are consistently high. Given these personality traits, which best describes Branden? Branden is so unhappy with himself and his grades that he has given up trying. Branden believes himself to be a victim of his circumstances. Branden believes that he is not okay unless he is perfect. Branden is constantly worried that something bad is about to happen.
Answer:
C - Branden believes that he is not okay unless he is perfect.
Explanation:
sorry im late but good luck <3
Answer:
c
Explanation:
25 points! Will give brainliest!
1. Draw the diagram
2. List the Givens
3. Select the correct equation to solve for and manipulate the equation
4. Substitute the given values
A ball is thrown horizontally from the roof of a building 60 m tall with a speed of 6.9 m/s.
a.How much later does the ball hit the ground?
b. How far from the building will it land?
c. What is the velocity of the ball just before it hits the ground?
Answer:
B my brother say that it was
A string under a tension of 170 N has a frequency of 300 Hz.What will its frequency become if the tension is increased to 340 N?
The speed of the wave on a string is given by Taylor's formula:
\(v=\sqrt[]{\frac{F}{\mu}}\)where
F = tension force
μ = linear density = mass per unit length
But also we can say the speed of any wave is given by:
\(v=\lambda\times f\)where:
λ = wave length
f = frequency
Plug the second equation in the first one. We get:
\(\lambda\times f=\sqrt[]{\frac{F}{\mu}}\)Now solve for f:
\(f=\frac{1}{\lambda}\times\sqrt[]{\frac{F}{\mu}}\)Lets say wave length is the same on the second case. Since it's the same string μ will also be the same.
See that 340 N = 2 x 170, so we can write:
\(\begin{gathered} f_{new}=\sqrt[]{2}\times\frac{1}{\lambda}\sqrt[]{\frac{F}{\mu}} \\ f_{new}=\sqrt[]{2}\times f_{old} \\ f_{new}=\sqrt[]{2}\times300 \\ f_{new}\approx424Hz \end{gathered}\)What must be in cm, the barometric height so that the pressure is 1000 mbar?Density of mercury: 13.6
75.064 cm
Explanation
to solve this we need to know the equivalence
\(1mmbar=0.075006cmHg\)then
let's use a equivalente fraction to convert the measure
\(1000\text{ mbar(}\frac{0.075006\text{ cm HG}}{1\text{ mbar}})=75.064\text{ cm Hg}\)hence, the answer is 75.064 cm
I hope this helps you
fill in the blanks
8) Kinetic energy is the energy of ________.
9)The potential energy of an object depends on its ________ and its height.
10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.
Answer: Kinetic energy is the energy an object has because of its motion
(if it needs to be a one worded answer than just type motion)
The potential energy of an object depends on its mass and its height.
The law of conservation of energy states that energy can be neither created nor destroyed, but it can change its form.
Answer:Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work.
As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.
The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.
Derive the relation between wavelength, frequency and speed of sound.
Explanation:
sorry I need some points foe this
A 5.39 mm high firefly sits on the axis of, and 10.9 cm in front of, the thin lens A, whose focal length is 5.87 cm. Behind lens A there is another thin lens, lens B, with a focal length of 25.1 cm. The two lenses share a common axis and are 61.1 cm apart.
The image is located 52.63 cm away from lens B.
The image formed is real.
Calculation:The equation of the constructor of geometric optics is used here. it is given as,
\(\frac{1}{q} = \frac{1}{f} - \frac{1}{p}\)
where,
q = distance of image from the lens
f = focal length of the lens
q = distance of the object from the lens
Lens A
To find the distance of the image from lens A
\(\frac{1}{qa} = \frac{1}{fa} - \frac{1}{p}\)
\(\frac{1}{qa} = \frac{1}{5.87} - \frac{1}{10.9}\)
\(\frac{1}{qa} = 0.08\)
\(qa = 12.5 cm\)
Lens B
The distance between the lenses minus the distance to the image is the distance from lens B to the object,
\(pb = d - qa\)
\(= 61.1 - 12.5\)
\(pb = 48.6 cm\)
Now use the constructor's equation to find the distance of image from lens B,
\(\frac{1}{q} = \frac{1}{fb} - \frac{1}{pb}\)
\(\frac{1}{q} = \frac{1}{25.1} - \frac{1}{48.6}\)
\(\frac{1}{q} = 0.019\)
\(q = 52.63 cm\)
Hence, the image is located 52.63 cm away from lens B.
I understand the question you are looking for is this:
A 5.39 mm high firefly sits on the axis of, and 10.9 cm in front of, the thin lens A, whose focal length is 5.87 cm. Behind lens A there is another thin lens, lens B, with a focal length of 25.1 cm. The two lenses share a common axis and are 61.1 cm apart. Is the image of the firefly that lens B forms real or virtual? How far from lens B is this image located?
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a metallic surface is illuminated with light of wavelength 400 nm. if the work function for this metal is 2.4 eV. what is the maximum kinetic energy of the ejected electrons, in electron volts?
Assume that
1 eV = 1.6 * 10^-19
c = 3 * 10^8
h = 6.626 * 10^-34
I already got the answer before and I know that the max kinetic energy is 0.71 eV but when I tried to solve it again, I forgot what to do.
I tried getting the cut off wave lengths and using that combined with the wavelength provided to get the K.E max but it didn't work
The maximum kinetic energy of the ejected electrons will be 0.71 eV.
What is the kinetic energy of electrons?The kinetic energy (KE) of electrons is defined as the product of one-half of the mass of the electron to the square of the velocity at which electrons spin in orbit.
Given data;
λ(Wavelength)= 400 × 10⁻⁹ m
Φ(Work function)=2.4 eV
c(Speed of light)= 3 ×10⁸ m/sec
h(Constant) = 6.626 * 10^-34
\(\rm \phi = 2.4 eV = 2.4 \times 1.6 \times 10^{-19} \\\\ \rm \phi =3.84 \times 10^{-19} \ J\)
The maximum kinetic energy is found as;
\(\rm KE= \frac{hc}{\lambda} - \phi \\\\ KE= \frac{6.64 \times 10^{-34}}{400 \times 10^{-9}} -3.84 \times 10^{-19} \\\\ KE=1.14\times 10^{-19} \ J\)
Unit conversion:
1 eV = 1.6 * 10⁻¹⁹ j
1 J=1/( 1.6 * 10⁻¹⁹) ev
KE=0.71 eV
Hence, the maximum kinetic energy of the ejected electrons will be 0.71 eV.
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A car accelerates at -1 m/s2. What is its final speed (in m/s) at the end of 4 seconds if it started at 1 m/s? (round
to the nearest whole number)
This is an exercise in Rectilinear Uniformly Varied Motion (MRUV) is a type of motion in which an object moves in a straight line and experiences changes in its velocity at a constant rate. In this type of motion, the acceleration of the object remains constant over time.
The distinctive feature of the MRUV is that the velocity of the object changes uniformly, that is, its velocity increases or decreases by a constant amount in each unit of time. If the object experiences a positive acceleration, its velocity increases with time. On the other hand, if the object experiences a negative acceleration, its speed decreases.
In an MRUV, constant acceleration has a direct impact on displacement and the time it takes for the object to reach a certain speed. Also, the direction of the acceleration determines whether the object is accelerating or decelerating relative to its initial motion.
This type of movement is found in various situations of daily life, such as the launch of an object upwards and its subsequent fall, the movement of cars on a road with acceleration or braking, or even the study of bodies in free fall.
To solve this problem, we can use the kinematics formula for constant acceleration:
Vf = V₀ + a × t
Where:
Vf is the final speedV₀ is the initial velocitya is the accelerationt is the timeIn this case, the initial velocity (vi) is 1 m/s, the acceleration (a) is -1 m/s^2 (negative because it indicates deceleration), and the time (t) is 4 seconds.
Substituting these values into the formula, we get:
Vf = V₀ + a × t
Vf = 1 m/s + (-1 m/s²) × 4 s
Vf = 1 m/s - 4 m/s
Vf = -3 m/s
The final velocity of the car at the end of 4 seconds would be -3 m/s. Negative velocity indicates that the car is slowing down.
plz do all of it i will give brainlest and thanks to best answer
plz do it right
Answer:
d
Explanation:
because earth does have more water than land so it would be d
hat is hard glass? Classify the components of glass based on formers, inter
Hard glass is a type of glass characterized by its high resistance to thermal and mechanical stress. It is commonly used in scientific and industrial applications. The components of glass can be classified into formers, intermediates, and modifiers.
Hard glass, also known as borosilicate glass, is a type of glass that possesses high resistance to thermal expansion and mechanical stress. It is composed mainly of silica (SiO2) and boron oxide (B2O3), which act as formers in the glass structure. The formers provide the basic framework of the glass and contribute to its high durability and thermal stability.
In addition to formers, glass can also contain intermediates and modifiers. Intermediates, such as alumina (Al2O3) and magnesia (MgO), help in reducing the melting point of the glass and improve its workability during the manufacturing process. Modifiers, such as sodium oxide (Na2O) and calcium oxide (CaO), alter the properties of the glass, such as its refractive index and chemical resistance.
By combining the right proportions of these components, glassmakers can produce glass with specific characteristics suitable for various applications, ranging from laboratory equipment and optical lenses to household items and industrial containers.
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Which sentence in the passage can be used to conclude that Eris is a dwarf planet and not a planet?
Eris takes about 557 Earth years to orbit the Sun. It has a mean surface temperature of about 40 Kelvin. It has a nearly spherical shape. It has several other objects in its orbit, though few are as massive as itself. Eris is too far away and small to be clearly visible from the Earth. Scientists used its moon, Dysnomia, to measure it. Eris is believed to be slightly more massive than Pluto. However, both of them are smaller than Earth’s Moon. Eris orbits the Sun directly; it is not a satellite of another planet or dwarf planet.
Answer:
It has several other objects in its orbit, though few are as massive as itself."
what is Laminar flow??
Answer:
Explanation:
Laminar Flow is a very important topic discussed in physics in the subject of fluid dynamics. Basically, it explains how fluid particles behave at lower velocities. In such cases and when the viscosity of the fluid is low, the fluid particles flow smoothly in perfectly perpendicular layers that do not collide or cross each other. Unlike turbulent flow, which is the opposite. An example of Laminar flow can be seen when you open up a water hose with little pressure, the water simply flows out of the hose and looks very clear and smooth.
1. An airplane flies with a constant speed of 720 km/h. How long will it take to travel a distance of 1500
kilometers?
Answer:
\(125\:\mathrm{minutes\: or\: }2.08\bar{3}\: \mathrm{hours}\)
Explanation:
Speed is given by \(s=\frac{d}{t}\), where \(d\) is distance travelled and \(t\) is time. Rearranging this equation, we have \(t=\frac{d}{s}\).
Plugging in our given information:
\(t=\frac{d}{s}=\frac{1500\:\mathrm{km}}{720\:\mathrm{km/h}}=2.08\bar{3}\: \mathrm{hours}\)
Thus, our answer is:
\(2.08\bar{3}\: \mathrm{hours}\cdot \frac{60\:\mathrm{minutes}}{1\:\mathrm{hour}}=\fbox{$125\:\mathrm{minutes}$}\)