Mary and Sue would cross with a speed of 3.288 m/s
Given: m1 = 69 kg for Mary's mass
Sue weighs 56 kilograms per square meter.
Mary's v1 velocity is 2.4 m/s.
Sue's v2 speed is 4.4 m/s.
The two people's joint speed is v.
We resolve this using the linear momentum conservation concept.
The equation is:
m1.v1 + m2.v2 = m1.v + m2.v
m1.v1 + m2.v2 = (m1 + m2) v
= [(m1.v1) + (m2.v2)] / (m1 + m2) \sv
= [(69 * 2.4) + (56 * 4.4)] / (69 + 56) v
= (164.6 + 246.4) / 125 \s
= 411 / 125 \s
v = 3.288 m/s
Mary and Sue will therefore slide across the ice at a pace of 3.288 meters per second.
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A boulder that is resting on the top of a cliff slips over the edge and accelerates towards the ground. As the rock falls, the amount of kinetic energy.
Increases as a result of the boulder's kinetic energy, which came from its accelerating descent to the ground, and potential energy, which came from it resting on the top of the cliff.
The energy that an object has as a result of its motion is known as kinetic energy in physics. It is described as the effort required to move a mass-based body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration unless its speed changes. The body exerts the same amount of effort when slowing down from its current place to rest. Formally, kinetic energy is any term in the Lagrangian of a system that contains a derivative with respect to time.
In classical mechanics, the kinetic energy of a mass m object moving at a speed. Only when v is considerably slower than the speed of light is this a good approximation in relativistic mechanics.
The English unit of kinetic energy is the foot pound, while the joule is the standard unit.
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Why do most alpha particles fired through a piece of gold foil emerge almost undeflected?.
The majority of the space in the gold, which is occupied by low mass electrons, is blasted out by the massive alpha particles.
What is meant by massive alpha particle ?It is a positively charged particle released during the radioactive disintegration of certain substances. The bonding of the two protons and two neutrons gives the alpha particle its mass. Thus, the Helium-4 nucleus and the Alpha ray nucleus share many similarities.
An alpha particle is the first one. These particles, which are the heaviest of all radiation particles, are made up of two protons and two neutrons.
The electron is the fundamental particle with the least mass.
The area where you would reject the null hypothesis would be narrower the lower the alpha level. Therefore, if your region is small, the likelihood that you will fail to reject the null when you ought to is higher.
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where's the point of max deflection for certain beams based on a certain applied load? how can you reduce a cantilever beam's deflection by 50%?
The point of max deflection for certain beams based on applied load is at 11q₀L/40.
What is deflection due to triangular load?
The deflection due to the triangular load is usually given as:
σ₁ = 11q₀L⁴/120EI
Deflection due to reaction (R)(σ₂) =
RL³/3EI
⇒ σ₁ = σ₂⇒ 11q₀L⁴/120EI
= RL/3EI= R
= 11q₀L/40
What is the significance of deflection in a beam?
In terms of structural engineering, a beam or node moving from its initial location is referred to as deflection.
It occurs as a result of the loads and forces that are placed on the body.
Deflection, also known as displacement, can result from the weight of the body structure itself or from externally applied stresses.
What is the relevance of deflection due to triangular load?
A structure's deflection must be taken into account during design, and the consequences of not doing so can be disastrous.
Deflections may be caused by various loads. These include, among others,
ground pressureearthquakeswind loadsshear loadspoint loadsevenly distributed loads anduniformly distributed loads.Therefore, the point of max deflection for certain beams based on applied load is at 11q₀L/40.
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On an essentially frictionless, horizontal ice rink, a skater moving at 6.0 m/s encounters a rough patch that reduces her speed by 48 % due to a friction force that is 25 % of her weight.
Part A. Use the work-energy theorem to find the length of this rough patch. Express your answer using two significant figures.
The length of this rough patch is 4.9 m.
The work-energy theorem, in simple words, expresses that the change in the kinetic energy in an object is equal to the work done on the object by non-conservative forces, like frictional ones.
In the question, we know that the skater is moving at a given speed, and due to the effects of friction, her speed is reduced to 40%.
Added to this, we are told that the friction force is equal to 22% of her weight so we can write the following:
Ff = 0.22 m. g.
Now the work done by this force is equal to the product of the force times the distance during which the force acted, i.e, the distance that we are looking for.
So, we can write the following in a brief:
ΔK = Wf ⇒ 1/2 m (vf² - v₀²) = -Ff . x
(The negative sign explains that the friction force always opposes the relative movement between the two surfaces in contact).
Replacing the values, and solving for x, we get:
1/2 ( 2² - 5²) = -0.22. 9.8. x ⇒ x = 4.9 m
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in which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?
In clockwise, the current flow as viewed by someone on the south pole of the magnet.
Understanding Clockwise
Two-dimensional rotation can occur in two possible directions. Movement clockwise (abbreviated CW) takes place in the same direction as clockwise: from top to right, then down, then left, and back up.
Before clocks became common, the terms " sunwise" and "deasil", "deiseil" and even "deocil" from Scottish Gaelic and from the same root as the Latin "dexter" ("right") were used for clockwise. " Widdershins " or "withershins" (from Middle Low German "weddersinnes", "opposite") is used for counterclockwise.
The terms clockwise and counterclockwise can only be applied to rotational motion once the side of the plane of rotation is determined, from which the rotation is observed. For example, the daily rotation of the Earth clockwise when viewed from above the South Pole , and counterclockwise when viewed from above the North Pole (remembering "above a point" is defined as "farther from the center of the Earth and in the same ray").
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The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = squareroot l + t, y = 4 + 1/8t, where x and y are measured in centimeters. The temperature function satisfies T_x(3, 5) = 7 and T_y(3, 5) = 2. How fast is the temperature rising on the bug's path after 8 seconds? () ________ degree C/s
Fast is the temperature rising on the bug's path after 8 seconds 0.75 degree C/s.
Given temparature T=T(x,y)
position of the bug after 't' sec is given by
[tex]x=\sqrt{1+t} , y=4+\frac{1}{8}t[/tex]
at t=8 sec x=3 and y=5
rate of change of temparature is given by
[tex]\frac{\mathrm{d} T}{\mathrm{d} t}=\frac{\partial T}{\partial x}\frac{\mathrm{d} x}{\mathrm{d} t}+ \frac{\partial T}{\partial y}\frac{\mathrm{d} y}{\mathrm{d} t}[/tex]
[tex]\Rightarrow \frac{\mathrm{d} T}{\mathrm{d} t}=T_{x}\frac{1}{2\sqrt{1+t}}+T_{y}\frac{1}{8}[/tex]
at t=8 sec i.e., at x=3,y=5
given [tex]T_{x}(3,5)=7 , T_{y}(3,5)=2[/tex]
therefore rate of change of temparature in the bug's path is
[tex]\frac{\mathrm{d} T}{\mathrm{d} t}=3\frac{1}{2\sqrt{1+8}}+\frac{1}{8}(2)[/tex]
[tex]\Rightarrow \frac{\mathrm{d} T}{\mathrm{d} t}=\frac{1}{2}+\frac{1}{4}=0.75^{\circ}C/s[/tex]
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if you dive into water, you reach greater depths than if you do a belly flop. explain this difference in depth using the concept of conservation of energy. explain
Answer: When you dive into water, your body is moving quickly and has a lot of kinetic energy. This energy is converted into potential energy as you move down into the water. You reach greater depths because you have more potential energy. When you do a belly flop, your body is moving more slowly and doesn't have as much kinetic energy. This means that less energy is converted into potential energy, and you don't reach as great of depths.
Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 160cm , but its circumference is decreasing at a constant rate of 15.0cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 0.800T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
Part A
Find the magnitude of the emf E induced in the loop after exactly time 9.00s has passed since the circumference of the loop started to decrease.
Express your answer numerically in volts to three significant figures.
The magnitude of the EMF E induced in the loop after exactly time 9.00s has passed since the circumference of the loop started to decrease is 4.72 mV
Circumference = 2 π r
Initially at t = 0,
Circumference = 160 cm
2 π r = 160
r = 160 / 2 * 3.14
r = 25.48 cm
d ( 2 π r ) dt = - 15 cm / s
2 π dr / dt = - 15
dr / dt = - 15 / 2 * 3.14
dr / dt = - 2.39 cm / s
Integrating both sides,
r = - 2.39 t + C
At time t = 0, r = 25.48 cm
25.48 = 0 + C
C = 25.48
At any time t,
r = - 2.39 t + 25.48
A = π r²
dA / dt = 2 π r dr / dt
dA / dt = 2 π ( - 2.39 t + 25.48 ) ( - 2.39 )
At t = 9 s,
dA / dt = 2 * 3.14 ( - 2.39 * 9 + 25.48 ) ( - 2.39 )
dA / dt = 6.28 ( 3.97 ) ( - 2.39 )
dA / dt = - 59.59 cm² / s
dA / dt = - 0.0059 m² / s
ε = - dΦ / dt
Φ = BA
ε = - dBA / dt
ε = - B dA / dt - A dB / dt
Since the magnetic field is constant through time,
ε = - B dA / dt
ε = - 0.8 ( - 0.0059 )
ε = 0.00472 V
ε = 4.72 mV
Therefore, the magnitude of the EMF induced in the loop is 4.72 mV
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a viscous fluid between the two cylinders exhibits a steady flow, and there is no pressure gradient in the z direction. what is the velocity profile of the fluid? what is the friction force per unit length for each cylinder
The velocity profile shows the velocity's magnitude in relation to position.
Explain about the velocity profile?The velocity distribution at a cross section of a pipe with laminar flow will have a parabolic form, with the greatest velocity at the center being around double the average velocity in the pipe.
The change in bulk temperature, average dynamic pressure, and friction factor are all connected to the shape of the velocity profile.
AsuU=sin, where U is the free stream velocity and is the local boundary layer thickness, we may calculate the velocity profile within the boundary layer for flow over a plate.
For use in fluid mechanics and fluid flow measurement, PSI developed the ultrasonic velocity profile measuring technique. It makes advantage of immediate Doppler shift frequency detection and pulsed ultrasonic echography.
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What are the three stages of collision?.
Collisions between two objects are a fundamental part of the physical world. The collision process can be broken down into three distinct stages: impact, compression and rebound.
Impact is when two objects come into contact and force is transferred from one object to the other. Compression follows impact and is the result of the objects being forced together, resulting in the objects being deformed. Rebound is the final stage and occurs when the deformation of the objects is released.
Resulting in the objects separating and returning to their original state. The impact stage of a collision is the most important as it’s what initiates the collision and determines how much force is transferred between the two objects. The compression stage of a collision is the result of the objects being forced together and deformed.
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nm cable is to be installed in the unfinished basement in a home. the cable will be run perpendicular to, and stapled to, the bottom of the ceiling joists. what size nm cable is permitted?
It is acceptable to fasten cables with conductors not smaller than two 6 AWG or three 8 AWG conductors directly to the lower edges of the joists when Type NM cable is installed at an angle with joists in unfinished basements and crawl spaces.
Theory-Through bored holes in joists or on running boards, smaller cables must be installed.If NM cable is permitted in a building, it could be installed, for instance, on the surface of an existing plaster or wallboard-covered wall. In a residential garage, attic, or basement, it might be installed exposed.Principle-With a few guidelines in mind, nonmetallic sheathed cable can be used in basements. if the cable is installed at an angle to the joists and is a 12 AWG. The cable will need to be pulled through bored holes or along running boards. The cable cannot be stapled along the joist's underside.
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you want the maximum compression of the spring to be 0.28 m . what must be the force constant of the spring?
The correct answer is 3.7 m
There are many forms of energy, which prevail, however, all these forms of energy generally come under two basic categories, that is, potential energy and kinetic energy. The different forms of potential energy are chemical energy, mechanical energy, gravitational energy, and nuclear energy.
Here, in this question,
Bullet with least kinetic energy will produce least compression.
And since the Kinetic energy of B is least so the compression produced will also be the least.
M(B) = 125 g
= 8.099 * 10⁻³ kg
V(B) = 945 ft/s = 288.036 m/s
Now using the energy conservation,
(1/2)*M(B)*V(B) = 1/2*k*x²
8.099 * 10⁻³ * (288.036)² = 49 * x²
x² = 13.71
x = d = 3.7 m
Therefore the force constant at which the spring shows the least kinetic energy and compression is 3.7 m
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMLETE QUESTION IS:
Constants Part You want the maximum compression of the spring to be 0.28 m. What must be the force constant of the spring? Express your answer with the appropriate units. In your job in a police lab, you must design an apparatus to measure the muzzle velocities of bullets fired from handguns. Your solution is to attach a 2.00 kg wood block that rests on a horizontal surface to a light horizontal spring. The other end of the spring is attached to a wall. Initially the spring is at its equilibrium length. A bullet is fired horizontally into the block and remains embedded in it. After the bullet strikes the block, the block compresses the spring a maximum distance d. You have measured that the coefficient of kinetic friction between the block and the horizontal surface is 0.38. The table below lists some firearms that you will test. A grain is a unit of mass equal to k = 49 N m Submit Previous Answers 64.80 mg Correct N Correct answer is shown. Your answer 50.86 of significant figures than required for this part. was either rounded differently or used a different number III Bullet ID Bullet Muzzle Type Mass Velocity (grains) (ft/s) .38Spec Glaser 80 1667 Blue A Part D B 125 945 .38 Spec Federal .44Spec Remington .44Spec Winchester For the bullet that produces the minimum spring compression, what is the compression d if the spring has the force constant calculated in part C? Express your answer with the appropriate units. с 240 851 D 200 819 μΑ ? E .45ACP Glaser Blue 140 1355 de Value Units Submit]
our sun, a type g star, has a surface temperature of 5800 k. we know, therefore, that it is cooler than a type o star and hotter than a type m star.
A g type star of 5800k is cooler than a O star and hotter than m type star.
The problems normally encountered with such circuit is the open air spark gap tending to go out of prefect adjustment due to heating as the gap effecting the magnets density.Typically use of a gas filled spark gap with magnetic quenching and it will work for longer but could not be adjusted internally so increasing the power factor to compensate. It will work long enough for detecting the transmitted wave at a distance twice that of radio waves are capabilities of power range. It only has four times the intensity and powerful buzzer star.To understand more about spark gap -
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A marshmallow is toasted over a fire. It turns a golden brown and caramelizes on the outside. It begins to melt on the inside. What type of change is inside of the marshmallow undergoing?.
Chemical change is undergoing the marshmallow
A chemical change occurs when one chemical substance is transformed into one or greater exceptional materials, including whilst iron will become rust.
Chemical change is defined as the process in which the atoms of 1 or more materials are rearranged or blended to shape a new substance. Whilst a substance undergoes chemical change, the chemical properties of the substance changes and it's atoms converted into a special substance with one of a kind chemical composition.
A chemical change, also known as a chemical reaction, is a procedure in which one or extra materials are altered into one or greater new and specific substances. In other words, a chemical alternate is a chemical reaction regarding the rearrangement of atoms.
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please help me. i need assistance fast
Answer:
Explanation:
A i think :3
a 9.0-cm-long spring is attached to the ceiling. when a 1.9 kg mass is hung from it, the spring stretches to a length of 15 cm.
In the case of a 9.0-cm-long spring attached to the ceiling, the spring constant is 207.1. The spring can be stretched to a height of 15 cm by hanging a 1.9 kilogram mass from it.
What is a spring with K value?The "spring constant," or "k," is a quantity that effectively indicates how "stiff" a spring is. It is represented by the letter "k." A greater value of k indicates that more pressure is necessary t extend it a given distance than would be necessary to stretch a spring with a lower stiffness a similar distance.
F = mg
k = ( 1.9) (9.81) = 18.639N
F/x =18.639 /0.09 =207.1. N/meter
What does spring bring every year?F = -kx. The spring constant, k, is a proportional constant. It gauges how firm the spring is. When a spring is compressed or extended to a length that differs by an amount x out of its equilibrium length, it produces a force F = -kx that pushes it back towards its equilibrium position.
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The correct question is
A 9.0-cm-long spring is attached to the ceiling. when a 1.9 kg mass is hung from it, the spring stretches to a length of 15 cm . you may want to review ( pages 219 - 221) . part a what is the spring constant k?
How does a diagram show a rock cycle?.
Arrange these three groups in a circle with arrows pointing from igneous to sediment to metamorphism and metamorphism to igneous.
A rock cycle is a process of transforming one type of rock into another. There are three main types of rocks igneous rocks, metamorphic rocks, and sedimentary rocks. It can be melted by magma, eroded by sediments, or compressed and metamorphosed.
Rock circulation is a fundamental concept that describes the transition between three rock types metamorphic igneous and sedimentary rocks. Simply put it is a set of processes that create and transform rock types within the Earth's crust. Rock circulation is a model that describes the formation degradation and regeneration of rocks as a result of sedimentation magma and metamorphism.
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for a real gas to approach the properties of an ideal gas, the pressure should be , the attractions between the gas particles should be , and the temperature should be . {fill in each blank with the word high or low as appropriate.}
For a real gas to approach the properties of an ideal gas, the pressure should be low, the attraction between the molecules should be high and temperature should be high.
An ideal gas is defined as a gas that obeys gas laws at all pressure and temperature conditions. Ideal gases have velocity as well as mass. They have no volume.The ideal gas law is the equation of the state of a hypothetical ideal gas, also called the general gas equation : pV=nRTwhere, p= pressure
V= volume
n= number of moles
R= ideal gas constant
T= temperature
When molecules are almost in contact and for ideal gas the assumption is that there are negligible attractive forces between gas molecules.Real gases show ideal behaviour when conditions of temperature and pressure are such that the intermolecular forces are practically negligible.This can only happen at very low pressure and very high temperature.To know more about gases visit:
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a baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground. how tall is the building? [neglect friction.]
If a baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground, the height of the building would be 47.1 m.
According to Newton's second law of motion,
[tex]s=ut+\frac{1}{2}at^{2}[/tex]
Where, s is the distance covered by the body, u is its initial velocity, t is the time taken by the body, and a is the acceleration of the body.
Here, the distance covered will be equal to the height of the building.
Since the ball was dropped, its initial velocity will be zero.
Also, the acceleration of the ball is the acceleration due to gravity, [tex]g=9.8 m/s^{2}[/tex].
Substituting the values,
[tex]h=0+\frac{1}{2} gt^{2}[/tex]
[tex]h=\frac{1}{2} \times9.8\times3.1^{2}[/tex]
[tex]h=47.1m[/tex]
Therefore, the height of the building would be 47.1 m.
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If the density of an object is 8 g/cm3 and the mass is 200 g. What is the volume of the object.
The volume of the object will be [tex]25 cm^{-3}[/tex]. Volume is calculated by dividing, the given mass by an object's density.
What is Density?
It is the mass per cubic centimetre of volume, which is represented by either rho (ρ) or d.
What is Mass?
It shows the measurement of matter in a body. Units used in its calculation are in grams [tex](g)[/tex] or kilograms [tex](kg)[/tex].
What is Volume?
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
How to Calculate Volume?
According to the formula of density (d), [tex]M[/tex][tex]=[/tex] Mass of the object, [tex]200 g[/tex], and [tex]V=[/tex] Volume of the object, [tex]8 gcm^{-3}[/tex]:-
[tex]d= M/V\\8 g cm^{-3} = 200 g/V\\\\V=200g/8g cm^{-3} \\V= 25 cm^{-3}[/tex]
The volume of the object is [tex]25 cm^{-3}[/tex].
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how does aggregate size influence the coefficient of permeability of concrete? list other factors that determine the permeability of concrete in a structure.
The use of high-quality aggregates reduces permeability. Concrete has a higher degree of permeability if more porous aggregates are employed. The permeability of concrete is also increased by using larger aggregate.
As a result, mixes with larger nominal maximum aggregate sizes have a greater potential for high permeability than mixes with smaller nominal maximum aggregate sizes at the same air void level. Values of critical densities for various nominal maximum aggregate sizes.
The Permeability's Function-
The rate of moisture penetration is governed by permeability. Lower durability is associated with higher permeability. Additionally, a high permeability will result in a reduction in watertightness.The use of high-quality aggregates reduces permeability.To know more about permeability
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Which of the following best describes an example of normative social influence? a. Carrie is studying with a group of friends. When comparing answers on the practice test, she discovers that they all answered the question differently than she had. Instead of speaking up and telling them she thinks the answer is something else, she agrees with their answer because she figures they must be right. b. Samantha is supposed to bring a bottle of wine to a dinner party she is attending. She doesn't drink wine herself but figures she can just ask the store clerk for advice on what kind to buy c. Miranda is out to lunch with her boss and coworkers. Her boss tells a joke that makes fun of a certain ethnic group, and everyone else laughs. Miranda doesn't think the joke is funny but laughs anyway. d. Charlotte is flying on an airplane for the first time. She is worried when she hears the engine make a strange noise but feels better after she looks at the flight attendants and sees that they are not alarmed.
The flight attendants are a good example of normative social influence because they are people who are experts in the situation and Charlotte trusts them to know what is going on. She sees that they are not alarmed by the noise, so she assumes that it is not a big deal and relaxes.
d. Charlotte is flying on an airplane for the first time. She is worried when she hears the engine make a strange noise but feels better after she looks at the flight attendants and sees that they are not alarmed.The Power of Normative Social InfluenceWhen it comes to social influence, there is a lot of power in conformity. We often conform to the norms of our social groups in order to fit in and feel like we belong. In some cases, this can lead to us going along with things that we don't actually believe in or agree with.
However, there are also times when conformity can be a good thing. For example, if you are in a new situation and you are not sure what to do, it can be helpful to look to the people around you to see how they are behaving. This can give you a good idea of what the social norms are and help you to avoid doing anything that would be considered inappropriate.
In conclusion, normative social influence is a powerful force that can lead us to both good and bad decisions. It is important to be aware of its influence so that we can make sure that we are making the choices that are right for us.
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Which equation represents a line that passes through 9 3 and has a slope of 6?.
The equation the represent the line that passes through (9, 3) and jada slope 6 is 6X-Y = 51.
The equation of the line that passes through the point (a, b) and has a slope m will have the equation as follows,
(Y-b)/(X-a) = m
Here in this case,
The line is passing from the point (9, 3) and has slope 6.
So, we can write the equation of the can be written as,
(Y-3)/(X-9) = 6
Now solving further,
Y - 3 = 6X - 54
6X-Y = 51.
Hence, the required equation of the line is 6X-Y = 51.
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a 1 m long verticle plate is at 80c. the air surrounding it is at 20c at 1 atm. the velocity of air over the plate is 1 m/s.
The velocity of air is 18.60×10⁻⁶m/s.
Film temperature, T f = (Ts+T∞)/2
T f = (80+20)/2
T f = 50°C
T f = 323K
β=1/T
β=1/323
β=3.096×10⁻³
By Interpolation,
v= 15.8g +(20.92-15.89)(323-300)/(350-300)
v=18.60×10⁻⁶m/s.
Velocity is described as a vector measurement of the charge and path of motion. Placed truly, speed is the velocity at which something moves in one course. The velocity of an automobile travelling north on a chief parkway and the velocity of a rocket launching into the area can each be measured using speed.
The distinctive styles of velocities are uniform speed, variable velocity, common pace and immediate pace. Uniform velocity: A body is stated to be shifting with uniform speed if its average pace among any two factors along its course is equal in importance as well as path.
The SI unit of velocity is metre per/sec (m/s). as an alternative, the speed magnitude can also be expressed in centimetres per 2nd (cm/s).
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| an equilateral triangle 8.0 cm on a side is in a 5.0 mt uniform magnetic field. the magnetic flux through the triangle is 6.0mwb. what is the angle between the magnetic field and an axis perpendicular to the plane of the triangle?
The magnetic field forms a 51.8 ⁰C angle with an axis perpendicular to the plane of the triangle.
Define the area of triangle.The total territory enclosed by the three sides of any particular triangle is defined as its area. In general, it is equal to half of the base times the height, i.e. A = 1/2 b h. The sum of a triangle's three interior angles equals 180 degrees. If ABC is a triangle, then A + B + C = 180°, according to this theorem. Theorem 2: An isosceles triangle's base angles are equivalent.
A triangle's total area is equal to half of its base multiplied by its height. The altitude is calculated using the Pythagorean equation.
h=√(8cm)-(4cm)=4/3cm
As a result, the area of a triangle,
A=0.5bh-(0.08m)(4/3x10m)-2.77x 10m
Then, align equation (2) for e to get
e=cos 1
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The variables for part i of this experiment include the types of materials used in the cup, the masses of these materials, and their temperatures over time. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. The two dry sand samples are examined by changing one parameter. The independent variable, the one that is intentionally manipulated between the two samples, is the. Besides the amount of material, there is also another variable that is manipulated within each of the two mass groups and represented as three types. This independent variable is the. In each case, the dependent variable, the one that you measure the response in, is the.
Independent variable is Thermal Energy Transfered
Dependent variable is Types of Material
used
What are independent and dependent variable ?First let us understand what does an independent and dependent variable means
Independent variable is The variable that doesn't changes with the change in other variables and they are not affected by their changes.
Dependent variable are The variable
that changes with the change in other variables and they are affected by their changes
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Answer:
Explanation:
1. mass of each sample
2. type of material used
3. temperature over time
edge 2022
a bicycle and its rider together has a mass of 83 kg. what power output of the rider is required to maintain a constant speed of 5.0 m/s (about 11.2 mph) up a 5.0% grade (a road that rises 5.0 m for every 100 m along the pavement)? assume that frictional losses of energy are negligible.
The output power of the rider that is required to maintain a constant speed is 4,067 J/s.
What is the output power of the rider?While input power refers to the amount of energy put into a device, the output power refers to the amount of energy that comes out.
Also, power is the rate at which energy is dissipated or consumed or given out.
The output power of the rider that is required to maintain a constant speed of 5.0 m/s (about 11.2 mph) up a 5.0% grade (a road that rises 5.0 m for every 100 m along the pavement) is calculated as follows;
P = Fv
P = mgv
where;
m is the mass of a bicycle and its rider togetherg is acceleration due to gravityv is velocity of the riderP = 83 kg x 9.8 m/s² x 5 m/s
P = 4,067 J/s
Thus, the output power of the rider that is required to maintain a constant speed depends on the mass, acceleration due to gravity and velocity of the rider.
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derivation of moment of inertia: derive equation (2) from the sum of torques and sum of forces equations.
derivation of moment of inertia from the sum of torques and sum of forces equation is I=mr(g-rα(net)/ α(fr) + α(net)
In physics, a moment of inertia is a quantitative measure of a body's rotational inertia—that is, the body's resistance to having its speed of rotation about an axis altered by the application of a torque (turning force).
Torque on system = (mg) x r - (m xa)x r -
a = rα(net) (the relationship between linear and rotational acceleration)
SO, T = mgr - mr2 α(net)
Torque is also given by T = I α
here α =α(fr) + α(net)
Hence α(fr) + α(net)= mgr - mr2 α(net)
I=mr(g-rα(net)/ α(fr) + α(net)
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Describe in words how the nucleus of an atom changes when it undergoes alpha decay.?
I just need a brief description
Alpha decay is a type of nuclear decay occurring by the emission of alpha particles. Thus the nuclei changes to a new nuclei with mass number decreased by 4 units and atomic number decreased by 2 units from the parent atom.
What is nuclear decay?Nuclear decay is the process of radioactive decay of unstable isotopes to form its stable isotopes or new nuclei. Unstable atoms undergo nuclear decay by the emission of alpha or beta particles or by electron capture.
In alpha decay, an alpha particle that is a helium nuclei is emitted with the new nuclei where the mass number reduces by 4 and atomic number reduces by 2.
For instance consider the alpha decay of carbon -14 produces stable beryllium -10 with an alpha particle.
[tex]\rm _{6}^{14}C \rightarrow _{10}^{4}Be + _{2}^{4}He[/tex].
Similarly in beta decay, an electron is emitted where the atomic number increases by one and mass number does not change.
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if you are at the edge of a cliff and you throw one ball downward and another ball upward at the same speed. which will hit the ground at a higher speed
Since they both have the same starting PE and KE, they would be the same according to the supplied statement.
A Speed question and answer is what?Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed is a constant of proportionality since it just has a component and no magnitude.
How do you answer a question about speed?Speed is calculated by dividing the distance traveled by the amount of time it required to get there. Divide the distances by the speed to find the passing time. Combine the speed by the time to find the distance. These equations may appear shortened as s=d/t
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