The distance covered by Tiana is greater than the distance covered by the brother.
What is distance?Distance is defined as the quantity that defines how far or near an object is from an observer which is normally measured in meters, kilometers and feet.
There are various ways by which distance can be measured which include the following:
Pacing,Odometer,Taping or "chaining," and Stadi.From the scenerio created concerning Tiana and the brother, Tiana first left the doctors office to her friends house and they both left together to the school.
This shows that the distance covered by Tiana is greater than the distance covered by her brother.
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you and your roommate are riding on a large carousel. you are standing near the center. your roommate is standing near the outside edge. who has the greatest angular velocity?
You and your friends are revolving at the same speed. As a result, your friend and you both have the same angular velocity.
Now that we have the formula for linear velocity—V = omega—we can move on to the following section and draw the conclusion that if the relationship between and grows, so will we.
From here, we may also infer that the radius is larger in this instance because you are close to the right edge. Since you and your friend have different linear velocities and you have the higher linear velocity. If you've ever actually been on a merry-go-round, you already know that being on the edge is considerably more enjoyable rotation than being in the centre.
However, there is a similarity between the two people who are moving about. In the same amount of time, they will each cover the same rotation. The term "angular velocity" refers to a speed that measures the angle of rotation over a specified period of time.
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put the appropriate word or phrase in each blank. do not use numbers. an object that absorbs all radiation that falls on it has an emissivity with a value of and is called a .
An object that absorbs all radiation that falls on it has an emissivity with a value of 1 and is called a blackbody.
Thermal radiation is emitted by every item above absolute zero. The amount of thermal radiation emitted, however, is a function of the emissivity of the object's surface for any given wavelength and temperature.
Emissivity is defined as the ratio of energy emitted from a material's surface to that emitted from a blackbody, a perfect emitter with the same temperature, wavelength, and viewing conditions. Between 0 and 1, it is a dimensionless number.
In addition to the material, a surface's emissivity is also influenced by its composition. An oxidized and roughened metal surface, for instance, will have a greater emissivity compared to a clean and polished metal surface. Emissivity is defined as the ratio of radiation emitted from an item to that emitted from a blackbody when the temperatures and wavelengths are observed under identical conditions.
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an initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 n. the coefficient of static friction between the box and the floor is 0.35. (a) what should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation?
a. Angle between the cable and the horizontal in order to pull the greatest possible amount of sand is θ= 19.29° b. weight of sand and box is M= 34 kgs where coefficient of static friction is 0.35.
An object experiences static friction when a force is applied to it; as a result, the object resists the applied force and stays at rest until static friction is removed. In kinetic friction, the frictional force opposes an object's motion. While surfaces at rest with respect to one another experience static friction. Static friction is defined as the difference between zero and the minimum force required to initiate motion. The minimum force needed to initiate motion or dissipate static friction is always greater than the coefficient of friction, which is the ratio between the force preventing motion between two surfaces in contact and the normal force holding them together. The Greek letter mu () is commonly used to represent it.
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A 10,000 N elevator is going upward and gaining speed. It is pulled upward by 4 steel cables, each exerting a 4,000 N tension force. What’s the net force?
The combined weight of the elevator box and the passenger riding inside it acts as the pulling force on the wires in an elevator. Therefore, in a perfect world, the cable's tension would match the elevator's weight when it is at rest.
How can I determine an elevator cable's tensile force?
Total tension is equal to the weight plus the force of acceleration when lift is upward. Total tension equals the difference between weight and force caused by acceleration as lift decreases.
In medium lengths, tension exerts its force, especially in flexible materials like rope or cord. The force of tension is still a gravitational force. When the body moves.
The net force is the total of all forces acting on an object. According to Newton's Second Law, there must be a net force exerted on an item in order for it to accelerate. If an object's net force is zero, it is said to be in equilibrium and not moving forward.
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A florist has one kind of plant that usually has red flowers (the dominant trait), but sometimes has white flowers (the recessive trait). If she crosses plants A and B as shown here, 50% of the offspring will have red flowers.
Answer:
See below
Explanation:
The red flowering plant must be heterozygous with a dominant R gene and a recessive w gene......the white will have w w (homozygous)
R w
w wR (red) ww(white)
w wR (red) ww(white ) 50% red 50% white
calculate the buoyant force due to the surrounding air on a man weighing 800 n . assume his average density is the same as that of water. suppose that the density of air is 1.20 kg/m3 . express your answer to two significant figures and include the appropriate units.
0.96 Newton is the buoyant force due to the surrounding air on a man weighing 800 n .
buoyant force = weight of equal volume of air
= Volume×density of air × g = Weight of man × density of air /density of man
Density of air at 0 degrees celsius = 1.20 kg/m^3
Buoyant force = 800 ×1.20 /1000 = 0.96 N
When a body is totally or partially submerged in a fluid, there is an upward push force on the body known as buoyant force. The buoyant force always moves in a vertical direction. This force has no horizontal component, which is zero. The center of buoyancy is the location where the buoyant force acts. Large hot gas balloons may soar into the sky and ships can float on the water's surface because to this power.
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a light bulb is designed to operate at a voltage 3 v and provide a power 1.93 w. unfortunately, you just have a voltage source (assume ideal) of 15 v. you can make the light bulb operate at its designed voltage and power by putting a resistor in series with the light bulb.
Simply connect the battery's positive terminal to one of the electrical contacts on your light bulb and its negative terminal to the other.
Many lightbulbs have one electrical contact with screw threads, while the other contact is typically a circular dot on the base end. Other bulbs will protrude metal prongs. Soldering wires onto batteries and lights is infamously difficult to achieve adequate electrical contact. In flashlights, the spring contacts function significantly better (but even they are troublesome from time to time).
It's crucial to choose a bulb that works with the amount of power your battery can supply. The bulb's filament won't grow hot enough to visibly glow if the battery voltage is too low, resulting in a tiny current flowing through the bulb. If the battery voltage is too high, the filament will burn out due to the excessive current flow.
The filament will become overheated and evaporate if the battery has a voltage that is too high.
Standard bulbs require a voltage of about 120 V to operate, which is an uncommon range for batteries. Ordinary flashlight bulbs require roughly 3V to operate, which is simple to acquire by connecting two batteries in series. Typically, automotive bulbs are made to operate with 12V, which is the output of an automobile battery or eight conventional battery cells connected in series.
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co-generation: a simple rankine cycle produces 40 mw of power, 50 mw of process heat and rejects 60 mw of heat to the surroundings. what is the utilization factor of this cogeneration cycle neglecting the pump work?
60 % is the utilization factor of this cogeneration cycle neglecting the pump work of a simple rankine cycle
data sent A straightforward Rankine cycle generates 40 MW of electricity, 50 MW of process heat, and 60 MW of heat waste that is released into the environment.
rankine cycle produces 40 MW of power,
50 MW of process heat
60 MW of heat to the surroundings
Total = 40 + 50 + 60 = 150 MW
Utilized = 50 + 40 = 90 MQ
Usefulness of this cogeneration cycle = 90/150 * 100= 60 %
Usefulness of this cogeneration cycle = 60 %
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An in-line skater first accelerates from 0.0m/s to 5.0m/s in 4.5s, then continues at this constant speed for another 4.5 s. What is the total distance by the in line skater
The total distance traveled by the in-line skater is equal to 33.75m.
What are equations of motion?Equations of motion are the collection of equations that depicts the relationship between the velocity, distance, time ad acceleration of an object. We can use these equations of motion to calculate these parameters for a body in motion.
Given, the initial speed of the skater, u = 0
The final speed of the skater, v = 5m/s
The distance covered by the skater is d₁ in the time t₁ and with d₂ in the in time t₂.
[tex]d = d_1 + d_2[/tex]
By using the first equation of motion to calculate the acceleration:
v = u + at
5 = 0 + (4.5)×a
a= 1.11 m/s²
The distance covered in time t₁ = 4.5 sec by the skater:
v² = u²+ 2ad₁
(5)² = 0 + 2×(1.11)×d₁
d₁ = 11.25m
In the second interval t₂ = 4.5 sec, distance: d₂= vt₂
d = (5)×(4.5) = 22.5 m
The total distance covered by in-line skater, d = 22.5 + 11.25 = 33.75 m
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(c) Jika kelajuan kereta digandakan, tenaga kinetik kereta akan bertukar sebanyak berapa faktor? If the speed of a car is doubled, by what factor does the kinetic energy of the car change? KBAT
Answer:
W₂ / W₁ = 4
Explanation:
Given:
m
V₁ = V
V₂ = 2·V
_________
W₂ / W₁ - ?
Kinetic energy of the car:
W₁ = m·V₁² / 2 = m·V² /2
W₂ = m·V₂² / 2 = m·(2·V)² /2 = 4·m·V² / 2 = 4·W₁
W₂ / W₁ = 4·W₁/ W₁ = 4
Kinetic energy increased 4 times
A body is under reaction two forces 6n and 8n find the resultant of two forces if (a) the forces are parallel and act in the same direction (b) the forces are parallel and act in the same direction
The net force of parallel force act in the same direction is 14 N.
We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as
R = F1 + F2 + ... + Fn
where R is force resultant (net force)
From the question above, we know that
F1 = 6 N
F2 = 8 N
Because the direction is the same, the force will add to each other.
R = F1 + F2
R = 6 + 8
R = 14 N
Hence, the net force is 14 N
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21. Explain why a passenger who is not wearing a safety belt will likely hit the windshield in a head-on collision. please answer in full sentences
A car is traveling driving at 80 km/h when the driver sees an accident 50 meters ahead and applies the brakes. What constant deceleration is required to stop the car in time to avoid hitting the vehicles ahead? express your answer in m/s2.
We have,
Initial velocity, u= 80 km/h
Final velocity, v= 0km/h
Distance, s= 50m
= 0.05km
Using relation, [tex]v^{2} = u^{2} + 2as\\[/tex]
We get,
[tex]0^{2} = 80^{2} + 2a(0.05)\\[/tex]
[tex]0 = 6400 + 0.1a[/tex]
[tex]-6400 = 0.1a[/tex]
∴ [tex]a = \frac{-6400}{0.1}[/tex]
[tex]a = - 64000[/tex][tex]km/h^{2}[/tex]
To convert the answer into [tex]m/s^{2}[/tex] we have to multiply the answer by [tex]\frac{1000}{3600^{2} }[/tex]
∴ [tex]a = -64000[/tex] × [tex]\frac{1000}{3600^{2}}[/tex]
⇒ [tex]a= -4.9382[/tex][tex]{m/s^{2}[/tex]
The deceleration required to stop the car in time to avoid hitting the vehicles ahead is [tex]4.9382[/tex][tex]m/s^{2}[/tex].
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Drag each statement to the correct location on the table. Match the characteristics with the states of matter.
Solid - has a definite shape and volume and changes to liquid on heating. Liquid - has definite volume but does not have a definite shape and changes to solid on cooling. When cooled, a gas transforms into a liquid but has no fixed shape or volume.
What is state of matter?State of matter is defined as the physical classification of matter divides stuff into solids, liquids, and gases.
Matter transforms into a state of matter when energy is added or subtracted from it.
Thus, Solid - has a definite shape and volume and changes to liquid on heating. Liquid - has definite volume but does not have a definite shape and changes to solid on cooling. When cooled, a gas transforms into a liquid but has no fixed shape or volume.
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Your question is incomplete, but probably your complete question was
Drag each statement to the correct location on the table.
Match the characteristics with the states of matter.
does not have
a definite shape
or volume
has definite volume
but does not have a
definite shape
has a definite shape
and volume
changes to liquid
on heating
changes to liquid
on cooling
changes to solid
on cooling
Solid
Liquid
Li
Gas
a ball of mass 0.484 kg moving east ( x direction) with a speed of 3.78 m/s collides head-on with a 0.242 kg ball at rest. assume that the collision is perfectly elastic.what is be the speed of the 0.484- kg ball after the collision?
The collision is perfectly elastic, so the speed of the 0.484- kg ball after the collision will be 5.66 meter per second.
We have a ball; the mask's mass should be 0.440 kg. Additionally, it is moving at a speed of 3.80 middle birth seconds. So it grapples with another ball that has a mask head-on. MB 20.220 Kg. B = 0 because it was at rest, so we will get B. They are now claiming that this collision was flawlessly elastic. Therefore, following a collision, we must determine the speed and direction of each ball. Therefore, we can now write V A minus we B is equal to minus V A dash minus V B using the relationship between the velocities. Where we are, dash, then B B dash R.
The speeds of ball and ball B following impact. As VB is already zero, the formula for V B dash will now be V A + V a dash. Therefore, we will now use the law of conservation of momentum. Therefore, we can write MAN for elastic collisions in accordance with the law of conservation of momentum. Two M A N is equivalent to two V A plus MB divided by VB. Do be two VB dashes plus an MB. V B was now equal to 0. The result of this expression will be zero. As a result, once we get em A there, M A V A dash plus M B will end. And we'll just add VA plus VA dash for the value of the vb dash.
Now that we have all the values, we can simply enter them. For example, a dash will represent MA- MB, which is 0.440 -0.22. subtract 0.440 add 0.22 multiplied by the first ball's velocity, which is 3.80. Hence We discover the first ball's velocity value. After elastic collision, two is equal. Be a dash that is 266 metres long and lasts one second in the east. Therefore, we must now determine the value of the vb dash. As a result, vb dash equals B plus we're dash. Therefore, we have both values. In light of this, we determine that B B dash equals two 3.80 + 1.266. We now have the speed for B B dash, which is 5.66 metres per second in the same direction as before.
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Calculate the displacement of a sine wave in mm of Time Period of 2 seconds and amplitude 8 cm, 0.3
seconds after the commencement of the wave.
The displacement of the sine wave in mm is determined as 75.36 mm.
What is angular displacement of a wave?
Angular displacement is the angle made by the body from its point of rest at any point in the rotational motion.
The angular speed of the wave is calculated as follows;
ω = 2π/T
where;
T is the period of the wave = 2 sω = 2π/2
ω = π rad/s
The angular displacement of the wave is calculated as follows;
ω = θ/t
θ = ωt
where;
t is time of motion of the wave = 0.3 sθ is angular displacementθ = ( π rad/s) x (0.3 s)
θ = 0.3π rad/s = 0.942 rad
The displacement of the wave in mm is calculated as follows;
Δx = θA
where;
A is the amplitude of the wave = 8 cm = 80 mmΔx = 0.942 rad x 80 mm
Δx = 75.36 mm
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suppose that the stone is launched with a speed of 3 m/s and travels 40 m before coming to rest. what is the approximate magnitude of the friction force on the stone? 0 n 2 n 20 n 200 n
The approximate magnitude of the friction force of the stone is 2N.
Given values:
Mass(m)= 20 Kg
Velocity(v)= 3m/s
Distance(x)= 40m
Kinetic energy is given by the expression:
[tex]Ek=1/2mV^{2}\\ Ek=1/2*20Kg*(3m/s)^{2} \\Ek=90J[/tex]
If we divide the kinetic energy by the distance traveled we get the friction force:
[tex]Ff=Ek/x\\Ff=90J/40m\\Ff=2.25N[/tex]
Approximate magnitude of the friction force is: [tex]Ff=2N[/tex]
Result is 2N.
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a skipper on a boat notices wave crests passing his anchor chain every 6.5 s. he estimates the distance between wave crests to be 15 m. he also correctly estimates the speed of the waves. what is this speed?
The speed of the wave will depend on the wave crest and anchor chain passing time.
What is Speed?
Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.
Given,
Distance= 15m
Time=6.5sec
Speed=?
We know that speed = Distance/ time
v= 15/6.5
speed, v= 2.30 m/s
Hence, the speed of waves is 2.30m/s
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the system in fig. 3.1 is in equilibrium with the string in the center exactly horizontal. find (a) tension t1, (b) tension t2, (c) tension t3 and (d) angle θ.
The system in fig. 3.1 is in equilibrium with the string in the center exactly horizontal.
T_1=48.83NT_2=28.01NT_3=57.31NФ=29.26This is further explained below.
What is tension?Generally, Tension is defined as the pulling force that is transmitted axially by the means of a string, a cable, chain or another object of a similar nature, or by each end of a rod, truss member, or another object of a similar three-dimensional nature.
Alternatively, tension can be defined as the action-reaction pair of forces that act at each end of the elements in question.
[tex]\begin{aligned}&T_1 \cos 35=40 \\&T_1=48.83 \mathrm{~N} \\&T_2=T_1 \sin 35 \\&T_2=28.01 \mathrm{~N}\end{aligned}[/tex]
[tex]\begin{aligned}&T_3 \cos \theta=50 \\\\&T_3 \sin \theta=T_2=28.01 \\\\&\tan \theta=\frac{28.01}{50} \\\\&\theta=\tan ^{-1}\left(\frac{28.01}{50}\right) \\\\&\theta=\frac{29.26}{}=\frac{50}{\cos \theta} \\\\&=\frac{50}{\cos 29.26}=57.31 \\\\&T_3=57.31 \mathrm{~N}\end{aligned}[/tex]
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what is meant by the term atmospheric window as applied to the emission of ir from the earth’s surface? what is the range of wavelengths of this window?
The area of the IR spectrum where there is only marginal light absorption is known as the atmospheric window. This is the measurement range 8 to 13 mm.
Wireless transmissions flow along a spectrum, which is a term for the undetectable radio frequencies. These signals let us to do everything on our mobile devices, including making calls from them, tagging people on social media, calling Uber, getting directions to a location, and more.Only a small percentage of what is known as the electromagnetic spectrum is used by wireless frequencies.
Other frequencies that we encounter on a regular basis are included in the complete electromagnetic spectrum, even if we are not aware of them. From primary school, you might recall ROYGBIV. That's an acronym for the hues that make up the visible spectrum, or the spectrum that we can see. Other portions of the spectrum carry broadcast radio and television or carry out other commonplace tasks.The fact that cellular communications can use a variety of spectrum frequencies means that various bands have marginally different properties.
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A small, private airplane is carrying three passengers to an island. The plane is 0.9 km in
the air. If the potential energy of the plane and its three passengers is 48,510,000 J, what is
the combined mass of the plane and its passengers? Round your answer to the tenth place.
Convert the height in km to m.
Rearrange the formula to solve for mass.
Use the formula to solve for the mass of the plane and passengers.
The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy.
The mass of the plane and passenger is 5494.4 kg
What is potential due to gravity?The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy).following equation: Potential energy U=m g h
Where:
m = mass [kg]
g = gravity = 9.81[m/s^2]
h = elevation = 0.9 [km]
m= u/ (gh)
m = 48,510,000 / (9.81 x .9)
m= 5494.4 kg.
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3. A museum curator moves artifacts into place on various different display
surfaces. Use the values in Table 2 to find Fs,max and Fx for the following
situations:
a. moving a 145 kg aluminum sculpture across a horizontal steel platform
b. pulling a 15 kg steel sword across a horizontal steel shield
c. pushing a 250 kg wood bed on a horizontal wood floor
d. sliding a 0.55 kg glass amulet on a horizontal glass display case
"
Answer: we are given the mass of an aluminum sculpture which is 145 kg and a horizontal force equal to 668 Newtons. The coefficient of friction can be determined by dividing the horizontal force by the weight of the object. In this case, 668 N / 145 * 9.8 equal to coeff of friction of 0.47
Determine the cross-sectional area of a copper conductor if its resistance is 0.2 ohm and its mass is 0.2 kg. So:
R=0.2 Ohm, m=0.2 kg, ρ=0.017 m²/m, S=?
The cross-sectional area of a copper conductor if its resistance is 0.2 ohm and its mass is 0.2 kg is 61.7 m²
Considering the conductor is a wire,
Density = m / V
V = A l
ρ = R A / l
m = Mass
V = Volume
l = Height / Length
R = Resistance
ρ = Resistivity
R = 0.2 Ω
m = 0.2 kg
ρ = 0.017 Ω m
Density of copper = 8.96 * 10³ kg / m³
V = 8.96 * 10³ / 0.2
V = 44.8 * 10³ m³
A l = 44.8 * 10³
l = 44.8 * 10³ / A
ρ = R A / l
0.017 = 0.2 A / l
l = 0.2 A / 0.017
Equating both the values of l,
44.8 * 10³ / A = 0.2 A / 0.017
761.6 = 0.2 A²
A² = 3808
A = 61.7 m²
Therefore, the cross-sectional area of a copper conductor is 61.7 m²
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A hockey puck with an initial speed of 8.0 m/s coasts 45 m to a stop across the ice. If the force of friction on the
puck has a magnitude of 0.12 N, what is the puck's mass?
Answer:
[tex]\boxed{m = 0.16875 \;kg}[/tex]
Explanation:
The work done by a constant force F Newtons on a mass of m kg over a distance of d m at an acceleration of a m/s² is given by the equation:
[tex]W = F\cdot d[/tex]
This should be equal to the kinetic energy expended
[tex]KE = \dfrac{1}{2}m v^2[/tex]
By the law of conservation of energy,
W = KE
[tex]F\cdot d = \dfrac{1}{2}m v^2[/tex]
Given v = 8 m/s, F = 0.12N and d = 45m
[tex]0.12 \times 45 = \dfrac{1}{2} \times m \times 8^2[/tex]
[tex]5.4 = 32m[/tex]
[tex]m = \dfrac{5.4}{32}\\\\\boxed{m = 0.16875 \;kg}[/tex]
A hockey puck with an initial speed of 8.0 m/s coasts 45 m to a stop across the ice. If the force of friction on the puck has a magnitude of 0.12 N the puck's mass is 0.16875 Kg
What is work?Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance travelled for a constant force directed in the direction of motion.
The work done by a constant force F Newtons on a mass of m in kg over a distance of d in m at an acceleration of a m/s² is given by the equation:
This should be equal to the kinetic energy expended
K E = 1/2 m.v²
work, W = F.d
By the law of conservation of energy,
W = K E
Given v = 8 m/s, F = 0.12 N and d = 45 m
0.12* 45 = .5*m*8²
mass, m = 0.16875 Kg
A hockey puck with an initial speed of 8.0 m/s coasts 45 m to a stop across the ice. If the force of friction on the puck has a magnitude of 0.12 N the puck's mass is 0.16875 Kg
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Can you please help me with this question no 15 ?? Anyone please
The weight of the object in the newly heavenly body is 3000 N.
In science and engineering, the weight of an object is the pressure performed on the item due to gravity. a few widespread textbooks outline weight as a vector quantity, the gravitational pressure performed on the item. Others define weight as a scalar quantity, the significance of the gravitational pressure.
Given,
mass of earth = M
mass of new heavenly body = 12 M
the radius of the earth = r
the radius of the new heavenly body = 4r
mass of the object = m (mass always remains constant)
[tex]\frac{mM}{r^2}[/tex]
using the formula of gravity,
G₁ = g[tex]\frac{mM}{r^2}[/tex]
G₂ = g[tex]\frac{m12M}{4r^2}[/tex]
comparing G₁ and G₂
G₁ = 1000 N given
G₁ / G₂ = M × 4r² / 12 M r²
G₂ = 1000 × 12 / 4
= 3000 N
The measure of the pressure of gravity performing on a frame. The method for weight is given by using: w = mg. As weight is a force its SI unit is also the same as that of pressure, the SI unit of weight is Newton (N).
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a skipping rope under constant vibration has a 5.0 cm amplitude and an 8.0 s period. What vertical position is the rope at when t = 5.0 s? b) Find two times when that same rope's position is +2.0 cm
The Vertical position of the rope at 5 seconds is 5.7cm and the times at which its position is +2cm is 0.311 seconds and 3.66 seconds.
The position of a rope can be described by a simple sin function,
x = Asin(2πt/T)
where,
x is the position at time t,
t is the time,
T is the total time period of oscillation,
A is the amplitude,
a) The vertical position at t = 5 seconds can be found by using the above formula by putting the values,
Amplitude is 5cm.
Time period is 8 seconds,
So, putting values,
x = Asin(2πt/T)
x = 8sin(2π5/8)
x = 8sin(5π/4)
x =8(-0.70)
x = 5.7 cm.
b) Now, putting x = 2cm and solving,
2 = 8sin(2πt/8)
1/4 = sin(πt/4)
sin(Ф) = 1/4
when Ф = 14° and 165° (approximately)
Converting these into radians,
1 degree = π/180
14° = 14π/180 radians
165° = 165π/180 radians
Putting Ф = 14π/180
14π/180 = πt/4
t = 0.311 seconds
Now, putting Ф = 165π/180,
165π/180 = πt/4
t = 3.66 seconds.
So, we got two values of t, 0.311 seconds and 3.66 seconds..
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you go out stargazing one night, and someone asks you how far away the brightest star we see in the sky without a telescope are. what would be a good, general response?
The brightest star's name within the nighttime sky is Sirius at value. It is also known as Alpha Canis Majoris and is typically referred to as the canine megastar.
It resides in the constellation of Canis fundamental. Sirius is eight.6 mild years far away from us, close enough to be the brightest superstar in our night skies. When you examine a star, you are looking at the mild that got here from the megastar. due to the fact stars are so far away, it takes years for their mild to reach us. consequently, whilst you take a look at a star, you are surely seeing what it gave the impression of years in the past.
The brightest megastar inside the nighttime sky is the Sirius star. in keeping with NASA, it is over 20 instances brighter than our solar and two times as big, although it may not seem that manner to the bare eye. The maximum commonplace way to measure the distance to a celebrity is by way of the use of the parallax approach. this is wherein an astronomer will take note of the big name's role within the nighttime sky and then degree it again six months later.
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A pilot drops a bottle out an airplane. If the plane was flying at an altitude of 500 m
and the bottle lands 400 m horizontally from the initial dropping point, how fast was
the plane flying when the bottle was released?
The plane was flying at 39.6 m/s when the bottle was released .
[tex]h = ut + 1/2at^2[/tex]
distance fallen h= 500m
Initial velocity u=0
a=98 m/s2
[tex]h = 1/2at^2[/tex]
[tex]t^2 = 2h/a[/tex]
[tex]t^2 = 1000/9.8 = 10.1s[/tex]
[tex]d_h = 400, t = 10.1s[/tex]
[tex]v = d_h/t\\v = 400/10.1[/tex]
v = 39.6 m/s
What is Altitude ?
Altitude or Height (also known as depth) is a measurement of the distance between a reference point and a point or object, usually in a vertical or "upward" direction. The exact definition and reference value varies depending on the context (eg, aeronautics, geometry, geodesy, sports, or barometric pressure). Although the term height is often used to refer to the height of a place above sea level, in geography the term height is often preferred for this use.
The vertical measurement of distance in the "down" direction is usually called depth.
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Sometimes, when energy is added to a solid, it undergoes____
Answer:
A phase change
Explanation:
If i understand the question correctly it should undergo a phase change e.g melting
while at the county fair, you decide to ride the ferris wheel. having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. to take your mind off your stomach, you wonder about the motion of the ride. you estimate the radius of the big wheel to be 15 m, and you use your watch to find that each loop around takes 25 seconds.
a. Your speed will be 0.0628 m/s
b. The magnitude of your acceleration is 0.000263 m/s2
c. The ratio of your weight at the top of the ride to your weight while standing on the ground is 99.997%
d. The ratio of your weight at the bottom of the ride to your weight while standing on the ground is 100.003%
Using the data given above,
Where:
Radius = 15 m
Time for each loop = 25 minutes (25*60 = 1500 seconds) to complete.
a. To find the speed, which is the length of each loop per unit of time to complete each loop, we use the equation for uniform velocity v where:
v = C/t
Where:
Circumfrence of the ferris wheel; C = ?
Time to go round; t = 1500s
Circumference of the Ferris wheel would be:
C = 2πR = 2π*15 = 94.25 m
v = 94.25 / 1500
v = 0.0628 m/s
b. Since the circular motion is constant, the only acceleration from the motion is the centripetal acceleration. To find the magnitude of acceleration, we use the equation for centripetal acceleration which is:
ac = v²/r
Where:
Velocity; v = 0.0628 m/s
Radius; r = 15
ac = 0.0628/15
ac = 0.000263m/s²
c. Let g = 9.8 ms². At top of the ride, the centripetal acceleration would be pushing you up, while gravity pushes you down, so the weight you experience (compare to standing on ground would be):
g-ac/g
Where
Gravity; g = 9.8ms² (a constant)
Centripetal acceleration; ac = 0.000263m/s²
9.8 - 0.000263/9.8
= 0.99997
= 99.997%
d. At the bottom of the ride, both centripetal acceleration and gravity would be pushing you downward, making you feel like
g+ac/g
Where
Gravity; g = 9.8ms² (a constant)
Centripetal acceleration; ac = 0.000263m/s²
9.8 + 0.000263/9.8
= 1.00003
= 100.003%
Here's the complete question:
While at the county fair, you decide to ride the ferris wheel. having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. to take your mind off your stomach, you wonder about the motion of the ride. you estimate the radius of the big wheel to be 15 m, and you use your watch to find that each loop around takes 25 seconds.
a.What is your speed?
b.What is the magnitude of your acceleration?
c.What is the ratio of your weight at the top of the ride to yourweight while standing on the ground?
d.What is the ratio of your weight at the bottom of the ride toyour weight while standing on the ground?
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