An airplane flies 200 km due west from city A to city B and then 325 km in the direction of 29.5° north of west from city B to city C.(a) In straight-line distance, how far is city C from city A?_____ km(b) Relative to city A, in what direction is city C?_____ ° north of west
We are given the following situation:
Part (a) we are asked to determine the distance from C to A. To do that we will use the cosine law, which is the following:
\(a^2=b^2+c^2-2bc\cos A\)Where angle "A" is the angle opposite to side "a". In the given case, we have that:
\(\begin{gathered} a=D_{CA} \\ b=325k\text{m } \\ c=200km \\ A=x \end{gathered}\)We can determine angle "x" using the fact that it is supplementary to the 29.5° angle, therefore, the add up to 180°:
\(29.5+x=180\)Subtracting 29.5 from both sides we get:
\(\begin{gathered} x=180-29.5 \\ x=150.5 \end{gathered}\)Now we substitute the values:
\(D_{CA}^2=325^2+200^2-2(325)(200)\cos150.5\)We take the square root to both sides:
\(D_{CA}=\sqrt{325^2+200^2-2(325)(200)\cos150.5}\)Solving the operations we get:
\(D_{CA}=508.7\)Therefore, the distance from city C to city A is 508.7 km.
Part (b) We are asked to determine angle "y". To do that we will use the sine law:
\(\frac{\sin A}{a}=\frac{\sin B}{b}\)Where "A" is the angle opposite to side "a" and "B" is the angle opposite to side "b".
Now, we substitute the values:
\(\frac{\sin150.5}{508.7}=\frac{\sin y}{325}\)Now, we solve for "y". First, we multiply both sides by 325:
\((325)(\frac{\sin(150.5)}{508.7})=\sin y\)Now, we take the inverse function of the sine:
\(\sin^{-1}((325)(\frac{\sin(150.5)}{508.7}))=y\)Solving the operations we get:
\(18.34=y\)Therefore, the direction is 18.34° North of the west.
the pressure at the bottom of a drum in which a liquid is filled up to the height of 2 m is 9000800 PF find the density of liquid field in that drum
The density of the liquid in the drum is 459.184 kg/m³.
To find the density of a liquid, we must know its pressure, the depth to which it is filled, and the gravitational acceleration acting on it. Using the equation for pressure at a depth h below the surface of a liquid in a container of height H, P = ρgh, where P is the pressure, ρ is the density, g is the gravitational acceleration, h is the height of the liquid, and H is the height of the container.Let's substitute the given values in the above formula:P = 9000800 Pa; h = 2m; g = 9.8m/s²Therefore, ρ = P/gh = 9000800/(9.8 × 2) ≈ 459184.
This means that the density of the liquid in the drum is 459.184 kg/m³ (kilograms per cubic meter).
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Which phrase describes what a scientist does?
Answer:
ask questions about the
Explanation:
15 POINTSSS PLS ANSWER
Why can't you determine the EXACT age of a layer of rock by simply observing fossils in a rock layer? What constraints you in making this determination?
To determine the exact age of a layer of rock, geologists typically use radiometric dating techniques such as measuring the decay of radioactive isotopes in rocks.
Why can't you determine the EXACT age of a layer of rock by simply observing fossils in a rock layer?While fossils found within a layer of rock can provide important clues about the age of the rock, they cannot determine the exact age of the layer with precision.
This is because the fossil record is incomplete and fossils found in a layer of rock are unlikely to represent all species that existed during a particular time period.
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Write a short note of the following
a) Reflection
b) Refraction
c) Diffraction
Answer:
a) Light that passes through the floor to reveal yourself (not shadow).
b) 2 rays of light that bounce between 2 transparent media.
c) I don't know what is Diffraction?
5
Find the resultant of the following four forces.
A= 25 N due north
B = 50 N due east
C= 30 N due west
D=40 N due south
25+50-30-40 = 0
north and east are positive directions, south and west are negative
hope this helps
also hope u enjoy a pic of my crush lol
The velocity time graph of an object mass 50 g is shown in figure study graph and answer
1)calculate force acting on object in time interval 0-3 seconds
2)calculate the force acting on the object in the time interval 6-10 seconds
3)Is there any time interval in which no force acts on object.Justify
1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.
2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.
3) There is no time interval in which no force acts on the object.
(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.
In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.
Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2
Acceleration, a = slope= 20/3 m/s^2
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.
Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.
(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.
The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:
Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)
Mass of the object, m = 50 g = 0.05 kg
∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.
Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.
(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.
Therefore, there is no time interval in which no force acts on the object.
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a youthful person run at 7km/h in a north- west direction across the derk of a ship in which is streaming due east at 40 km/h .ifind the velocity of the boy relative to the Sea
ii,And the velocity of the sea relative to the boy
Answer:
velocity of ship wrt sea= 7i∧
velocity of women on deck= 40j∧
velocity of women relative to sea will be resultant of above two velocoties,
7i∧ + 40j∧ magnitude is
square root (7 x 7 + 40x40)
=√49+1600
=√1612
=40.14 m/s
27/13 AL + 4/2 He -> ? + 1/On
Please help!!!!!! What’s the missing species???
The missing species of the nuclear reaction obtained is ³⁰₁₅P
How do i determine the missing species?The missing species of the equation can be obtain as follow:
Let the missing species be ʸₓZNow, we can obtain the value of x, y and Z as follow:
²⁷₁₃Al + ⁴₂He -> ʸₓZ + ¹₀n
For x
13 + 2 = x + 0
15 = x
x = 15
For y
27 + 4 = y + 1
31 = y + 1
Collect like terms
y = 31 - 1
y = 30
For Z
ʸₓZ => ³⁰₁₅Z
From the period table, the element with atomic number of 15 is phosphorus, P. Thus, we have
ʸₓZ => ³⁰₁₅Z => ³⁰₁₅P
Therefore, we can write the complete equation as:
²⁷₁₃Al + ⁴₂He -> ³⁰₁₅P + ¹₀n
Thus, the missing species is ³⁰₁₅P
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Imagine you are a medical examiner who has to perform an autopsy. Research and list the steps you would follow to perform the autopsy.
Imagine you are a medical examiner who has to perform an autopsy. Research and list the steps you would follow to perform the autopsy.
Imagine you are a medical examiner who has to perform an autopsy. Research and list the steps you would follow to perform the autopsy.
Imagine you are a medical examiner who has to perform an autopsy. Research and list the steps you would follow to perform the autopsy.
Imagine you are a medical examiner who has to perform an autopsy. Research and list the steps you would follow to perform the autopsy.
Answer:
general steps of performing an autopsy:
1. The body is identified and the relevant information about the deceased is collected.
2. A visual examination of the body is performed to look for any abnormalities or signs of injury.
3. The external examination is followed by an internal examination. The body is opened up to examine the organs, including the brain, heart, lungs, liver, and kidneys, for any signs of disease or injury.
4. The organs are weighed, measured and dissected.
5. Tissue samples are taken and sent for laboratory analysis.
6. The cause of death is determined based on the autopsy findings, and a report is generated.
7. The body is then closed and prepared for release to the family for funeral arrangements.
It is important to note that the specific steps involved may vary depending on the type of autopsy being conducted and the circumstances surrounding the death.
Explanation:
Explain how applied heat works between and at critial temperature.
Answer:
Gases become more difficult to liquefy as the temperature increases because the kinetic energies of the particles that make up the gas also increase. The critical temperature of a substance is the temperature at and above which vapor of the substance cannot be liquefied, no matter how much pressure is applied.
Part A
Which factors affect the speed of ocean waves?
explain with the use of diagrams the relationship between resistance,resistivity,cross-sectional area,and length of a wire.
Answer:
Ohm's LawPower Revisited
An electron traveling through the wires and loads of the external circuit encounters resistance. Resistance is the hindrance to the flow of charge. For an electron, the journey from terminal to terminal is not a direct route. Rather, it is a zigzag path that results from countless collisions with fixed atoms within the conducting material. The electrons encounter resistance - a hindrance to their movement. While the electric potential difference established between the two terminals encourages the movement of charge, it is resistance that discourages it. The rate at which charge flows from terminal to terminal is the result of the combined effect of these two quantities.
Variables Affecting Electrical Resistance
The flow of charge through wires is often compared to the flow of water through pipes. The resistance to the flow of charge in an electric circuit is analogous to the frictional effects between water and the pipe surfaces as well as the resistance offered by obstacles that are present in its path. It is this resistance that hinders the water flow and reduces both its flow rate and its drift speed. Like the resistance to water flow, the total amount of resistance to charge flow within a wire of an electric circuit is affected by some clearly identifiable variables.
First, the total length of the wires will affect the amount of resistance. The longer the wire, the more resistance that there will be. There is a direct relationship between the amount of resistance encountered by charge and the length of wire it must traverse. After all, if resistance occurs as the result of collisions between charge carriers and the atoms of the wire, then there is likely to be more collisions in a longer wire. More collisions mean more resistance.
Second, the cross-sectional area of the wires will affect the amount of resistance. Wider wires have a greater cross-sectional area. Water will flow through a wider pipe at a higher rate than it will flow through a narrow pipe. This can be attributed to the lower amount of resistance that is present in the wider pipe. In the same manner, the wider the wire, the less resistance that there will be to the flow of electric charge. When all other variables are the same, charge will flow at higher rates through wider wires with greater cross-sectional areas than through thinner wires.
A third variable that is known to affect the resistance to charge flow is the material that a wire is made of. Not all materials are created equal in terms of their conductive ability. Some materials are better conductors than others and offer less resistance to the flow of charge. Silver is one of the best conductors but is never used in wires of household circuits due to its cost. Copper and aluminum are among the least expensive materials with suitable conducting ability to permit their use in wires of household circuits. The conducting ability of a material is often indicated by its resistivity. The resistivity of a material is dependent upon the material's electronic structure and its temperature. For most (but not all) materials, resistivity increases with increasing temperature. The table below lists resistivity values for various materials at temperatures of 20 degrees Celsius.
Nowton's third law refers to 'action reaction forces*. These forces are
always:
equal in magnitude but opposite in direction
Pls give me the answer asap
Raju's statement is not correct fully as it states that uniform motion is seen only in objects traveling in a straight line while ,Tejas is correct in pointing out that uniform motion can also be observed in objects traveling in circular motion.
Uniform motion refers to the movement of an object at a constant speed in a particular direction. In this type of motion, the object covers equal distances in equal intervals of time. Suppose for example (straight line movement), a car moving on a straight road at a constant speed of 60 km/h. If the car maintains this speed without any change in direction, it exhibits uniform motion. Other example is regarding the object moving in circular path where a race car driving around a circular track with a radius of 100 meters. If the car maintains a constant speed of 40 meters per second and completes each lap in the same amount of time, it exhibits uniform motion. Therefore, Tejas' justification is valid, as he states that uniform motion can indeed be observed in objects traveling in circular paths, in addition to objects moving in straight lines.
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Ben (55kg) is standing on very slippery ice when Junior (25kg) bumps into him. Junior was moving at a speed of 8m/s before the collision. Find the speed of ben and junior as they move across the ice after the collision. Give the answer in m/s. Describe the work you did to get the answer
Answer:
2.5m/s
Explanation:
m1=55kg
m2=25kg
Ben's velocity before collision=0m/s
Junior's velocity before collision= 8m/s
P1=m1v1+m2v2
P1=55kg(0m/s)+25kg(8m/s)
P1=200kg(m/s)
Know that the momentum before the collision = momentum after the collision
P2=(55kg+25kg)V
200kg(m/s)=(75kg)V
200kg(m/s)/75kg=V
V=2.5m/s.
It makes sense bc after they collide, their speed would slow down, and it wouldn't make sense if the momentum would be greater or less after they collide.
can y'all put any workouts to lose weight pls
A cold drink initially at 40 ∘F warms up to 44 ∘F in 2 min while sitting in a room of temperature 72 ∘F. How warm will the drink be if left out for 15 min?
If the drink is left out for 15 minutes in a room with a temperature of 72 ∘F, then it will continue to warm up until it reaches the same temperature as the room.
What is temperature?Temperature is a measure of the average kinetic energy of molecules in a substance. It is a physical quantity that is used to quantify the degree of hotness or coldness of an object or environment. Temperature is usually measured with the use of a thermometer that is calibrated to measure the changes in temperature. Temperature is a fundamental property of matter and can be observed in all phases of matter: solid, liquid, and gas. Temperature is measured in either Celsius (°C) or Fahrenheit (°F). The temperature of a substance can be increased or decreased through the addition or removal of heat energy. Heat energy can be transferred between two objects due to a difference in temperature. Increasing the temperature of an object increases the kinetic energy of the molecules and causes them to move faster.
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150 ml
Water at 22 °C
Iron at
125 °C
What is a possible
temperature of the
system after the iron
has been added to
the beaker?
A. 147 °C
B. 52°C
C. 125 °C
D. 19 °C
The possible temperature of the system after the iron has been added to the beaker is 52°C.
option B.
What is equilibrium temperature?A system is said to be in thermal equilibrium when there is no temperature difference between system and surroundings. Temperature, as you know, measures how hot or cold a body is with respect to a standard object.
When a system ( cold and hot body) reaches thermal equilibrium or equilibrium temperature, the heat lost by the hot body will be equal to the heat gained by the cold body.
heat gained by the water = heat lost by the iron
The equilibrium temperature will be greater than the initial temperature of the cold body but less than the final temperature of the hot.
Thus, the only possible answer for the equilibrium temperature of mixture is 52⁰C.
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A baseball is hit almost straight up into the air with a speed of 22 m/s. Estimate (a) how high it goes, and (b) how long it is in the air. (c) What factors make this an estimate ?
(a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
What is Acceleration due to gravity?Acceleration owing to gravity is the term used to describe the rate at which a body's velocity changes as a result of the earth's gravitational pull. In general, it is assumed that the acceleration caused by gravity is in the downward direction.
The acceleration caused by gravity has been calculated as, however as it changes from location to location, it may have an impact on the estimation.
You may have thought that the wind has no impact, but it can actually generate drag and even cause the ball to shift course.
Therefore, (a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
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While standing at the edge of a building's roof, Chad throws an egg upward with an initial speed of 6.00 m/s. The egg subsequently smashes on the ground, 13.0 m beneath the height from which Chad threw it. Ignore the effects of air resistance.
At what speed does the egg pass the point from which it was thrown?
The speed with which the egg pass the point from which it was thrown is √(-216) m/s.
What is the final velocity of the egg?
The speed with which the egg pass the point from which it was thrown is calculated by using the following kinematic equation.
Since the only acceleration acting on the egg is gravity (g = 9.8 m/s²), we have:
v² = u² + 2gh
where:
v = final velocity of the egg as it passes the point from which it was thrownu = initial velocity of the egg (6.00 m/s)g = acceleration due to gravity (-9.8 m/s^2)h = height traveled by the egg (13.0 m)Solving for v, the final velocity
v² = 6.00² + 2(-9.8) (13.0)
v² = 36 + (-252)
v² = -216
v = √(-216)
The square root of a negative number is not a real number, so this answer is not physically meaningful. This means that the egg will not pass the point from which it was thrown. The egg will instead reach its highest point and then fall back down to the ground.
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A baseball strikes the catcher's glove with a horizontal velocity of 40 m/s. The mass of the baseball is 0.15 kg. The displacement of the baseball due to the deformation of the catcher's glove and the movement of the catcher's hand is 8 cm from the instant it first makes contact with the glove until it stops. a. How much kinetic energy does the baseball possess just before it strikes the glove
Answer:
the kinetic energy is 120 J
Explanation:
a. The computation of the kinetic energy before it strikes the glove is as follows:
As we know that
The Kinetic energy is
= 1 ÷ 2 × m × v^2
= 1 ÷ 2 × (0.15)(40^2)
= 120 J
Hence, the kinetic energy is 120 J
24. A body A rests on a smooth horizontal table. Two bodies of mass 2 kg and 10 kg hanging freely, are attached to A by strings which pass over smooth pulleys at the edges of the table. The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 . Find the mass of A.
The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.
Let the mass of the body A be ‘m’.
The two strings are taut so they exert a tension ‘T’ on body A.
Let ‘a’ be the acceleration produced in the system.
The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)
As the two strings are taut, we can say that tension in both strings is equal.
Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.
The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)
As per the given problem, the system is released from rest.
Hence the initial velocity is zero.
Also, we are given that the system accelerates at 2 m/s2.
Therefore a = 2 m/s2 …(2)
From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5
Thus, the mass of A is 8m/5 kg.
Answer: Mass of A = 8m/5 kg.
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Which kind of wave interaction is shown?
Answer:
where?
Explanation:
ill edit my answer when see it
What is the difference between special relativity and general relativity? Briefly describe each theory and cite one piece of evidence supporting each theory.
Special relativity and general relativity are both theories proposed by Albert Einstein. Special relativity deals with the laws of physics in the absence of gravity, while general relativity extends special relativity to include gravity and explains the curvature of spacetime caused by mass and energy.
Special relativity, proposed in 1905, deals with the laws of physics in the absence of gravitational fields. It introduces the concepts of time dilation and length contraction, stating that the laws of physics are the same for all observers moving at constant speeds relative to each other.
One piece of evidence supporting special relativity is the famous Michelson-Morley experiment, which failed to detect the existence of the hypothetical luminiferous aether.
On the other hand, general relativity, formulated in 1915, is an extension of special relativity that incorporates gravity. It postulates that gravity arises from the curvature of spacetime caused by mass and energy. General relativity explains the motion of celestial bodies, the bending of light in the presence of massive objects, and phenomena like black holes.
One piece of evidence supporting general relativity is the observed gravitational redshift, where light emitted from a source in a strong gravitational field is shifted to longer wavelengths.
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2. Gerard is riding his bicycle directly east. His maximum
instantaneous velocity was 8 meters per second and his
minimum instantaneous velocity was 0 meters per second. He
covered 7.20 kilometers in 20.0 minutes. What is his average
velocity for the ride?
Gerard's average velocity for the ride is 6 meters per second.
To find Gerard's average velocity for the ride, we can use the formula:
Average velocity = Total displacement / Total time
First, we need to convert the distance traveled from kilometers to meters:
7.20 kilometers * 1000 = 7200 meters
Next, we convert the time from minutes to seconds:
20.0 minutes * 60 = 1200 seconds
Now, we can calculate the total displacement by subtracting the initial position from the final position. Since Gerard is riding directly east, there is no change in the east-west direction, so the displacement is equal to the distance traveled:
Total displacement = 7200 meters
Finally, we substitute the values into the average velocity formula:
Average velocity = 7200 meters / 1200 seconds
Average velocity = 6 meters per second
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convert 500 g into kg
How does clothing and body language affect a job interview?
Answer:
please give me brainlist and follow
Explanation:
Whilst first impressions can be important, your body language during the interview can make or break your overall performance. With experts saying that between 75-90% of communication is non-verbal, it is important to think about what your body is saying about you during an interview.
The refractive indices of materials A and B have a ratio of nA/nab=1,33. The speed of light in material A is 1.25 times 10^8m/s. What is the speed of light in material B?
The speed of light in material B is 1.6625 × 108 m/s.
The refractive index of a material is its optical density relative to that of a vacuum.
Material B has a refractive index of nB, and its speed of light is vB.
The speed of light in material A is given as 1.25 x 108 m/s.
The refractive indices of materials A and B have a ratio of nA/nB = 1.33.
We will use the formula:
nA/nB = vB/vA = nA/nB.
Therefore, nA/nB = vB/1.25 x 108 m/s.
This equation can be rearranged to give the speed of light in material B:
vB = nA/nB × 1.25 x 108 m/s.
Therefore, vB = 1.33 × 1.25 × 108 m/s.
We will perform this calculation:
vB = 1.6625 × 108 m/s.
Therefore, the speed of light in material B is 1.6625 × 108 m/s.
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a satellite is revolving around the sun in a circular orbit with uniform velocity v. if the gravitational force suddenly disappears the velocity of the satellite will be?
Answer:
when gravitational force suddenly disappears, then only centrifugal force will be acting and velocity is tangential to the orbit and hence, the satellite will fly off tangentially with same velocity v.