The impulse-momentum theorem states that the impulse acting on an object is equal to the change in momentum of the object. Therefore, the final velocity of the block is 3 m/s towards the east, which is the same as its initial velocity.
Mathematically, this can be expressed as:
impulse = change in momentum
The impulse acting on the block is given as 8 Ns towards the west. The initial momentum of the block is:
p ₁= m₁v₁= (4 kg)×(3 m/s) = 12 kg m/s towards the east
Let the final velocity of the block be v₂. The change in momentum of the block is:
Δp = p₂- p₁
where p₂ is the final momentum of the block. Since there are no external forces acting on the block, the total momentum of the block is conserved. This means that:
Δp = p₂ - p₁= 0
Therefore, the final momentum of the block is equal in magnitude but opposite in direction to its initial momentum:
p₂= p₁ = 12 kg m/s towards the east
The final velocity of the block is given by:
p₂= m₂v₂
where m₂ is the mass of the block and v₂ is its final velocity. Solving for v2, we get:
v2 = p2 / m2 = 12 kg m/s / 4 kg = 3 m/s towards the east
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If scientists could bore though Earth's interior, what change would they most likely notice as they passed from the lithosphere to the asthenosphere?
Answer:
It gets hotter and hotter and it would start to be a liquid lava
Explanation:
True or False,the indirect method is used to determine total power in a parallel circuit when that power is determined from the total current, total resistance, and source voltage.
True, the indirect method is used to determine total power in a parallel circuit when that power is determined from the total current, total resistance, and source voltage.
What is an indirect method?The indirect method of calculating power in a parallel circuit is used when it is not feasible to measure the current flowing through each individual resistor. It is found by multiplying the total resistance of the circuit (RT) by the square of the total current (IT), or by using the total voltage (VT) squared and dividing by the total resistance (RT).
The indirect method is used to determine total power in a parallel circuit when that power is determined from the total current, total resistance, and source voltage. The equation to use for this is Power = Voltage x Current. Therefore, the total power in a parallel circuit can be determined by multiplying the source voltage by the total current, divided by the total resistance.
The formula to calculate power is given by P = IV, where P stands for power, I stands for current, and V stands for voltage. Power is usually measured in watts (W), current is measured in amperes (A), and voltage is measured in volts (V).A parallel circuit consists of multiple paths, each containing a resistor.
The current through each resistor in a parallel circuit varies, and each resistor has its own voltage drop. The total resistance of a parallel circuit is less than the smallest resistance in the circuit.
The formula for calculating total power in a parallel circuit is
P = IT² × RT,
where IT is the total current and RT is the total resistance.
This formula assumes that the total voltage of the circuit is known. The formula can also be written as
P = VT²/RT,
where VT is the total voltage in the circuit.
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What does Newton's first law of motion imply about an object in motion?A. It will tend to slow down until it comes to rest.B. It will tend to remain at a constant velocity unless acted upon by aforce.C. It will tend to exert a friction force on the air around it.D. It will tend to accelerate until it reaches the speed of light unlessacted upon by a force.
Newton's first law of motion:
Newton's first law of motion states that a body in motion tends to remain in motion at a constant velocity unless acted on by a net external force.
Hence, the correct option is (B)
athlete meseret defar runs at 10m
what is fl oz in l conversion?
Fluid ounces (fl oz) and liters (L) are units of volume, with the former being more commonly used in the United States and the latter being more commonly used in most other parts of the world.
To convert from fluid ounces to liters, you can use the following conversion factor:
1 fl oz = 0.0295735 L
Volume is the measure of space occupied by an object or substance. It is expressed in different units depending on the system of measurement used. In the International System of Units (SI), the standard unit of volume is cubic meters (m³). However, in practical situations, other units are commonly used.
In the metric system, liters (L) and milliliters (mL) are used as units of volume. A liter is equal to one cubic decimeter (1 dm³), while a milliliter is one-thousandth of a liter. In the US customary system, fluid ounces (fl oz), cups (c), pints (pt), quarts (qt), and gallons (gal) are used. One fluid ounce is equal to 29.5735 milliliters, while one gallon is equal to 3.78541 liters.
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what is the mass of a computer that weighs 8 N (gravity is 9.8 m/s^2)
A. 0.34 kg
B. 0.82 kg
C. 2 kg
D. 0.67 kg
Mass, m of the computer is 0.82kg.
Given the following data:
Weight of computer = 8N
Acceleration due to gravity = 9.8m/s
Weight is the product of the mass of an object or body multiplied by gravity.
Mathematically, weight is:
\(\text{W = mg}\)
Where:
W represents the weight of a computer measured in Newton.
m represents the mass of a computer measured in kilograms.
a represents acceleration due to gravity measured in meter per seconds.
\(\text{m}=\frac{\txet{W}}{9}\)
\(\text{m}=\dfrac{8}{9.8}\)
\(\text{m}=0.81632653\thickapprox0.82\)
Mass, m = 0.82kg.
Therefore, the mass of the computer is 0.82kg.
The power output of an electric pump the pump is required to raise water from a borole of depth 10m and then water this water if 10kg of water is required energy second
Therefore, the power output of the electric pump is 981 watts.
To calculate the power output of an electric pump, we need to use the formula:
Power = Work done / time
The work done by the pump is equal to the potential energy it gives to the water as it raises it up from the borehole. The potential energy of the water is given by:
Potential energy = mass * gravity * height
where mass = 10 kg, gravity = 9.81 m/s^2, and height = 10 m.
So, potential energy = 10 * 9.81 * 10 = 981 J
If the pump is required to raise this amount of water in 1 second, then the work done per second (power) is 981 J/s, or 981 watts.
Therefore, the power output of the electric pump is 981 watts.
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a liquid of density 1457 kg/m3 flows through two horizontal sections of tubing joined end to end. in the first section the cross-sectional area is 4.36 cm2 , the flow speed is 3.4 m/s, and the pressure is 167 kpa . in the second section the cross-sectional area is 2.89 cm2.
A. Assume incompressible flow
Since volumtric flow rate will be same in both section
Q1 = Q2
A1*V1 = A2*V2
V2 = A1*V1/A2
V2 = 6.9*10^-4*288*10^-2/(3.3*10^-4)
V2 = 6.02 m/sec
B. using bernoulli's equation:
P1/rho + v1^2/2 + g*h1 = P2/rho + v2^2/2 + g*h2
Since pipes are horizontal
h1 = h2
P1/rho + v1^2/2 = P2/rho + v2^2/2
P2 = P1 + (v1^2 - v2^2)*rho/2
P2 = 1.5*10^5 + (2.88^2 - 6.02^2)*1100/2
P2 = 1.35*10^5 Pa
The rate of change in position of an object in any course. Speed is measured because the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has handiest route and no significance.
Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.
The primary unit or the S.I. unit of velocity is m/s or ms?¹.
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If the planet jupiter underwent gravitational collapse, its rate of rotation about its axis would.
If the planet Jupiter underwent gravitational collapse, its rate of rotation about its axis would increase .
Gravitational collapse is the contraction of an astronomical object due to the influence of its own gravity, which tends to draw matter inward toward the center of gravity.
If the planet Jupiter underwent gravitational collapse, its rate of rotation about its axis would increase as the speed will increase .
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a man skis down a slope. his initial elevation was 150 m and his velocity at the bottom of the slope is 17 m/s. what percentage of his initial potential energy was consumed due to friction and air resistance? use the accounting equation in your calculations.
Approximately 37.56% of the skier's initial potential energy was consumed due to friction and air resistance.
Define potential energy.Because of its position or configuration, potential energy is a sort of energy that is held in an object or system. It is the energy that a thing possesses as a result of its position or condition and which can be released or changed into other forms of energy when the object is permitted to move or go through a state change.
The formula for potential energy is:
PE = mgh
Where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the object's height above a reference point, such as the ground.
To calculate:
We can use the conservation of energy principle, which states that the initial potential energy (PEi) of the skier is equal to the final kinetic energy (KEf) of the skier plus the energy lost due to friction and air resistance.
PEi = KEf + Energy lost due to friction and air resistance
We can express the potential energy in terms of the skier's mass (m) and height (h) above the ground:
PEi = mgh
Where g is the acceleration due to gravity (9.8 m/s^2).
At the bottom of the slope, all the potential energy is converted into kinetic energy, so we can write:
KEf = (1/2)mv^2
Where v is the velocity of the skier at the bottom of the slope.
The energy lost due to friction and air resistance can be expressed as:
The energy lost = PEi - KEf
Substituting the expressions for PEi and KEf, we get:
Energy lost = mgh - (1/2)mv^2
Now we can use the accounting equation to calculate the percentage of the initial potential energy that was lost due to friction and air resistance:
% Energy lost = (Energy lost / PEi) x 100
Substituting the expression for Energy lost and PEi, we get:
% Energy lost = [(mgh - (1/2)mv^2) / mgh] x 100
Simplifying this expression, we get:
% Energy lost = [(2gh - v^2) / 2gh] x 100
Substituting the values given in the problem, we get:
% Energy lost = [(2 x 9.8 x 150 - 17^2) / (2 x 9.8 x 150)] x 100
% Energy lost = 37.56%
Therefore, approximately 37.56% of the skier's initial potential energy was consumed due to friction and air resistance.
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Why does matter increase in volume when it heats up?
Answer:All three states of matter (solid, liquid and gas) expand when heated. ... Heat causes the molecules to move faster, (heat energy is converted to kinetic energy ) which means that the volume of a gas increases more than the volume of a solid or liquid.
Explanation:well I tried lol she just copied and pasted faster than I could
All waves travel through a
Group of answer choices
frequency
conductor
medium
wave
A soccer ball with a mass of 0.60 kg travels toward a soccer goalie at
a speed of 18 m/s. The goalie catches the ball, bringing it to a stop
in 0.035 s. What is the force exerted by the goalie on the soccer ball?
A 58.0 g incoming tennis ball has a speed of 30 m/s when it is hit by a
racket in the opposite direction and leaves the racket at 40 m/s. What
is the average force exerted by the racket on the ball if contact lasted
for 5.2 ms?
Assuming constant acceleration, the goalie slows the ball from 18 m/s to rest in 0.035 s, so that the acceleration felt by the ball is
\(a_{\rm ave} = a = \dfrac{18\frac{\rm m}{\rm s}-0}{0.035\,\mathrm s} \approx \boxed{510\dfrac{\rm m}{\mathrm s^2}}\)
A 90 kg astronaut Travis is stranded in space at a point 12 m from his spaceship. In order to get back to his ship, Travis throws a 0.50 kg piece of equipment so that it moves at a speed of 4 m/ s directly away from the spaceship towards the left . How long will it take him to reach the ship? *hint find his speed after the collision and consider it a constant speed all the way back to his spaceship*
Answer:
Explanation:
This is a recoil problem, which is just another application of the Law of Momentum Conservation. The equation for us is:
\([m_av_a+m_ev_e]_b=[m_av_a+m_ev_e]_a\) which, in words, is
The momentum of the astronaut plus the momentum of the piece of equipment before the equipment is thrown has to be equal to the momentum of all that same stuff after the equipment is thrown. Filling in:
\([(90.0)(0)+(.50)(0)]_b=[(90.0)(v)+(.50)(-4.0)]_a\)
Obviously, on the left side of the equation, nothing is moving so the whole left side equals 0. Doing the math on the right and paying specific attention to the sig fig's here (notice, I added a 0 after the 4 in the velocity value so our sig fig's are 2 instead of just 1. 1 is useless in most applications).
0 = 90.0v - 2.0 and
2.0 = 90.0v so
v = .022 m/s This is the rate at which he is moving TOWARDS the ship (negative was moving away from the ship, as indicated by the - in the problem). Now we can use the d = rt equation to find out how long this process will take him if he wants to reach his ship before he dies.
12 = .022t and
t = 550 seconds, which is the same thing as 9.2 minutes
(E) V = kQ/r so the smaller sphere is at the lower potential (more negative = lower) Negative charge
flows from low to high potential so the charge will flow from the smaller sphere to the larger.
The flow of charge ceases when there is no difference in potential.
Two conducting spheres of different radii, as shown above, each have charge -Q. Which of the following
occurs when the two spheres are connected with a conducting wire?
(A) No charge flows.
(B) Negative charge flows from the larger sphere to the smaller sphere until the electric field at the surface of
each sphere is the same.
(C) Negative charge flows from the larger sphere to the smaller sphere until the electric potential of each
sphere is the same.
(D) Negative charge flows from the smaller sphere to the larger sphere until the electric field at the surface of
each sphere is the same.
(E) Negative charge flows from the smaller sphere to the larger sphere until the electric potential of each
sphere is the same.
The correct statement is " Negative charge flows from the smaller sphere to the larger sphere until the electric potential of each sphere is the same." The correct Option (E).
When the two spheres are connected with a conducting wire, the negative charge will flow from the smaller sphere to the larger sphere until the electric potential of each sphere is the same. This is because the electric potential at a point in space is proportional to the amount of charge present at that point and inversely proportional to the distance from the point to the center of the charged sphere.
Option (A) is not true because charge will flow due to the difference in potential between the two spheres.
Option (B) is not true because the electric field at the surface of each sphere will not necessarily be the same after charge flows.
Option (C) is not true because the electric potential at a point in space is the same for all charged conductors connected by a wire.
Option (D) is not true because the negative charge will flow from the smaller sphere to the larger sphere, not the other way around.
Therefore, The correct answer is option E.
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Two conducting spheres of different radii with each negative charge connected with a conducting wire, Negative charges flow from the smaller sphere to the larger sphere until the potential becomes the same. Thus, option E is correct.
The potential V = kQ / r, Potential and charge are directly proportional to each other, more potential gives more negative charge. More negative charge gives lower potential. The potential always flows from a lower to a higher potential. Thus the negative charge flows from the smaller sphere to the larger sphere to equal the potential.
Thus, the correct option is E.
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aqueos barium chloride reacts with aqueous sodium sulfate to produce solid barium sulfate and aqueous sodium chloride
Answer:
1 Ba + 1 SO4^-2 -----> 1 Ba^2 SO4^-2
Explanation:
Calculate the focal length of a lens needed by a woman whose near point is 50cm from her eyes, assuming the least distance of distinct vision for a normal eye is 25cm.
The focal length of a lens needed by a woman whose near point is 50cm from her eyes is 50cm.
To find the answer, we have to know about the focal length of correcting lens.
How to find the focal length of correcting lens?If x is the distance of nearest point of the defective eye and D is the least distance of distinct vision, then, the expression for focal length of the correcting lens will be,\(f=\frac{XD}{X-D}\)
It is given that, the woman whose near point is 50cm from her eyes, assuming the least distance of distinct vision for a normal eye is 25cm. Thus, the focal length will be,\(f=\frac{50*25}{50-25} =50cm.\)
Thus, we can conclude that, the focal length of a lens needed by a woman whose near point is 50cm from her eyes is 50cm.
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What does it mean if displacement is negative?
Displacement is negative when an object moves in the negative direction. The initial position will be further in the positive direction than the final position.
Displacement is a term used in physics to describe the change in position of an object with respect to its initial position. In other words, it is the distance and direction between an object's starting point and its end point. To calculate displacement, you need to know the object's starting point and end point. The displacement can be positive or negative, depending on the direction of the movement.
Displacement is a vector quantity, which means that it has both magnitude (the distance between the two points) and direction (the direction from the starting point to the end point). It is often represented by an arrow, with the length of the arrow representing the magnitude of the displacement, and the direction of the arrow representing the direction of the displacement.
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How much voltage would it take to push 0.5 amps through a 2 kilowatt toaster?
1000 Volts
2000 Volts
3000 Volts
4000 Volts
5000 Volts
6000 Volts
Given :
Current, I = 0.5 A.
Power of toaster, P = 2 kW = 2000 W.
To Find :
How much voltage is required.
Solution :
We know, voltage is given by :
\(V = \dfrac{P}{I}\\\\V = \dfrac{2000\ W}{0.5 A}\\\\V = 4000 \ volts\)
Therefore, 4000 Volts are required.
Answer:
4000
Explanation:
2000/0.5=4000
What is the wavelength (in feet) of a 600 hz sound wave (assume speed of sound in air is 1125 ft/s; round to the nearest second decimal place e.g. 1.255 = 1.26)?
The wavelength (in feet) of the sound wave with a velocity of 1125 ft/s and a frequency of 600 Hz is 1.88 ft
Relation of velocity, frequency and wavelength of a waveThe velocity of a wave is related to its frequency and wavelength according to the following equation:
Velocity (v) = wavelength (λ) × frequency (f)
v = λf
How to determine the wavelength of the waveFrom the question given, the following data were obtained:
Frequency (f) = 600 HzVelocity (v) = 1125 ft/s Wavelength (λ) =?The wavelength of the wave can be obtained as follow:
v = λf
Divide both sides by f
λ = v / f
λ = 1125 / 600
λ = 1.88 ft
Thus, the wavelegth of the wave is 1.88 ft
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which statement is correct about the effectiveness of carbon dating
Answer:
b
Explanation:
Statement is correct about the effectiveness of carbon dating is that It only works for organisms that died less than about 60,000 years ago.
What is carbon dating?Even though the plant or animal stops absorbing when it dies, the radioactive carbon it has stored keeps on degrading. Estimating how much is left over allows one to determine how long something has been dead.
The moss was determined to have been frozen for more than 1,500 years based on carbon dating. Now, if other evolutionary ways of dating are consistent with carbon dating, the scientists may have made a significant discovery. However, when used in isolation, carbon dating is at best unreliable and at worst, blatantly wrong.
Statement is correct about the effectiveness of carbon dating is that It only works for organisms that died less than about 60,000 years ago.
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Which question investigates a characteristic shared by electromagnetic and mechanical waves?
A
How much energy can the waves carry?
B
What are the speeds of the waves in different media?
С
Which medium do both kinds of waves utilize to travel?
D
In what direction do the particles in the medium vibrate when the waves travel?
Sound waves and other mechanical waves can move energy through solid objects. Energy can be transferred through matter and space via electromagnetic waves, such as light waves. Thus, option A is correct.
What is electromagnetic and mechanical waves?The shifting magnetic and electric fields are what produce electromagnetic waves. They are created by the charged particles' oscillation.
Each type of wave has a drastically different speed as a result of these variations. Mechanical waves move much more slowly than electromagnetic waves, which move at the speed of light.
Mechanical waves are referred to as a periodic disturbance, whereas electromagnetic waves are referred to as a disturbance.
Therefore, electromagnetic and mechanical waves share energy as common characteristics.
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You are running late to school and need to go 1,500 m in 10 minutes. What speed will you travel?.
The required average speed to reach the school will be 2.5 meters per second.
According to the question,
School is still 1500m away and it starts in 10 minutes. We need to determine at what average speed you need to travel to reach the school on time.
What is speed?
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that particular object.
Here it is given,
Distance = 1500m
Time = 10 minutes or 10×60(seconds) = 600 seconds
Speed = distance/time
Speed = 1500/600
Speed = 2.5 meters per second
Thus, the average speed needed to reach the school at a distance of 1500m in 10 minutes will be 2.5 meters per second.
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what type of reaction occurs when a cadle is burned
Answer:
Exothermic Reaction.
Explanation:
An exothermic reaction is a chemical reaction that releases energy in the form of light or heat. The burning of the candle is an exothermic reaction. Endothermic reactions - Heat is absorbed, like the Photosynthesis process.
How much work is performed by gravity on an object of mass m in free fall over a distance h m?
The amount of work performed by gravity on an object of mass 'm' in free fall over a distance h m is 9.8mh J
How do I determine the work performed by gravity?Work is defined as the product of force and distance as shown by the following formula:
Work = Force × distance
Where gravity applies, the work is defined as:
Work (W) = Mass (m) × acceleration due to gravity (g) × height (h)
W = mhg
With the above formula, we can obtain the work performed by gravity. Details below:
Mass (m) = mDistance = h mAcceleration due to gravity (g) = 9.81 m/s²Work =?Work (W) = Mass (m) × acceleration due to gravity (g) × height (h)
Work = m × 9.8 × h
Work = 9.8mh J
Thus, we can conclude that the work performed by gravity is 9.8mh J
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The electric force between two or more charged objects depends on which of the following quantities?
a. charge and distance between the charged objects
b. quantity of charges and their masses
c. charge and mass of charged objects
d. mass and distance between the charged objects
The electric force between two or more charged objects depends on the charge and the distance between the charged objects
What is Coulomb's law?Coulomb's law states that the force of attraction or repulsion between two charged bodies is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Coulomb's law shows the relationship between the force , charge and the distance between the bodies
therefore F= kq1q2/r²
where q1 is the charge of body 1 and q2 is the charge of body 2. r is the distance between them and k is called electrostatics constant which have a value of 9,×10⁹ Nm²/C²
Therefore what can affect the force between two charges are the product of the charge of the two bodies and the distance between the two charge.
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5.
A device known as the nMRI, or nuclear magnetic resonance imager, often called an MRI for simplicity, is used for what purpose?
A to generate electricity
B to apply lasers to precision measurements of the nucleus
C to create an image of objects inside other objects
D to measure geologic pressures deep underground in volcanically active regions
Answer:
C. to apply lasers to precision measurements of the nucleus
Explanation:
Magnetic resonance imaging (MRI) is based on the principles of nuclear magnetic resonance (NMR), a spectroscopic technique used to obtain microscopic chemical and physical information about molecules.
The angular speed of a wheel of bicycle is 8pi rad/s what is period of rotation
I hope this woll work.Best of luck.Sorry of the answer ia wrong
Which part of the electromagnetic spectrum is nearest to radio waves?
X-rays
microwaves
gamma rays
ultraviolet light
Answer:
i believe it is the microwaves that is closest to the radio waves.
Explanation:
The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.
What is meant by electromagnetic spectrum?The range of all EM radiation arranged from high to low frequency (short to long wavelength) according to their frequency or wavelength. is known as the electromagnetic spectrum (EM).
Here,
The visible light from a bulb in your home and the radio waves from a radio station are two examples of electromagnetic radiation. Radiation is energy that travels and disperses as it does.
The properties of the electromagnetic spectrum include the ways in which signals can propagate and how much data they can carry. Signals delivered at higher frequencies typically propagate more quickly but can carry more data in a given amount of space.
The electromagnetic spectrum begins with the lowest frequency radio waves and moves up in frequency and down in wavelength from there. Radio waves are followed by visible light, infrared radiation, and lastly microwaves.
Hence,
The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.
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Normal human body temperature is 98.6°F. What is this temperature expressed in Celsius (°C) and in Kelvin (K)?
Answer: 37 Celsius and 310.15 K
Explanation:
C/5 = (F-32)/9 = (98.6-32)/9 = 66.6/9 = 7.4
C = 7.4 * 5 = 37 so the temperature is 37 Celsius
K = C + 273.15 = 37 + 273.15 = 310.15 K