(A) The angle of this in polar coordinates is 30⁰.
(B) The North/South and East/West components of its displacement is 250 m and 433 m respectively.
The angle is this in polar coordinates60° N of W lies in the fourth quadrant;
θ = 90 - 60 = 30⁰
in polar coordinate = (r,θ) = (500 m, 30⁰)
Vertical component of the displacement (North/South)Dy = D sinθ
Dy = 500 m x sin(30) = 250 m
Horizontal component of the displacement (East/West)Dx = D cosθ
Dx = 500 m x cos(30) = 433 m
Thus, the angle of this in polar coordinates is 30⁰.
The North/South and East/West components of its displacement is 250 m and 433 m respectively.
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Astrologers claim that your personality traits are determined by the positions of the
planets in relation to you at birth. Scientists argue that these gravitational effects are so
small that they are totally insignificant. What is the gravitational attraction between you
(40 kg) and Mars? NOTE: M Mars
23
6.42×10²³ kg, d
= 2.25×10¹¹ m.
11
=
earth-mars
Answer:
Zodiac signs
Explanation:
Susie operates a restaurant in the ski resort town of Asvail. She has decided to group her Other Expenses categories in terms of either fixed expenses or variable expenses. Place an X in the Variable Expense column for those expenses that vary with sales volume. For expenses that do not vary with sales, place an X in the Fixed Expense column.
Other Expenses Variable Expense Fixed Expense Linen rental Plano rental Ice
Insurance Pension plan payments Snow shoveling fees (parking lot) Paper products Kitchen equipment lease (mixer)
Long-term debt payment Real estate tax
Expenses including those for linen service, ice, and paper goods might fluctuate depending on demand. Other variables are constants. No change occurs to it. This is further explained below.
What is Susie's operation?Generally, Fixed expenditures, in contrast to the more unpredictable variable costs like advertising, happen regularly at the same time each year regardless of fluctuations in revenue or other variables. It doesn't get the performance bus.
Here, we are given with table.
[tex]\begin{tabular}{|c|c|c|}Other Expenses & Variable Expense & Fixed Expense. \\ Linen rental & $X$ & \\ piano rental & & $X$ \\ ice & $X$ & $X$ \\insurance & & $X$ \\ Pension plan & & $X$ \\Snow shoveling dees cparkinglot) & & \\Paper products & $X$ & $X$ \\ Kituen equipment & & $X$ \\ lease (mixer) & & \\Longterm debt. & & \\ Realestate tax. & & \\\end{tabular}[/tex]
In conclusion,
Linen rental, ice, and Paper Products are Variable expenses because it is based on requirementOthers are fixed by other factors. it's not affectedRead more about Expenses
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How much horsepower is produced by 2023 z’s 3. 0-liter twin-turbo 6-cylinder engine?.
The engine is rated at 400 horsepower at 6,400 rpm and 350 lb-ft of torque starting from 1,600 to 5,200 rpm.
Horsepower:
The power an engine produces is referred to as horsepower. It is determined by the amount of force required to move 550 pounds one foot in a second or 33,000 pounds one foot in a minute. The speed at which the work is completed serves as a gauge of power.
Equation to calculate horsepowe:
Simple math can be used to get horsepower: Horsepower = Torque x RPM / 5,252. To test it out for yourself, use the horsepower calculator below. Knowing a few more fundamental terminology and formulas can help you comprehend how a dynamometer determines torque and power.
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A hobby rocket reaches a height of 72.3 m and lands 111 m from the launch point with no air resistance. What was the angle of launch
Answer:
The angle of launch is 52.49 Degree.
Explanation:
The Range R and Height H of a thrown object is calculated using the formula,
R=V₀² sin(2φ)/g
H=V₀²sin²(φ)/g
From these equations it can be written,
V₀²=R g/ sin(2φ)
V₀²=H g/ sin²(φ)
These values are equal so it can be written by equating these equations,
R g/sin(2φ)=H g/sin²(φ)
tan(φ)= 2H/R
Given H=72.3 m and R=111 m, the angle of launch is,
tan(φ)= 2*72.3/111
φ= 52.49 Degree.
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Beryllium has a charge of 2, and bromine has a charge of –1. which is the best name for the ionic bond that forms between them? beryllium bromide beryllium bromine bromine berylliumide bromide berylliumide
The best name for the ionic bond that forms between them is Beryllium Bromide.
We have been provided with data,
Beryllium charge, q = 2
Bromine charge, q = -1
As we know the valance electron of Be is +2 and the valance electron of bromine is -1. Since one is metallic and the other is non-metallic.
Now, when they combine they exchange valance electron, and bromine change into bromide so they form Beryllium Bromide.
So, the best name for the ionic bond that forms between them is Beryllium Bromide.
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write the first law of motion
Answer:
A object in rest will remain in rest and a object in motion will move at a constant pace and in a straight line unless a unbalanced force acts upon it
Explanation:
give brainliest if you'd like
Newton's first law: the law of inertia
Newton's first law states that
if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
hope you understand thank you.
During a process, 2 kJ of work are done on a system, and 3 kJ of heat are given away by the system. What is the change of internal energy of the system
The change in the internal energy of the system is increased by 1 Kj.
Determination of the internal energyAccording to the first law of thermodynamics,
Energy can only be changed in form; it cannot be generated or destroyed, according to the basic rule of thermodynamics. External work or heat exchange over the barrier are all examples of energy transfer for any system. These result in a change in the control volume's energy reserves.Therefore, Δ∪=q+w
[Δ∪= change of internal energy; q=heat; w=work]
Provided,
q= -3Kj (as heat is given away)
w= +2Kj (work done in the system is positive)
So, Δ∪= -3 + (+2) Kj
⇒Δ∪= -1 Kj
Therefore the internal energy of the system is increased by 1 kj.
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Is volume measured using a balance?
Fehling's solution is added to the counters of test tube b after about 3 minutes and it turns brick red.what food substance was used?
The food substance being used which turned Fehling's solution to brick red is a reducing sugar.
What is Fehling's solution?This is an indicator which is used to test for the presence of reducing sugar or aldehydes in a solution.
Brick red precipitate of copper(I) oxide is formed when it tests positive to compounds such as glucose etc.
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A stone that is dropped freely from the rest traveled half the total height in the second. with what velocity will it strike the ground
The stone will strike the ground with velocity of 33.5 m/s.
What is velocity:
Velocity is the directional speed as an indication of its rate of change in position observed from a particular frame of reference.velocity formula is basically displacement divided by time.What is displacement:
It is an vector quantity with magnitude and direction.It defines as the change in position of an object.Here,
Stone is dropped freely from rest, so it's Initial velocity will be zero.
u = 0 m/s
displacement is equal to half of total height.
y = h/2
since Stone is dropped freely, a=g ( acceleration of gravity)
According to Newton's equation of motion:
y = u* t + 1/2 (at^2)
h/2 = 0 + 1/2 (gt^2)
h = g* t^2 -----1
now at t= t+1 , displacement y = h
h = u* t + ½ g (t + 1)²
h = ½ g (t + 1)² -----2
comparing both equations,
g* t^2 = ½ g (t + 1)²
2t² = (t + 1)²
2t² = t² + 2t + 1
t² − 2t = 1
t² − 2t + 1 = 2
(t − 1)² = 2
t − 1 = ±√2
t = 1 ± √2
Since t > 0, t = 1 + √2.
So t+1 = 2 + √2.
At that time, the speed is:
v = at + u
v = g (2 + √2) + 0
v = g (2 + √2)
If g = 9.8 m/s²,
v = 33.5 m/s.
The stone will strike the ground with velocity of 33.5 m/s.
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How does a person standing on the ground correctly explain why you, sitting on the left side of a slippery back car seat, slide to the right when the car makes a high speed left turn
Answer:
if the car is traveling north, the person is also traveling north,
If the car turns to (left) to the west, the person will still tend to travel to the north and will slide to the right (north) on a slippery car seat.
If line segment ru is considered the base of parallelogram rstu, what is the corresponding height of the parallelogram?.
The corresponding height of the given parallelogram is 5.4 units
steps involved:
Given that the basis of the parallelogram RSTU is thought to be the line segment RU with vertices R(1, 1) and U(4, 5).
The parallelogram's top is therefore defined as the line segment ST with vertices S(7, 0) and T(10, 4).
The length of a line with endpoints at RU and ST and that is perpendicular to both RU and ST is the length that corresponds to the parallelogram's height.
Given by is the equation for the line segment RU.
Let the slope of the line perpendicular to line RU be m, then provided that two lines are perpendicular, the product of the slope of the two lines is -1.
Consequently, the equation for the line passing through point (1, 1) and perpendicular to RU is
Therefore, the corresponding height of the given parallelogram is 5.4 units
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9. A couple of ice cubes float in a glass of water. Will the water level in the glass change when the ice cubes have melted? Explain your answer.
yes or no
Answer:
according to the Archimedes principle , the floating substance displaces some liquid, so when the ice melts ,there will be no change in the water level as the melted ice will occupy the same volume as it was occupying earlier.
Explanation:
A new ride being built at an amusement park includes a vertical drop of 70.0 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. The velocity at the bottom of the drop is 12.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg.
a. Calculate the potential, kinetic and total energy at the top.
b. Calculate the potential, kinetic and total energy at the bottom.
c.Is the total energy at the top equal to the total energy at the bottom? Justify your observation.
The potential, kinetic and total energy at the top are 2.38 x 10⁷ Joule, 0 Joule, 23.8 x 10⁶ Joule respectively and the potential, kinetic and total energy at the bottom are 0 Joule, 2.448 x 10⁶ Joule, 2.448 x 10⁶ Joule respectively. moreover the total energies are not same as not all potential energy converting into Kinetic energy of vertically drop of ride as the ride moves straight afterwards so that also need some energy which is again coming from potential energy.
Energies at the top:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 70 Joule
Potential energy = 2.38 x 10⁷ Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 0²
Kinetic Energy = 0 Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 23.8 x 10⁶ Joule ) + ( 0 Joule )
Total Energy = 23.8 x 10⁶ Joule
Energies at the bottom:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 0 Joule
Potential energy = 0 Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 12²
Kinetic Energy = 2.448 x 10⁶ Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 0 Joule ) + ( 2.448 x 10⁶ Joule )
Total Energy = 2.448 x 10⁶ Joule
The total energies are not the same since not all potential energy is converted into Kinetic energy of the vertical drop of the ride as the ride travels straight thereafter thus that also requires some energy which is again derived from potential energy.
So we have calculated the potential, kinetic and total energy at top and bottom both, and also stated the reason of why total energy at the top is not equal to the total energy at the bottom.
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A hot metal ball is hung in an oven that is maintained at 700 K; and it cools. When the temperature of the ball is 950 K, it is losing heat at a rate of 0.15 J/min. At what rate will the ball lose heat when the ball reaches 820 K
Answer:
At 820 K, the object lose heat at the rate of 0.072 J/min.
Explanation:
By using Newton's cooling law, the formula to calculate the rate of cooling R is,
R=-k(T-To)
where k is a constant, T is the temperature of the object and To is the temperature of the surrounding.
At T=950 K, R=0.15 J/min and To=700 K,
Therefore, 0.15=-k(950-700)
k=0.15/250 J/K min.
At T=820 K,
R=-(0.15 / 250)*(820-700)
R=-0.072 J/min
Therefore the rate of heat loss at T=820 K is 0.072 J/min.
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What is the acceleration of a ball that slows down from 45 m/s to 20 m/s in 0.5 seconds?
This is a uniformly accelerated rectilinear motion exercise.
To start solving this exercise, we obtain the following data:
Data:Vf = 20 m/sVo = 45 m/st = 0.5 secondsTo find the acceleration, divide the change in velocity by the time over which the velocity changed. The SI unit of speed is the meter per second (m/s). To find the acceleration, the velocity is divided by the time expressed in seconds (s). Therefore, the unit of acceleration is m/s².
We apply the following formula:
[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{V_{f}-V_{o}}{t} \end{gathered}$}[/tex]
where,
Vf = final speedVo = Initial VelocityT = Timea = accelerationWe substitute our data in the formula and solve:
[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{20 \ m/s-45 \ m/s}{0.5 \ s} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{-25 \ m/s}{0.5 \ s} \end{gathered}$}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf a=-50 \ m/s^{2} \end{gathered}$}}[/tex]
Answer: The acceleration when the ball slows down is -50 m/s².
The uniformly accelerated rectilinear motion, also known as uniformly varied rectilinear motion, is one in which a mobile moves on a straight path being subjected to a constant acceleration.
To calculate the acceleration, we obtain the data:Final Speed (Vf) = 20 m/s
Initial Speed (Vo) = 45 m/s
Time (t) = 0.5 sec
Acceleration (a) = ¿?
To calculate the acceleration, subtract the initial velocity minus the initial velocity, divided by the time.
We apply the following acceleration formula:a = Vf - Vo / tTo solve, we substitute our data into the given formula:
a = 20 m/s - 45 m/s / 0.5 seca = -25 m/s / 0.5 seca = -50 m/s²Answer: The acceleration with which the ball stops is -50 m/s².
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What is the potential energy in J of a bungee jumper standing on a 0.109 km bridge that weighs 85 kg?
Considering the definition of potential energy, the potential energy of the bungee jumper is 90,889.65 J.
Potential energyPotential energy is the energy that measures the ability of a system to do work based on its position. In other words, this is the energy that a body located at a certain height above the ground has.
Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the strength of gravity.
So for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:
Ep= m×g×h
Where:
Ep is the potential energy in joules (J).m is the mass in kilograms (kg).h is the height in meters (m).g is the acceleration of fall in m/s² (approximately 9.81 m/s²).Potential energy in this caseIn this case, you know:
m= 85 kgg= 9.81 m/s²h= 0.109 km= 109 m (being 1 km= 1000 m)Replacing in the definition of potential energy:
Ep= 85 kg × 9.81 m/s² × 109 m
Solving:
Ep= 90,889.65 J
Finally, the potential energy of the bungee jumper is 90,889.65 J.
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A can filled with water, is heated so that water boils. Now seal the mouth with
air – tight cap. Let the can cool. It’s sides get deformed. Explain why?
Answer:
The heat from the water deforms the sides because it melts the plastic
An ice skater performs a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rotation
Moment of inertia decreases about the axis of rotation.
The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration and is calculated by multiplying each particle's mass by its square of distance from the rotational axis.
Means,
I=mr² where,
I= Moment of inertia
m= mass of particle
r= distance of the particle from the axis of rotation.
So, Moment of inertia is directly proportional to the square of the distance from the axis of rotation.
I ∝ r²
As the distance of body from the axis of rotation increases, moment of inertia also increases and vice versa.
So, that's why when an ice skater performs a pirouette (a fast spin) by pulling in his outstretched arms close to his body , then he/she will decrease his/her distance from the axis of rotation.
That's why moment of inertia decreases about the axis of rotation.
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The launching velocity of a missile is 20.0 m/s, and it is shot at 53º above the horizontal. Which of the velocity components (neglecting air resistance) remains constant throughout the flight?
A. Vertical
B. Horizontal
Answer:
The horizontal component of velocity (B) remains constant because no components of the external force act on this component of velocity
(the force of gravity affects the vertical component of velocity)
What is the formula for calculating the efficiency of a heat engine?
Answer: efficiency =WQH=1−TCTH
Explanation: i looked it up
A storage tank 23 m high is filled with pure water. (Assume the tank is open and exposed to the atmosphere at the top) the pressure is 225400 Pa.
Calculate the magnitude of the net force that acts on a square access hatch at the bottom of the tank that measures 0.6 m by 0.6 m.
The force of the body is obtained as 81144 N.
What is pressure?The term pressure is defined as the mass per unit area of a body. We have the pressure at the top of the tank as 225400 Pa and the area of the tank as 0.6 m by 0.6 m.
Thus;
Pressure = Force/Area
Force = Pressure * Area
Force = 225400 Pa * 0.6 m *0.6 m
Force = 81144 N
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How could you describe the motion of the skiers?
Answer:
slows down
Explanation:
slow down and speed up
11. Distinguish between solid and liquid states of matter in terms of intermolecular forces
Answer:
In solid it is high because the molecules are closely packed.
In liquid it is lesser than solids as they are loosely
packed.
In gas it is least because they are very loosely packed
Consider a river flowing toward a lake at an average velocity of 3 m/s at a rate of 510 m3/s at a location 90 m above the lake surface. Determine the total mechanical energy of the river water per unit mass and the power generation potential of the entire river at that location.
The mechanical energy of the river water per unit mass is 887.4 J/kg
The power generated is 452.574 MW.
Given:
Average velocity (v) = 3 m/s
Rate = 510 m³/s
Height (h) = 90 m
We know, that mechanical energy is the sum of potential energy and kinetic energy.
So,
E = [tex]\frac{1}{2}[/tex]×m×v² + m×g×h
and energy per mass unit is
E/m = [tex]\frac{1}{2}[/tex]×v² + g×h
E/m = [tex]\frac{1}{2}[/tex]×3² + 9.81×90
E/m = 887.4 J/kg
So, mechanical energy per unit mass is 887.4 J/kg.
Power generated is expressed as;
Power generated = energy per unit mass ×rate×density
Density of water = 1000 kg/m³
Power generated = 887.4× 510× 1000
Power generated = 452574000 W
So, the power generated is 452.574 MW.
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Find the mass of a body if the acceleration the body used to move is given as 5 m/s-2 and the force of the body is 30N take g=10 m/s-2
The mass of a body if the acceleration the body used to move is given as 5 m/s-2 will be 3 kg.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
Given data;
Force,F = 30 N
Mass,m = kg
Acceleration,a = 5 m/s²
The force is found as;
F=ma
30 N =m kg × 5 m/s²
m=3 kg
Hence the mass of a body will be 3 kg.
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why are experiments often performed in labs?
Answer:
experiments provide course effective means of quantitative process kind of examing the bounds of theory is specially when the Nolan reality is important analysis
Explanation:
regardless of such topic the purpose of laboratory experiment is to test theory occurs by focusing on one server predictive elements of the theory is isolating the influence of elements on outcomes
The heating system in Jeff and Tony's new home takes cool air and passes it through the heat source using a fan or blower. What type of heat do they have
If it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.
What is heat transfer by convection?
Convection is the transfer of heat from one place to another due to the movement of fluid.
During heat transfer by convection, cold air replaces hot risen air.
Thus, if it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.
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A toy rocket with a mass of 300 g takes off in a vertical direction under the influence of gravity. It burns fuel at the rate of 25 g/s. The exhaust speed of the gases is 80 m/s. What is the speed of the rocket at the end of 10 seconds
The speed of the rocket at the end of 10 seconds is 66.7 m/s.
Speed of the rocket at end of 10 secondsThe speed of the rocket at the end of 10 seconds is calculated as follows;
F = mv/t
where;
F is the force of the rocketv is velocity of the rockett is time of motionm is mass of the rocketF = (m/t)v
F = (0.025 kg /s) x 80 m/s
F = 2 N
Acceleration of the rocketF = ma
a = F/m
a = 2/(0.3)
a = 6.67 m/s²
Velocity after 10 secondsv = at
v = 6.67 x 10
v = 66.7 m/s
Thus, the speed of the rocket at the end of 10 seconds is 66.7 m/s.
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A circular solenoid contains 100 turns of wire and carries a current of 2 A. Its radius is 1 cm and its length is 10 cm. Calculate the magnetic flux through one turn of the wire making the solenoid.
The magnetic flux through one turn of the wire making the solenoid is 7.88*10^-7 T m^2.
B = unI
= 4pi*10^-7*(100/0.1)*2
= 0.00251 T
Therefore, Flux = B*Area
= 0.00251*pi*(0.01^2)
= 7.88*10^-7 T m^2
Magnetic flux is a measurement of the entire magnetic discipline which passes thru a given vicinity. It's far a useful device for helping describe the outcomes of the magnetic pressure on something occupying a given vicinity. The size of the magnetic flux is tied to the specific location chosen.
The SI unit of magnetic flux is the Weber (Wb). A flux density of 1 Wb/m2 (one Weber in keeping with rectangular meter) is one Tesla (T).
A magnetic subject describes a location in which a magnetic pressure may be felt. Magnetic flux describes how a good deal of magnetic discipline passes through a place.
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