A boat moves north at a speed of 2. 7 m/s across a river that flows west at a rate of 1. 2 m/s What is the boat's speed relative to the riverbank?
Answers
A boat moves north at a speed of 2.7 m/s across a river that flows west at a rate of 1.2 m/s. This question can be solved using vector addition. The boat's velocity relative to the riverbank can be determined by adding its velocity vector to the river's velocity vector.
The resultant of these two vectors is the boat's velocity relative to the riverbank. The magnitude of the boat's velocity relative to the riverbank is given byv² = u² + w², where
v = velocity of the boat relative to the riverbank
u = velocity of the boat across the river
w = velocity of the riverv² = (2.7)² + (1.2)²v² = 7.29 + 1.44v² = 8.73v = √8.73v = 2.96 m/s
Therefore, the boat's speed relative to the riverbank is 2.96 m/s.
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Related Questions
Why would companies want their sunscreen to absorb nearly all of the UV light?
Answers
Answer:
Sunscreen is like a shield, you would want a better shield to protect you than a weak one so companies try to make their sunscreen better than the rest.
Explanation: UV light is very dangerous to the skin so it helps with sunburn,skin sensitivity,etc.
Low-energy lightbulbs currently cost $3.60, have a life of 9 years, and currently use $2.00 of electricity per year. Conventional lightbulbs are cheaper to buy; they currently cost only $0.60. On the other hand, they last only 1 year and currently use $7.00 of electricity per year. If the real discount rate is 4%, what are the EACs for each lightbulb? Which lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb? a. EAC( Low-energy lightbulb )=2.48 EAC( Conventional lightbulb )=7.62 Low-energy lightbulb is cheaper to operate b. EAC( Low-energy lightbulb )=3.60 EAC( Conventional lightbulb )=0.60 Conventional lightbulb is cheaper to operate c. EAC( Low-energy lightbulb) =2.00 EAC( Conventional lightbulb )=7.33 Low-energy lightbulb is cheaper to operate d. EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate
Answers
EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate. Option D
Energy cost calculationTo calculate the Equivalent Annual Costs (EAC), we need to consider the initial cost, maintenance costs, and the present value of future costs, taking into account the discount rate.
The EAC (Equivalent Annual Cost) is calculated by summing up the annual costs of the lightbulb over its lifetime, discounted at the real discount rate of 4%.
For the low-energy lightbulb:
EAC = Cost of bulb + Present value of annual electricity cost
= $3.60 + ($2.00 / (1 + 0.04)^1) + ($2.00 / (1 + 0.04)^2) + ... + ($2.00 / (1 + 0.04)^9)
≈ $18.47
For the conventional lightbulb:
EAC = Cost of bulb + Present value of annual electricity cost
= $0.60 + ($7.00 / (1 + 0.04)^1) + ($7.00 / (1 + 0.04)^2) + ... + ($7.00 / (1 + 0.04)^1)
≈ $7.33
Since the EAC for the low-energy lightbulb is $18.47 per year and the EAC for the conventional lightbulb is $7.33 per year, the conventional lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb.
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Examples
A Spiral Spring is compressed by 0.0am. Calculate the
energy stored in
ed in the Spring
Spring, ift
ng, if the force Constant is toor
solution
Answers
A spiral spring is compressed by 0.5 cm. The energy stored in the spring can be calculated using the formula \(E=1/2*k*x^2\). Given that the force constant is 200 N/m, we can calculate the energy stored in the spring to be 0.00025 J.
A spiral spring is compressed by 0.5 cm. Calculate the energy stored in the spring if the force constant is 200 N/m.The energy stored in the spring can be calculated using the formula: \(E=1/2*k*x^2\), where E is the energy stored, k is the force constant, and x is the displacement of the spring from its equilibrium position. Given that the spring is compressed by 0.5 cm, which is 0.005 m, and the force constant is 200 N/m, we can calculate the energy stored in the spring as follows: \(E = 1/2 * 200 N/m * (0.005 m)^2\) E = 0.00025 JTherefore, the energy stored in the spring is 0.00025 J. This means that when the spring is released, it will convert this energy into kinetic energy as it returns to its equilibrium position.For more questions on spring
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A horse runs 800 meters in 320 seconds.
What is the average speed of the horse during this time?
0 25.0 m/s
O 8.0 m/s
O 12.5 m/s
O 4.0 m/s
Answers
The average speed of the horse is 2.5 m/s
The average speed of the horse can be calculated using the formula below.
Speed:This can be defined as the ratio of distance to time. the S.I unit is m/s.
Formula:S = d/t.................... Equation 1Where:S = average speed of the horsed = distance covered by the horset = time taken to cover the distanceFrom the question,
Given:d = 800 metert = 320 seconds.Substitute these values into equation 1
S = 800/320S = 2.5 m/sHence, The average speed of the horse is 2.5 m/s
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If Bulb B burns
out, what happens?
A Bulb A and C will stay lit.
Answers
Answer: C
Explanation:
Since bulb B is burnt out, the wires can't transfer to bulb A, so that's why bulb A will burn out.
If I get it wrong, sorry. Im still learning.
Chef Andy tosses an orange in the air, then catches it again at the same height. The orange is in the air for 0.75\,\text s0.75s0, point, 75, start text, s, end text. We can ignore air resistance.
What was the orange's velocity at the moment it was tossed into the air?
Answers
Answer:
90.82%digrash silsho
What happens in synthesis
Answers
Answer:
S phase or Synthesis
Explanation:
Is the phase of the cell cycle when DNA packaged into chromosomes is replicated. This even is an essential aspect of the cell cycle because replication allows for each cell created by cell division to have the same genetic make-up.
Hope this helps!!
What happens when a sound wave passes from water into air
Answers
Answer:
Explanation:
Sounds travel faster in object having high density proportion or matter. This is because particles vibrates and causing the other particle near to as well vibrate. Hence, when sound is moving from a higher dense medium like Water, the rate of traveling is high compare to it moving in air with less dense.
this si a 2 part question84) A shock absorber is designed to quickly damp out the oscillations that a car would otherwise make because it is suspended on springs. (a) Find the period of oscillation of a 1610-kg car that is suspended by springs that make an effective force constant of 5.75×104 N/m. (b) Find the damping constant b that will reduce the amplitude of oscillations of this car by a factor of 5.00 within a time equal to half the period of oscillation.
Answers
Given data
*The given mass of the car is m = 1610 kg
*The given effective force constant is k = 5.75 × 10^4 N/m
(a)
The formula for the period of oscillation of a 1610 kg car is given as
\(T=2\pi\sqrt[]{\frac{m}{k}}\)Substitute the known values in the above expression as
\(\begin{gathered} T=2\times3.14\times\sqrt[]{\frac{1610}{5.75\times10^4}} \\ =1.05\text{ s} \end{gathered}\)Hence, the time period of oscillation of a 1610 kg car is T = 1.05 s
(b)
As from the given data, the amplitude of the oscillation of the car decreases by a factor of 5.00. Then, the expression for the amplitude of the oscillation, and the damping constant (b) is calculated as
\(A=A_0e^{-\frac{bt}{2m}}\)Substitute the known values in the above expression as
\(\begin{gathered} \frac{A_0}{5.0}=A_0e^{-\frac{bt}{2m}} \\ bt=2m\ln (5.0)_{} \\ b(\frac{T}{2})=2m\ln (5.0) \\ b=\frac{4m\ln (5.0)}{T} \\ =\frac{4\times1610\times\ln (5.0)}{1.05} \\ =9871.2\text{ kg/s} \end{gathered}\)Hence, the damping constant is b = 9871.2 kg/s
A driver brings a car to a full stop in 2.0 s. If the car was
initially travelingat 22 m/s, what is the acceleration?
Answers
Two speakers that are 15.0 mproduce in-phase sound waves of frequency 250.Hz in a roomwhere the speed of sound is 340. m/s. A woman starts out at the midpoint between the two speakers.a.What does she hear at the midpoint, constructive or destructive interference?b.She now walks slowly towards one of the speakers. How far from the center must she walk before she first hears the sound reach a minimum intensity?c.How far from the center must she walk before she first hears the sound at a maximum intensity?d.How far from the center must she walk before the second time she hears the sound at the minimum intensity?
Answers
Answer:
a. Constructive interference.
b. \(0.34\; \rm m\).
c. \(0.68\; \rm m\).
d. \(1.02\; \rm m\).
Explanation:
Frequency of this sound wave: \(f = 250\; \rm Hz = 250\; \rm s^{-1}\).
Speed of this sound wave: \(v = 340\; \rm m \cdot s^{-1}\).
Calculate the wavelength of this sound wave:
\(\begin{aligned} \lambda &= \frac{v}{f} \\ &= \fraac{340\; \rm m \cdot s^{-1}}{250\; \rms^{-1}} \approx 1.36\; \rm m\end{aligned}\).
Path difference refers to the absolute value of the difference between:
the distance between the first source (the first speaker) and the observer, andthe distance between the second source (the second speaker) and the observer.When the observer in this question is on the line between the two speakers at \(d\) meters from the midpoint, the corresponding path difference would be \(2\; d\) meters. (Add \(d\!\) to the distance from the closer source, and subtract \(d\!\!\) from the distance from the other source.)
The question states that sound from the two speakers are in-phase. In other words, at every instant, the sound wave from the two speakers are at the same phase at the position of each speaker.
Because wave from the two sources are in-phase at the source:
Constructive interference happens when the path difference is an integer multiple of wavelength (\(k\, \lambda\), where \(k\) is an integer.) That includes: \(0\), \(\lambda\), \(2\, \lambda\), etc.Destructive interference happens when the path difference is an one-half plus some integer multiple of wavelength (\((k + 1/2) \, \lambda\), where \(k\) is an integer.) That includes: \(\lambda / 2\), \(3\, \lambda / 2\), \(5\, \lambda / 2\), etc.Path difference is \(0\) when the observer is at the midpoint. That would correspond to constructive interference.
The first destructive interference (minimum intensity) corresponds to a path difference of \(\lambda / 2\). Along the line, that would be observed at \((1/2) \cdot (\lambda / 2) = 0.34\; \rm m\) from the midpoint.
The next constructive interference (maximum intensity) would be observed when path difference is \(\lambda\). Along the line, that would be observed at \((1/2)\cdot \lambda = 0.68\; \rm m\) from the midpoint.
The second destructive interference (minimum intensity) would be observed when path difference is \((1 + (1/2))\, \lambda\). Along the line, that would be observed at \((1/2) \cdot ((3/2)\cdot \lambda) = 1.02\; \rm m\) from the midpoint.
Why do electrons stay around the nucleus of an atom?
Answers
Answer:
the nucleus of the atom is positively charged and the electrons are negatively charged, they are attracted to each other...
Answer:
There are 2 different types of neutrons. Negative and positive. They are both fighting over the atom. The atom doesn't know who to pick! The happy one? Or the emo one? They are both staying close because they don't want to lose this fight. (Actual answer below)
Explanation:
When there are too many protons, some of the outer protons are loosely bound and more free to react with the electron. But most atoms do not have too many protons, so there is nothing for the electron to interact with. As a result, each electron in a stable atom remains in its spread-out wavefunction shape.
An 80-kg student collides with a padded wall in the gymnasium while moving at 6.0 m/s.
Because he collided with a padded wall instead of a concrete wall, the time of collision was
increased by a factor of 10. What affect does this increase in collision time have upon the
force and the impulse that he experiences? Select two answers.
1. Colliding with the padded wall will make the force 10 times greater.
2. Colliding with the padded wall will make the force 10 times smaller.
Answers
Answer:
2. Colliding with the padded wall will make the force 10 times smaller
Explanation:
Impulse is the product of force and time. Its units are those of momentum. Assuming the change in momentum (impulse) remains the same, the increase in time means the force will be decreased by the same factor.
Colliding with the padded wall will make the force 10 times smaller
PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (80pts)
Answers
Answer:
HOPEFULLY i am correct but i say its D. Hopefully I helped!✨
Answer: It can be A or B
Explanation: In physics, motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time.
Can you please tell me the answer
Answers
Answer:
Explanation:
s=d/t
7.5 times 10^10/8.0 times 10^6=9.375 times 10^15
Hope this helps
In a ______ solar system, the planets orbit around the sun.
A. Geocentric
B. Monolithic
C. Heliocentric
D. Pericentric
Answers
Have a good day!
three capacitors (4.2, 8.5, and 16.3 f) are connected in series across a 50.0-v battery. find the voltage across the 4.2-f capacitor.
Answers
The voltage across the 4.2 F capacitor is 28.25 V.
To find the voltage across the 4.2 F capacitor, we can use the formula:
\(V = \frac{Q}{C}\)
Where V is the voltage, Q is the charge on the capacitor, and C is the capacitance.
We know:
C₁ = 4,2 F.C₂ = 8,5 F.C₃ = 16,3 F.Q = 50,0 VFirst, sing the formula for capacitance in series, we can find the total capacitance:
\(\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{c_3} \\ \frac{1}{C_{total}} = \frac{1}{4,2} + \frac{1}{8,5} + \frac{1}{16,3}\\ \frac{1}{C_{total}} = 0,4213\\ C_{total} = 2,3728 F\)
Now we can use the formula for the total charge on the capacitors:
\(Q = C_{total} . V\\Q = 2.3728 F . (50.0 V)\\Q = 118.64 nC\)
Since the charge is the same on each capacitor, we can use the formula for voltage on a capacitor to find the voltage across the 4.2-f capacitor:
\(V_{4,2} = \frac{Q}{C_{4,2}} \\V_{4,2} = \frac{118.64 nC}{4,2F} \\V_{4,2} = 28.25 V\)
Therefore, the voltage across the 4.2 F capacitor is 28.25 V.
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Starting from rest, a freely falling object falls 125 meters in?
Answers
Answer:
5.05 sec
Explanation:
h = 1/2gt²
solve for t:
t² = (2h)/g
t = √(2h)/g = √((2)(125 m)) / (9.8 m/s²) = 5.05 s
what is the work done on the ball by the 10 n tension force in the string during one revolution of the ball?
Answers
The work done on the ball by the 10 N tension force is zero ( 0 Joules).
Given that:
The circumference(displacement d) of the ball = 3 m
the tension force of the ball = 10 N
the angle θ between the tension force and the displacement =90°
∴Using the work equation;
W = F × d cos θ
W = 10×3× cos (90)
W = 10 × 3 × 0
W = 0 Joules
The definition of work done includes both the forces applied to the body and the total displacement of the body. A constant force F is present before to this block. The goal of this force is to move the body d meters in a straight line in the force's direction.
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in an electrical charge, some charges would repel one another. which is an example of electrical charges that would repel one another?
Answers
In an electrical charge, like charges would repel one another.
An example of electrical charges that would repel one another is two positive charges or two negative charges. Like charges have the same polarity, that is, they have the same charge, and they would repel one another. It's essential to understand the concept of electrical charges in order to understand this concept.
Electric charge is a fundamental property of matter, and it can exist in two types: positive and negative. Like charges repel one another, whereas opposite charges attract one another. The reason why charges attract or repel is that they produce electric fields that interact with other charges.
It is important to note that the magnitude of the electric field is inversely proportional to the square of the distance between two charges.
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(c) Life testing was made on six non-replaceable) electrical lamps and the following results were obtained. Calculate MTTF. (5 Marks)
Answers
MTTF or Mean Time to Failure can be calculated using the given data. The term MTTF is often used to describe the expected lifetime of electronic devices and other items.
Here is how to calculate MTTF when given data:(c) Life testing was made on six non-replaceable) electrical lamps and the following results were obtained.
Calculate MTTF.The following data has been given:Number of lamps, n = 6Total time, T = 10000 hoursFailures, f = 2MTTF formula is given as:MTTF = T / n * fWhere, T = total time during which the test was conducted.n = the number of items tested.f = the number of items failed.Using the given data, we can calculate the value of MTTF as follows:MTTF = T / n * f = 10000 / 6 * 2= 1666.67 hoursTherefore, the MTTF of the six non-replaceable electrical lamps is 1666.67 hours.
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I n it in 20 minutes
JL.61 A producer of refrigerator compressors wants to implement
a just-in-time production line to support demand from a neighboring
appliance manufacturer. Demand from the applian
Answers
The producer of refrigerator compressors needs to determine the number of kanbans required for implementing a just-in-time production line to meet the demand for 150 compressors per day from a neighboring appliance manufacturer.
To calculate the number of kanbans required, we need to consider the production lead time, safety stock factor, and optimal production quantity. The production lead time is 5 days, which means that it takes 5 days to produce a batch of compressors once the production process starts.
The safety stock factor is 17%, indicating that the producer wants to maintain an additional 17% of the daily demand as safety stock to mitigate any unforeseen fluctuations. The optimal production quantity is 95 units, which is the batch size that minimizes setup costs.
To determine the number of kanbans, we first need to calculate the total demand during the production lead time. Since the demand is 150 compressors per day and the lead time is 5 days, the total demand during the lead time is 150 compressors/day * 5 days = 750 compressors. Adding the safety stock, the total demand becomes 750 compressors + (17% * 150 compressors) = 750 compressors + 25.5 compressors = 775.5 compressors.
Next, we divide the total demand by the optimal production quantity to get the number of kanbans required. The number of kanbans is calculated as 775.5 compressors / 95 compressors per kanban = 8.16 kanbans. Since we cannot have a fraction of a kanban, we round up to the nearest whole number. Therefore, the producer of compressors requires 9 kanbans to meet the demand of 150 compressors per day from the neighboring appliance manufacturer.
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The complete question is:
A producer of refrigerator compressors wants to implement a just-in-time production line to support demand from a neighboring appliance manufacturer. Demand from the appliance manufacturer is for 150 compressors a day. The production lead time is 5 days and the producer wants to have a 17% safety stock factor. This producer has also cut setup costs such that the optimal production quantity is 95 units. How many kanbans does this producer of compressors require?
How is the answer D?
Answers
The graph that corresponds to 0.1 s in one complete cycle is graph D.
option D is the correct answer.
What is the period of a wave?The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.
Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.
From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;
Period = 1 s / 10
Period = 0.1 s
From the graphs, the only option that has one complete cycle in one second is option D.
Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.
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While rolling on the pool table, ball X has 16.00 J of kinetic energy. It collides with identical ball Y and ball X stops, but ball Y moves on with 15.75 J of kinetic energy. What causes the loss of energy?
Answers
Inelastic collision and a host of other factors causes the loss of energy.
What is kinetic energy?Kinetic energy of an object is the energy that it possesses due to motion.
It can be defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. When it has gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
In an inelastic collision which is the case of ball X and Y, the kinetic energy of the system is not conserved. The energy that you find lost has been dissipated as other forms of energy. This can be heat, friction, vibrational energy transferred to atoms of the colliding particles, energy lost to deform the atomic structure etc.
In conclusion, the inelastic collision nature of the two balls results in the loss of energy through different forms.
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help pls !!! Which statement is true for nuclear reactions but not for chemical reactions?
Answers
Answer:
D
Explanation: this is why they have so much more energy released
During nuclear reactions, there is a loss in mass as some mass of the atoms involved is converted to energy.
What are nuclear reactions?Nuclear reactions are reactions which involves changes in the nucleus of of atoms of elements.
Nuclear reactions release a large amount of energy far greater than in chemical reactions.
Nuclear reactions are of two types:
Nuclear fusion, andNuclear fissionDuring nuclear reactions, there is a loss in total mass of the particles as some of the mass is converted to energy.
Therefore, in nuclear reactions, some mass of the atoms involved us converted to energy.
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the wire in the drawing carries a current of 14 A. Suppose that a second long, straight wire is placed right next to this wire. The current in the second wire is 30 A. Use Ampere's law to find the magnitude of the magnetic field at a distance of r
Answers
The magnitude of the magnetic field at a distance r is given by 8 × 10^-6 T·m divided by r.
Ampere's law states that the line integral of the magnetic field around a closed loop is equal to the product of the current enclosed by the loop and the permeability of free space.
In this case, we have two parallel wires carrying currents of 14 A and 30 A. Let's consider a closed loop around the first wire. The current enclosed by this loop is 14 A. Applying Ampere's law, we have:
∮B⋅dl = μ₀ × 14 A
The left-hand side of the equation represents the line integral of the magnetic field around the loop. The right-hand side represents the product of the current and the permeability of free space, μ₀.
Since the wires are parallel and right next to each other, the magnetic field due to the first wire will be in the opposite direction to the magnetic field due to the second wire. Therefore, the net magnetic field at a distance r from the wire will be the difference between the magnetic fields due to the two wires.
Using the Biot-Savart law, we can find the magnetic field due to each wire at a distance r. The magnetic field due to a long, straight wire is given by:
B = (μ₀ × I) / (2π × r)
Plugging in the values, we get:
B1 = (μ₀ × 14 A) / (2π × r)
B2 = (μ₀ × 30 A) / (2π × r)
The net magnetic field Bnet at a distance r from the wire is the difference between B2 and B1:
Bnet = B2 - B1
Simplifying the equation, we have:
Bnet = [(μ₀ × 30 A) - (μ₀ × 14 A)] / (2π × r)
Bnet = (μ₀ × 16 A) / (2π × r)
Finally, we can substitute the value of the permeability of free space, μ₀, which is approximately 4π × 10^-7 T·m/A, to find the magnitude of the magnetic field Bnet at a distance r:
Bnet = (4π × 10^-7 T·m/A × 16 A) / (2π × r)
Bnet = (8 × 10^-6 T·m) / r
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find an equation of the plane. the plane through the point (1, −5, −9) and parallel to the plane 9x − y − z = 1
Answers
To find the equation of a plane through a given point and parallel to another plane, we can use the following steps:
1. Find the normal vector of the given plane.
2. Use the normal vector and the given point to write the equation of the desired plane.
Given:
Point on the desired plane: P(1, -5, -9)
Equation of the parallel plane: 9x - y - z = 1
Step 1: Finding the normal vector of the parallel plane
The coefficients of x, y, and z in the equation 9x - y - z = 1 represent the components of the normal vector. Thus, the normal vector of the parallel plane is N_parallel = (9, -1, -1).
Step 2: Writing the equation of the desired plane
The equation of a plane can be written in the form ax + by + cz = d, where (a, b, c) represents the normal vector of the plane, and (x, y, z) are the coordinates of any point on the plane.
Using the given point P(1, -5, -9) and the normal vector N_parallel = (9, -1, -1), we can write the equation of the desired plane:
9x - y - z = d
To determine the value of d, we substitute the coordinates of the point P into the equation:
9(1) - (-5) - (-9) = d
9 + 5 + 9 = d
d = 23
Therefore, the equation of the plane through the point (1, -5, -9) and parallel to the plane 9x - y - z = 1 is:
9x - y - z = 23
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How could a man be severely injured beig hut by some tomatoes?
Answers
Answer:
he can fall down
Explanation:
he could fall down because of the tomatoes and do notice he has fallen down because of them
Name: DervicaBelton
Active Physics
Date: 2
Newton's Second Law Practice Problems
Answer the following questions. Fill in the magic triangle to organize the math!
1. If an 10 kg object accelerates at 15 m/s/s how much force was exerted on the object?
= 150
F
m = 10 kg
15m/s/s
a =
15
Answers
m=10kg
a=15m/s/s
F=?
Newton’s Second Law: F=ma
F=(10)(15m/s/s)
F=150
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