our boat is moving at a speed of 15 miles per hour at an angle of 25 ∘ upstream on a river flowing at 4 miles per hour as illustrated in the figure to the right. a) Find the vector representing your boat's velocity relative to the ground. Express the vector is terms of i and j.

Answers

Answer 1

The velocity of the boat relative to the water can be found using trigonometry. The vector representation of the velocity of boat is

9.86 i + 6.38 j miles per hour where i and j are the unit vectors in the horizontal and vertical directions, respectively.

The speed of the boat relative to the water is given as 15 miles per hour, and the angle of 25 degrees is the angle between the boat's velocity and the direction of the river's flow.

The horizontal component of the boat's velocity relative to the water is:

15 ×cos(25) = 13.86 miles per hour

The vertical component of the boat's velocity relative to the water is:

15 × sin(25) = 6.38 miles per hour

The velocity of the river can be considered as a vector with a magnitude of 4 miles per hour and a direction opposite to the boat's motion.

The vector representing the boat's velocity relative to the ground is the vector sum of the boat's velocity relative to the water and the velocity of the river.

The horizontal component of the boat's velocity relative to the ground is:

13.86 - 4 = 9.86 miles per hour

The vertical component of the boat's velocity relative to the ground is:

6.38 + 0 = 6.38 miles per hour

Thus, the vector representing the boat's velocity relative to the ground can be expressed as:

9.86 i + 6.38 j miles per hour

where i and j are the unit vectors in the horizontal and vertical directions, respectively.

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Related Questions

As a 4-10 solar mass star leaves the main sequence on its way to becoming a red supergiant, its luminosity:____.

Answers

As a 4-10 solar mass star leaves the main sequence on its way to becoming a red supergiant, its luminosity: remains roughly constant.

A common unit of mass used in astronomy is the solar mass (M), which is around 2 1030 kg. It is frequently used to denote the masses of black holes, galaxies, stellar clusters, nebulae, and other objects. Its mass is comparable to that of the Sun.

A solar mass is the fundamental unit of mass used by astronomers. It makes more sense to talk about such cosmic objects in terms of solar masses rather than a much smaller measure, such as kilos, because the majority of things in space are enormous and heavy, such as stars, galaxies, and black holes.

When a moderately big star, ranging in size from 8 to 40 solar masses, runs out of hydrogen shells around the core heat up sufficiently to start fusion.n fuel, it evolves off the main sequence and switches to fusing helium in its core, resulting in the formation of a red supergiant. This causes the star's radius to increase, which lowers the star's temperature.

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Newton’s second law of motion is also known as law of _____

Answers

Newton’s second law of motion can also be knows as the law of acceleration

I’ll give u BRAINLIEST PLEASE!! HURRY

Ill give u BRAINLIEST PLEASE!! HURRY

Answers

Answer:

C

Explanation:

Marina walked 2km in half an hour, what was her average speed during her walk?

Answers

Answer:

4km/hr

Explanation:

A dropped object near the earth will accelerate downward at 9.8 m/s2. (Use -9.8 m/s2.) If the initial velocity is 1 m/s downward, what will be its velocity at the end of 3 s? Is it speeding up or slowing down?

Answers

The velocity after 3 seconds is 30.4 m/s and it speeds up.

What is the speed?

We know that when a body is dropped from a height, it would accelerate as it falls to the earth. This is because the force of gravity attracts objects towards the enter of the earth and makes them to speed up.

Using the formula;

v = u + gt

v =  ??

u = 1 m/s

t = 3 s

g = 9.8 m/s2

Thus;

v = 1 + (9.8 * 3)

v = 30.4 m/s

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one joule of energy used each second is equal to ? of work.

Answers

Exactly, 1 Joule of energy per second is what is used to define a Watt. Joules and seconds, respectively, are the SI units for time and work. A power of 1 Joule per second was used to define a Watt.

A one newton (N) force applied over a one meter distance does one joule's worth of work (or energy) (m).. To put it simply, it requires approximately 1 joule of energy to raise a 3/4 pound weight 1 foot off the ground or to drag something 1 foot using a parallel pulling force of 3/4 pound. According to this definition from physics, 1 volt is the same as 1 joule of electric potential energy divided by 1 coulomb of charge. The power unit is the watt. According to this, 1 joule of labor is completed in 1 second. It is, in essence, the ability of an appliance to use energy at a rate of 1 joule per second.

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Analyze the chemical reaction below
16 g CH4 + 64 g O2 → 44 g CO2 + 36g H2O
Explain the law of conservation of mass and describe how the equation represents the law of conservation of mass.

Answers

Answer:

Explanation:

The law of conservation of mass states that the mass of the elements at the beginning of the reaction(reactants) will equal the mass at the end of the reaction (product) .

In the chemical equation above,the total mass of the reactants is 80g(16+64) and the total mass of the products is also 80g(44+36).therefore the mass remained constant and that's how the equation represents the law of conservation of mass

CO + 7H2 - C3Hg + 3H20

Answers

Answer:

Espanol 7h2 that's c coupon

What is carried by a wave?

Answers

Waves carry energy from one place to another. Because waves carry energy, some waves are used for communication, eg radio and television waves and mobile telephone signals. ... Some types of waves need to be transmitted through matter, either a solid, liquid or a gas. For example, water waves have to travel in water.

Answer

Energy

Explanation

wave is a disturbance which travels through a medium carrying energy from one point to another without causing any permanent displacement in that medium. So energy is carried by a wave.

assume that you come in contact with a 120 v electrical circuit. the current (in milliamps) with the above voltage through wet (contact resistance of 1,000 ohms) hands is:

Answers

The current through wet hands when in contact with a 120 V electrical circuit would be 120 milliamps (mA).

Voltage (V) = 120 V

Resistance (R) = 1,000 ohms

According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them. According to Ohm's Law, we can compute the electrical current in a circuit by dividing the voltage by the resistance. If the resistance is reduced, the current will alter.

Calculating the current by using Ohm's law -

I = V / R

Substituting the values:

I = 120 / 1,000

= 0.12 A

Converting 0.12 A to milliamps by multiplying by 1,000 -

= 0.12 x 1,000

= 120

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The car travels 28m in 7s. What is the speed of the car?

Answers

The Speed of the car is 4m/s.

What is the speed?

The speed of an object can be defined as the total distance traveled by it in a particular interval of time. This can be determined by dividing the total distance moved by the object by the time taken to move.

It is the ratio of distance in m and time taken by the object to travel in seconds.

Hence: Distance D=28m

Time       T=7s

Speed S=D/T                            

S=28m/7S                          

S=4m/S

Therefore car's  speed is 4m/S

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The speed of the car is 4m/s

What is speed?

Speed is the rate of change of distance with time.

It is a scalar quantity and it's S.I unit is given as m/s. Distance is the space or gap between two point. Speed can generally be defined as the distance travelled per a given time

From the definition, speed = distance/time

distance is 28m and time is 4s, therefore

Speed = 28/4= 7m/s.

Therefore the speed of the car is 7m/s

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How does she explain the activity of uranium when amounts of this element are changed? how does she describe the activity of uranium when physical changes of state or chemical transformations occur? which summary statement does she make to describe the property of radioactivity?.

Answers

Answer:

What to include in the answer:

Results from edg 2022

Explanation:

Did you include this in your answer?

Chemical compounds are active in direct proportion to the amount of uranium in them.

Activity is not destroyed by physical changes of state or chemical transformations.

Radioactivity is an atomic property of matter.

It can be said that wave length and frequency are _____________ to each other.
A. Indirectly related
B. Directly related
C. Friendly
D. Not at all related

If forces are unbalanced, what is one thing about the object that can change?
A. Location
B. Direction
C. Volume
D. Shape



All moving objects have ____________.
A. Distance
B. Force
C. Time
D. Momentum

Answers

Answer:

1. directly related 2. C 3. D

Explanation:

Answer:

1. A

2. B

3. D

Explanation:

im not 100% sure so if any of these are wrong i apologize

does this mean that positive charges create positive fields and negative charges create negative fields?

Answers

Yes, that is correct because, Positive charges create positive electric fields, and negative charges create negative electric fields.

The force of the field is determined by the magnitude of the charge and the distance from the charge. Electric fields generated by a positive charge will repel other positive charges, and attract negative charges, while electric fields generated by a negative charge will repel other negative charges, and attract positive charges.

Electric fields are a physical field that surrounds electrically charged particles and exerts force on all other charged particles in the vicinity. The electric field is defined as the electric force per unit charge. It is measured in volts per meter (V/m) and is calculated by dividing the electric force by the charge of the particle.

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using a ring collar the 75-n force can act in the vertical plane at various angles θ. determine the magnitude of the moment it produces about point a if θ

Answers

The magnitude of the moment produced about point A by the 75 N force at various angles θ in the vertical plane can be calculated using the formula Moment = Force x Distance.

The moment produced by a force about a point can be calculated using the formula:

Moment = Force x Distance

In this case, the force is 75 N and it can act at various angles θ in the vertical plane. To determine the magnitude of the moment it produces about point A, we need to know the distance between the force and point A.

Assuming the distance between the force and point A is d, the moment can be calculated as:

Moment = 75 N x d

Please provide the value of d in order to calculate the moment accurately.

The magnitude of the moment produced about point A by the 75 N force at various angles θ in the vertical plane can be calculated using the formula Moment = Force x Distance.

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Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who has a mass of 40 kg, is traveling in the opposite direction at 5 m/s. They crash into each other and hold onto each other so that they move as one mass. How fast are they traveling?

Answers

Answer:

-0.37m/s

Explanation:

work out the momentum of both kids

amy : 55 x 3 = 165kg m/s

jenny: 40x - 5 = -200kg m/s

add the momentum then divide it by the total weight so its

-35/95 = -0.37 m/s

hope this helps!!

fast moving rivers of air which move at 75 to 150 miles per hour

Answers

Fast moving rivers of air, known as jet streams, can reach speeds of 75 to 150 miles per hour (mph).

Determine the Jet streams?

Jet streams are narrow bands of strong winds that flow in the upper levels of the atmosphere, typically between 25,000 and 35,000 feet above the Earth's surface.

These high-speed air currents are driven by the temperature and pressure gradients in the atmosphere, particularly between warm and cold air masses.

The jet streams flow in a wavy pattern from west to east, influenced by the rotation of the Earth and atmospheric conditions. They can extend thousands of miles in length and a few hundred miles in width.

Jet streams play a crucial role in weather patterns, affecting the movement of storms and the distribution of temperature and precipitation.

Aviation and weather forecasting heavily rely on understanding and monitoring the jet streams. Their high speeds can benefit air travel by reducing flight times for planes flying with the jet stream and increase fuel efficiency.

However, flying against the jet stream can result in longer flight durations and higher fuel consumption.

In summary, jet streams are fast-moving rivers of air with speeds ranging from 75 to 150 mph. They are important atmospheric phenomena that impact weather patterns and have implications for aviation and weather forecasting.

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how can the conductivity of a semiconductor be increased?

Answers

Reduce the temperature

0.43 kg What is the weight

Answers

Answer: 4.214 N

Explanation: Given Mass = .43kg

Weight  = mxa ...........(On earth a= 9.8 m/s2)

so .43X 9.8 = 4.214 N

as SI unit of weight if N

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Based on this cell from the periodic table, which statement is true for the
element magnesium?

A. A magnesium atom contains 12 protons, and neutral magnesium
atoms contain 24 electrons.
B. A magnesium atom contains 12 protons, and most magnesium
atoms contain 12 neutrons.
C. The atomic number of magnesium is 24.3, and its atomic mass is
12
D. The atomic number of magnesium is 12, and its average atomic
mass is 12

Based on this cell from the periodic table, which statement is true for theelement magnesium?A. A magnesium

Answers

Answer: B

Explanation:

The top number is its atomic number, also known as the number of protons in the atom.

The bottom number is the atomic mass, which is the sum of the number of protons and neutrons.

Based on this cell from the periodic table C. The atomic number of magnesium is 24.3, and its atomic mass is 12 is true

What is atomic and mass number ?

Upper part represents mass number which is sum of protons and neutrons

Lower part represents atomic number which is number of electron

number of electrons are equal in number of protons for a neutral atom and

from image it can be concluded that correct answer will be

C. The atomic number of magnesium is 24.3, and its atomic mass is

12

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an important aspect of models is that they connect to natural selection phenomena drawings

Answers

Answer:

well its about explaining and understanding

Explanation:

Finding a model that fits a phenomenon is what we mean by “explaining” or “understanding” that phenomenon. Once models are accepted, they allow scientists to communicate and understand each other because they provide a common, shared mental picture of a phenomenon.

explain why a person standing on a boat is likely to fall into the water when attempting to jump to the shore

Answers

Due to the conservation of energy, a person standing in the boat will likely fall into the water while trying to jump ashore.

When people jump out, they use some energy to propel the boat.

According to Newton's third law of motion, there is a reaction that pushes people back between the balance and the opposite direction.

This exercise moves the boat in a different direction without jumping.

The person will fall into the water as the boat is still going with him when it stops, and because his energies are pushing him forward when the boat stops.

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a woodchuck runs 19 m to the right in 4.8 s, then turns and runs 12 m to the left in 5 s. Part (a) What is the magnitude of the average velocity of the woodchuck in m/s?
v=____. PART B What is its average speed in m/s?

Answers

The magnitude of the average velocity of the woodchuck is 0.71 m/s. The average speed of the woodchuck is 3.2 m/s.

Right distance = 19m

Time is taken to cover distance = 4.8s

Left distance = 12m

Time is taken to cover distance = 5s

total displacement = 19 m to the right - 12 m to the left = 7 m to the right

A. To calculate the magnitude of the average velocity, we need to find the total displacement and divide it by the total time.

The total time it took for the woodchuck to run both distances is:

The total time = 4.8 s + 5 s

The total time = 9.8 s

The magnitude of the average velocity is:

v = displacement/time

v  = 7 m / 9.8 s

v = 0.71 m/s

B. To find the average speed, we need to calculate the total distance traveled and divide it by the total time.

The total distance traveled is = 19 m + 12 m = 31 m

The total time it took for the woodchuck to run both distances is:

The average speed = total distance / total time

The average speed = 31 m / 9.8 s = 3.2 m/s

Therefore we can conclude that the magnitude of the average velocity is 0.71 m/s and the average speed is 3.2 m/s.

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suppose you lift a stone that has a mass of 5.6 kilograms off the floor onto a shelf that is 2 meters high. how much work have you done?

Answers

The required work done by you when lifting the stone through certain height is calculated to be 109.76 J.

The mass of the stone is given as 5.6 kg.

The height of the shelf is given as 2 m.

This work is just the negative of the product of the weight of the stone by the vertical displacement, which is equal to the change in the gravitational potential energy of the stone, as follows:

W = -ΔU = Uf - Ui = m g h = 5.6 × 9.8 × 2 = -109.76 J

Thus, the work done by you when lifting the stone through certain height is calculated by 109.76 J.

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What is the difference between centrifugal force and centripetal force???

Answers

Centripetal force is defined as, "the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation," while centrifugal force is defined as "the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation," according to Merriam Webster Dictionary.

Answer:

Centripetal force is the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation, while centrifugal force is the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation

Explanation:

Hope this helps!

Brainliest if correct pls

Find the frequency of voilet of its wavelength is 400cm

Answers

The frequency of the violet light is\(7.5 x 10^14 Hz (Hertz).\)

The frequency of the wave is determined by dividing the velocity of light by its wavelength.

\(v=f/λWhere:v = velocity of light f = frequency λ = wavelength of the light\)

The speed of light is\(3.00 x 10^8\) meters per second (m/s).

To convert 400 cm into meters, divide 400 by 100. 400 cm = 4 m

Therefore,λ = 4 meters

Plugging these values into the formula, \(v = (3.00 x 10^8 m/s) / (4 m) = 7.5 x 10^14 Hz\)

So, the frequency of the violet light with a wavelength of \(400 cm is 7.5 x 10^14 Hz.\)

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Which pole fo your compass is the north pole? Describe how you determined this. (On average, which poles are the north poles?)

Answers

The north pole of a compass is the end of the needle that points towards the geographic North Pole.

This is the point located at the northernmost part of the Earth's axis.

On average, all compasses have the same north pole, which is the end of the needle that points towards the geographic North Pole.

To determine which end of the needle is the north pole, you can use a map or a globe to find the location of the geographic North Pole and then hold the compass near it.

The end of the needle that points towards the geographic North Pole is the north pole of the compass.

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why do ions stick together?

Answers

Answer:

The ions stick together because of the electrostatic attraction between ions that are near one another.Electrostatic attraction refers to the electrostatic force of long-range interaction occurring between the attractive electrostatic adsorption in aqueous solution with differently charged particles or uncharged particles.

Hope this helps!! ;)

1. A train is traveling on a straight section of track at constant speed. In 60
seconds it covers a distance of 1800 meters. What is the speed of the
train?

Answers

Answer:

30 mph

Explanation:

1800 divided by 60

When an object travels at a constant speed with zero acceleration it is known as uniform rectilinear motion. Then its velocity is given by:

v = d / t

Where d is distance and t is time. Evaluating:

v = 1800 m / 60 s

v = 30 m/s

I’m not sure how to determine the answer to this, I specifically need help with B.

Im not sure how to determine the answer to this, I specifically need help with B.

Answers

Answer:

B. From positions A and D.

Explanation:

Types Of Energy Transfers

Heat can be transferred in three ways: by conduction, convection, and by radiation.

Conduction is the transfer of energy from one molecule to another by direct contact. Convection is the movement of heat by a fluid such as water or air. Radiation is the transfer of heat by electromagnetic waves.
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