Suppose a boat moves at 12.0m/s relative to the water. If the boat is in a river with the current directed east of 2.50m/s, what is the boat's speed relative to the groiund when it is heading (a) east, with the current, and (b) west, against the current?

Answers

Answer 1

Answer:

(a) 14.5 m/s

(b) 9.5 m/s

Explanation:

Let the speed of the boat in the still water (i.e relative to ground) is [tex]v_0[/tex].

Given that the speed of the boat relative to water, [tex]v_r=12.0[/tex] m/s.

Speed of the water current of the river relative to the ground, [tex]u_0=2.50[/tex] m/s towards east.

(a) When the boat is heading toward the east (in the same direction of the current of the river)

The relative velocity, [tex]v_r[/tex], of the boat with respect to ground is

[tex]v_r=v_0-u_0[/tex]

[tex]\Rightarrow 12=v_0-2.5[/tex]

[tex]\Rightarrow v_0=12+2.5=14.5[/tex] m/s

Hence, the boat's speed relative to the ground when it is heading east, with the current, is 14.5 m/s.

(b) When the boat is heading toward the west (in the opposite direction of the current of the river)

The relative velocity, [tex]v_r[/tex], of the boat with respect to ground is

[tex]v_r=v_0-(-u_0)[/tex]

[tex]\Rightarrow 12=v_0+2.5[/tex]

[tex]\Rightarrow v_0=12-2.5=9.5[/tex] m/s

Hence, the boat's speed relative to the ground when it is heading west, against the current, is 9.5 m/s.


Related Questions

In three to five sentences, evaluate the scientific evidence that supports the big bang theory and the steady state theory.

Answers

The universe was created due to an explosion that occured in space and that the universe is expanding but still maintains an average density that's constant.

Briefing: 

The Big Bang Theory proposes that a space-based explosion led to the creation of the universe. The space expanded because of the extraordinarily high temperature and density. The elements were then created after the cosmos cooled.

According to the Big Bang Theory, the universe was created by a tremendous explosion that took place billions of years ago. The stars and galaxies that exist in our universe were formed when matter was drawn together by gravity.

The steady state theory is a description of the idea that although the cosmos is expanding, its average density remains constant.

The steady state theory claims that even though the cosmos is expanding, its appearance remains unchanged.

In conclusion, the steady state hypothesis and the big bang theory both describe how the universe came into being.

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Carlos gets tired of pushing and instead begins to pull with force Fpull at an angle to the horizontal.
The block slides along the rough horizontal surface at a constant speed. A free-body diagram for the
situation is shown below. Blake makes the following claim about the free-body diagram:
Blake: “The velocity of the block is constant, so the net force exerted on the block must be zero.
Thus, the normal force FN equals the weight Fmg, and the force of friction Ff equals the applied
force Fpull.”
What, if anything, is wrong with this statement? If something is
wrong, identify it and explain how to correct it. If this statement is
correct, explain why.

Answers

Answer:

The wrong items are;

1) The normal for FN equals the weight Fmg

2) The force of friction, Ff, equals the applied force Fpull

The corrected statements are;

1) The normal force is weight less the vertical component of the applied force Fpull

FN = Fmg - Fpull × sin(θ)

2) The force of friction equals the horizontal component of the applied force Fpull

Ff = Fpull × cos(θ)

Explanation:

The given statement was;

The velocity of the block is constant, so the net force exerted on the block must be zero. Thus, the normal force FN equals the weight Fmg, and the force of friction Ff equals the applied force Fpull

By the equilibrium of forces actin on the system, given that the applied force acts at an angle, θ, with the horizontal, we have;

The normal force is equal to the weight less the vertical component of the applied force;

That is we have, FN = Fmg - Fpull × sin(θ)

The friction force similarly, is equal to the horizontal component of the applied force;

Ff = Fpull × cos(θ)

The wrong items are therefore as follows;

1) The normal for FN equals the weight Fmg

1 i) The normal force is weight less the vertical component of the applied force Fpull

FN = Fmg - Fpull × sin(θ)

2) The force of friction, Ff, equals the applied force Fpull

2 i) The force of friction equals the horizontal component of the applied force Fpull

Ff = Fpull × cos(θ).

Energy can generally be considered to be either kinetic energy or potential energy. Some specific forms of energy, such as electrical, magnetic, and gravitational energy, can operate in the space around objects and affect other objects that come near. In these examples,

Answers

Answer: The options are not given.

Here are the options.

A. energy is continuously created.

B. energy is continuously destroyed.

C. energy exists in a field.

D. all of these

The correct option is C.

Energy exists in a field.

Explanation:

Energy is the ability to do work or the property i.e force or power that is moved to an object so that it can perform work.

Energy exists in a field because a field is a region in which each area is affected by a force or power on an object . For example a paper clip placed on a magnetic field require a force or power to be able to attract or repel magnets.

An electric field surronds an electric charge when another particle is around it, it uses energy to either attract or repel the object e.t.c.

Therefore energy exists in field.

HEY CAN ANYONE PLS ANSWER DIS!!!!!!

Answers

Answer:

chocolate chip model

Explanation:

Thomson's discovery of the electron completely changed the way people viewed atoms. He proposed the atom was a sphere, but the positive and negative charges were embedded within it. ... Thomson's model came to be called the "plum pudding model" or "chocolate chip cookie model".

Fill in the blanks to complete the statements.

A paper plane moving through the air experiences air _____ .

Frictional forces acting on an object are often converted into ______
energy, which causes the temperature of the object to rise slightly.

Answers

Answer:

Resistance and thermal

Explanation:

Edge 2020

A paper plane moving through the air experiences air resistance.

Frictional forces acting on an object are often converted into thermal energy, which causes the temperature of the object to rise slightly.

What is Frictional forces?

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.

What is thermal energy?

Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy.

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An object moves 120 m in 15 seconds. Calculate
the object's speed.

Answers

Answer:

8m/s

Explanation:

speed= distance/time

s= 120/15

= 8m/s

velocity is derived physical quantity why​

Answers

Answer:

Velocity is “how much distance you cover in a particular time.” Space and time are fundamental quantities, and meters and seconds are their base units. Velocity is a combination of a space and a time, and therefore its units — “m/s” – are “derived” from the units for space and time

Three toy boats with the same mass were in a lake. Two boats were moving and one was stopped. Each boat got bumped by another boat, but not in the same direction. All the boats changed speed as a result of being bumped. Use the information in the diagram to answer. Which toy boat exprienced the strongest force when it was bumped ? How do you know ?

Answers

The answer is " The orange and gray toy boats experienced the strongest force because both gained the same force as they sped up the blue boat lost force so it slow down

Explanation:

Trust me I did this one for an assignment

The boat that will experience the strongest force is the boat that has the highest speed.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

[tex]F = \frac{mv}{t}[/tex]

where;

F is the force experienced by the objectv is the velocity of the objectt is the time of motion

The force experienced by the boats is directly proportional to the velocity of their motion. Since the boats have the same mass, the force experienced by each boat will depend on the speed with which the boat moves.

Thus, the boat that will experience the strongest force is the boat that has the highest speed.

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Determine the weight of a 2959.0-kg car that is moving at a speed of 21 m/s. Enter a
numerical answer.

Answers

weight=mass*gravity

w=2959.0*10

w=29590N

The weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons, here speed of the car is the redundant value that is not used to calculate the weight of the car.

What is gravity?

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem, we have to determine the weight of a 2959.0-kg car that is moving at a speed of 21 m / s .

The weight of the car = mass of the car × acceleration due to gravity

                                    = 2959 × 9.8

                                    = 28998.2 Newtons

Thus, the weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons.

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What is the displacement of an object that moves from the origin to a position at - 12m​

Answers

Answer:

Displacement, d = 12 meters

Explanation:

The displacement of an object that moves from the origin to a position at −12 m is 12 meters.

The distance from the origin to the maximum position is called displacement of an object. The maximum displacement of the particle in a wave is called crest and the minimum displacement is called the trough. -12 shows the displacement in negative axis.

So, the displacement of an object is 12 meters.

1. According to Newton's third law of motion, how are action
and reaction forces related?
2. How is momentum conserved?
3. Suppose you and a friend, who has exactly twice your mass,
are on skates. You push away from your friend. How does the
force with which you push your friend compare to the force
with which your friend
pushes you? How do your
accelerations compare?
4. Thinking Critical be ly comparing and Contrasting
Which has more momentum, a 250-kg dolphin swimming
at 6 m/s, or a 450-kg manatee swimming at 2 m/s?
(need 1-4 answered ASAP)

Answers

Answer:

you couldn't do this on your own or search it up on google

PLEASE HELP ME

A boulder is raised above the ground so that the gravitational potential energy relative to the ground is 310 J. Then it is dropped. What is its kinetic energy just before it hits the ground?

Answers

Answer:

try this

Explanation:

The energy of a falling object when it hits the ground is equaled to the energy it starts with because the potential energy is converted into kinetic energy entirely with the height at 0. This means the energy would be 200 J.

RESULT

A driver of a car traveling at -15m/s applies the brakes, causing a uniform acceleration of +2.0m/s2. If the brakes are applied for 2.5s, what is the velocity of the car at the end of the braking period? How far has the car moved during the braking period?

Answers

Given :

Initial velocity, u = -15 m/s.

Acceleration , a = 2 m/s².

Time taken to applied brake, t = 2.5 s.

To Find :

The velocity of the car at the end of the braking period.

How far has the car moved during the braking period.

Solution :

By equation :

[tex]v = u+at\\\\v=-15 + 2\times 2.5\\\\v=-10 \ m/s[/tex]

Now, distance covered by car is :

[tex]s=ut+\dfrac{at^2}{2}\\\\s=(-15)(2.5)+\dfrac{2(2.5)^2}{2}\\\\s=-31.25\ m[/tex]

Hence, this is the required solution.

Coulomb's law describes how the charge on and distance between two
particles affect the electric force between them. Which situation will result in
the two particles being attracted to each other?

Answers

The situation in which one particle has a positive charge and one has a negative charge will result in the two particles being attracted to each other.

What is Coulomb's law?

It states that the force between two charged particles is directly proportional to the product of the magnitude of the charges and inversely proportional to the square of the distance between them.

Given is Coulomb's law which describes how the charge on and distance between two particles affect the electric force between them.

From the properties of charges, we know that the like charges repel and unlike charges attract each other. This means that two positive charges will repel each other and two negative charges will also repel each other. However, if one positive and one negative charge are brought closer to one another, than they will attract each other.

Therefore, the situation in which one particle has a positive charge and one has a negative charge will result in the two particles being attracted to each other.

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If you walk at 0.75 m/s, how far will you be in 2 hours? (hint change hours into
seconds) *
3.5 meters
75 meter
150 meters
5400 meters

Answers

The answer to the question is 150 meters
it would be 150 meters

PLEASE HELP!!

A person is traveling at 5m/s for around 20 minutes. how much distance did he cover? hint: change minutes to seconds.

Answers

6000 bc there are 1200 seconds in 20 min

please elp! will mark BRAINLIEST

Answers

Answer:

Help with what

Explanation:

help awnsers need expertsss​

Answers

Answer:

ok the answer for number 14 is 0.5 0 kilograms to get this answer this is my explanation ok where try that the bottle of water when full has a mass of 1.30 kg and one half of the water is poured away the mass of the bottle and the half of water is 0.90 kilograms so to get the the water that was poured out we will subtract 0.90 kg from 1.30 kilograms to get 0.40 kilograms so this 0.40 kilograms is the half of the water that was poured out meaning the other half is also 0.40 so to get the mass of the bottle we will take mass of the bottle plus the water - mass of the water so it will be 1.30 kilograms - 0.80 kilograms to get 0.50 kilograms.and number 15 I don't know I'm sorry about that

How long will it take to travel 150 km traveling at 50 km/hr?

Answers

Answer: 3 hours

Explanation: 150 km / 50 km = 3 hrs.

The radius of Mars is 3.4 x 10^6m and the period of Mars's rotation is 24 hours. What is the radial accelerations (in m/s^2) of an object on the ground at its equator?
A. 0.018m/s^2
B. 0.136m/s^2
C. 0.068m/s^2
D. 0.376m/s^2

Answers

Answer:

Option A: 0.018m/s^2

Explanation:

Formula for radial acceleration is;

α_r = ω²r

Now, ω = 2π/T

We're given T = 24 hours. Converting to seconds is; T = 24 × 60 × 60 seconds

ω = 2π/(24 × 60 × 60)

We are given radius = 3.4 × 10^(6) m

Thus;

α_r = (2π/(24 × 60 × 60))² × 3.4 × 10^(6)

α_r = 0.018 m/s²

MORE POINT HAPPY FRIDAYYY HURRY

Answers

Answer:

thanks!

Explanation:

what is the central mass of a apple ?

Answers

The stem of the apple

Calculate: A baseball accelerates downward at 9.8 m/s2. The force pulling the ball downward is 1.4 N. What is the mass of the baseball?

Answers

[tex]\large{\underline{\underline{\red{\tt{\purple{\leadsto } AnsweR:-}}}}}[/tex]

Given : Acceleration of the ball is 9.8 m / s² . The pulling force is 1.4 N .

To Find : The mass of the ball .

Solution : It is given that a ball accelerates download with a acceleration of 9.8 m / s² . And the acting force is 1.4 N .

We know that , Force acting is equal to the product of mass and acceleration . That is ,

[tex]\boxed{\purple{\bf Force=mass\times acceleration}}[/tex]

⇒ Force = mass × accelerⁿ

⇒ 1.4 N = mass × 9.8 m / s²

⇒ mass = 1.4 N / 98 m/s²

⇒ mass = 14N / 98 m/s².

mass = 1/7 kg .

Hence the mass of the object is 1/7 kg 0.14 kg.

What is the magnitude of a rope that is being polled 300n to the left and 425n to the right

Answers

Answer:

FT = 125 [N], to the right

Explanation:

Both forces are characterized by being vectors, and these are applied in opposite directions so the difference between them will be the result of the sum of the forces.

FL = 300 [N]

FT = 425 [N]

FT = Total force

FT = 425 - 300 = 125 [N]

Since the magnitude of the force is positive, we conclude that the resultant of these forces is to the right.

For the first 10 seconds a squirrel runs 3 m/s to look for an acorn. The next 5 seconds he eats an acorn that he finds. Afterwards the squirrel runs 2 m/s back to where he started. (A) How long does it take for the squirrel to get back to where he started?

Answers

Distance covered by the squirrel to look for an acorn :

d = ( 3 m/s ) × 10 s = 30 m.

Time taken to eat an Acron is 5 seconds.

Time taken to cover distance of 30 m with 2 m/s speed is :

[tex]T=\dfrac{30}{2}\ s= 15 \ s[/tex]

Therefore, total time take to  get back to where he started is ( 10+5+15 ) = 30 s.

Hence, this is the required solution.

Answer:

it wont let me commment so i need to know if the answer above is correct

Explanation:

if you go three times around a complete circular lawn of raidius r and reach the starting point, then the displacement is zero. true or false

Answers

Answer:

true

Explanation:

the starting point is zero so if you go back to the starting point it'll be zero since displacement is where you left off.

A student fires a cannonball vertically upwards. The cannonball returns to the
ground after a 4.60s flight. Determine all unknowns and answer the following
questions. Neglect drag and the initial height and horizontal motion of the
cannonball. Use regular metric units (ie. meters).
How long did the cannonball rise?
unit
What was the cannonball's initial speed?
unit
What was the cannonball's maximum height?
unit
V

Answers

Answer:

(a). The distance is 207 m.

(b). The initial velocity is 45.0 m/s

(c). The maximum height is 103.3 m

Explanation:

Given that,

Time = 4.60 s

We need to calculate the initial velocity

Using equation of motion

[tex]v=u-gt[/tex]

Put the value into the formula

[tex]0=u-9.8\times4.60[/tex]

[tex]u=45.0\ m/s[/tex]

We need to calculate the distance

Using formula of distance

[tex]d=v\times t[/tex]

Put the value into the formula

[tex]d=45\times4.60[/tex]

[tex]d=207\ m[/tex]

We need to calculate the maximum height

Using equation of motion

[tex]v^2=u^2-2gh[/tex]

Put the value into the formula

[tex]0=(45.0)^2-2\times9.8\times h[/tex]

[tex]h=\dfrac{(45.0)^2}{2\times9.8}[/tex]

[tex]h=103.3\ m[/tex]

Hence, (a). The distance is 207 m.

(b). The initial velocity is 45.0 m/s

(c). The maximum height is 103.3 m


13. A nuclear decay chain represents
the reason why only fission is more efficient than fusion for nuclear energy
a series of
decays producing sequentially more stable nuclei
b. the only possible type of decay that an isotope can undergo d. the process of nuclei becoming
increasingly energetic as they release radiation

Answers

Answer:

a series of  decays producing sequentially more stable nuclei

Explanation:

A nuclear decay chain represents a series of decays producing sequentially more stable nuclei.

For every atomic nucleus, there is a specific neutron/proton ratio which ensures the stability of the nucleus. Any nucleus with a neutron/proton combination different from its stability ratio (i.e either too many neutrons or too many protons) will be unstable and split into one or more other nuclei with the attendant emission of small particles of matter. The decay process is a continuous chain reaction steps. Until stability of the nucleus is attain, it continues.

is isopropyl alcohol a element compound or mixture

Answers

Answer:

Isopropyl is an element compound.

Explanation:

A 20 N model rocket launched vertically is clocked at 25 m/s when it is 15 m above the ground (and has expended a negligible amount of fuel). Use the work–energy principle to find the rocket’s initial speed.

Answers

Answer:30.3 m/s

Explanation:

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