A monkey on a raft is crossing a river that flows to the east at 8.0m/s. His top paddling speed is 12.0m/sec. He points due south and attempts to cross. If the river is 120m wide, how far downstream will he end up when he reaches the other side?

Answers

Answer 1

The relation of uniform movement allows to find the result for the distance that descended when crossing the river is:

           d = 180 m

Given parameters

The velocity of the river [tex]v_r[/tex] = 8.0 m / s towards the East The speed of the monkey [tex]v_m[/tex] = 12.0 m / s towards the south River width x = 120 m

To find

Distance downstream when crossing.

Velocity is a vector magnitude, it has modulus and direction, therefore vector algebra must be used.

The velocities are constant, let's use the uniform motion relation.

           v = [tex]\frac{d}{t}[/tex]  

In the attached we have a diagram of the movement.  Let's calculate the time to cross the river.

          [tex]v_r = \frac{x}{t}[/tex]  

            [tex]t= \frac{x}{v_r}[/tex]  

            t = [tex]\frac{120}{8.0}[/tex]  

            t = 15 s

The time is a scalar it is the same for the two movements, let's find how much it has descended in this time.

          [tex]v_m = \frac{d}{t}[/tex]  

           d = [tex]v_m t[/tex]  

           d = 12.0  15

           d = 180 m

In conclusion, using the uniform motion relationship we can find the result for the distance that descended when crossing the river is:

           d = 180 m

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A Monkey On A Raft Is Crossing A River That Flows To The East At 8.0m/s. His Top Paddling Speed Is 12.0m/sec.

Related Questions

A flare fired upward at 49 m/s will reach a height of

Answers

Answer:

122.5 meters

Explanation:

We have the third equation of motion:

[tex]\boxed{\mathsf{v^2=u^2+2aS}}[/tex]

v stands for the final velocityu, initial velocitya is the acceleration of the particle in motionS, the distance covered by the same particle.

Here, the particle is a flare.

It's initial velocity is 49 m/ s and the final will be zero, that's 'cause the particle comes to a standstill upon reaching its maximum, in case of motion under gravity.

a will be the acceleration due to gravity = 9.8 m/ s²

So, here are the terms we've got for the third eqn. of motion:

v = 0 m/ su = 49m/ sa = - 9.8 m/ s (the force of gravity acts downwards, and that's the direction we say is negative)

Now, the term we've got to find out is the height reached by the flare, i. e., S.

=> v² = u² + 2aS

=> (0)² = (49)² + 2×(-9.8)×S

=> 0 = 49×49 - 2×9.8×S

=> 2×9.8×S = 49×49

[tex]\implies \mathsf{S=\frac{49\times 49}{2\times9.8} }[/tex]

=> S = [tex]\frac{245}{2}[/tex]

=> S = 122.5 meters

And, S is the maximum height the flare covers, so the answer is 122. 5 meters

what is linear momentum​

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Answer:

Linear momentum is defined as the product of a system's mass multiplied by its velocity.

What must differ between the atom of two different elements?
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Answer:

A.protons and neutrons in the nucleus.

if a 5,000 investment earn $1,575 interest over over 18 years what is the annual interest rate

Answers

Answer:

I = 1575 / 5000 = 31.5 % interest on investment

(1 + i)^18 = 1.315      where i interest is earned per year

One can use logs or

1 + i = 1.315^1/18  = 1.0153

So the annual interest rate is .0153   or 1.53%

Or

5000 (1 + i)^18 = 6575

(1 + i)^18 = 1.315

18 log (1 + i) =  log 1.315

log (1 + i) =  .006607

1 + i = 1.0153

i = .0153 = 1.53%

5. It takes Billy 10 minutes to run 1 mile. What is his speed in miles
per minute?

Answers

Answer:

0.1 miles

Explanation:

1mile/10 minutes

to get some miles/1 minute:

since you divided the 10 minutes to get 1 minute you also divide the 1 mile by 10 to get the number of miles per minutes

ei 1/10 = 0.1 miles

Two identical automobiles are

approaching a yellow light. The first

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the second automobile has a speed

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b) 1.4 times longer

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Answer:

i think that it is b but I could be wrong

how to measure the density of air

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The easiest way to calculate the density of dry air is by applying the ideal gas law. The ideal gas law expresses density as a function of temperature and pressure. Also, just like all gas laws, it is an estimate.

9 The diagram shows a uniform beam PQ. The length of the beam is 3.0 m and its weight is 50 N. The beam is supported on a pivot 1.0 m from end P. A load of weight W is hung from end P and the beam is in equilibrium. What is the value of W ? A 25 N B 50 N C 75 N D 100 N

Answers

equilibrium = 1/1

50 N/x = 1/1

x = 1/1 × 50 N

x = 50 N (B)

#LearnWithEXO

Answer: D 100N

Explanation: Subtract the length of the beam by the pivot and multiply the weight by it.

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This is called: diffuse reflection

will give correct answer brainliest​

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Explanation:

Because all the other answers don’t make sense.

how is the lens able to change its refractive power?

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Answer:

The lens can sharpen the curvature of its front and back surfaces, increasing its focusing power.

Explanation:

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

What is refractive power of lens?

The optical power of a lens is the degree to which the lens is able to converge or diverge light.

The optical power of a lens is measured in Diopters, and obtained by taking the reciprocal of the focal length in meters.

P = 1/F

How lens changes its refractive power

A lens can change its refractive power through sharpening of the curvature of its front and back surfaces, thereby increasing its focusing power.

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The free body diagram for an object is
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Answers

Answer:

the free-body diagram shows the vectors for all the forces acting on the body. The resultant vector found by summing all the individual vectors represents the net force. Since F = ma, the acceleration vector will point in the same direction as the net force, with a magnitude of F / m

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ewan ko kung tama

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Answer:

The force formula is defined by Newton's second law of motion: Force exerted by an object equals mass times acceleration of that object: F = m×a( force = mass×area)

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Answers

The coefficient of friction on the box sliding to the left is 0.3.

The given parameters;

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The acceleration of the box is calculated as follows;

[tex]F = ma\\\\a = \frac{36}{12.2} \\\\a = 2.95 \ m/s^2[/tex]

The coefficient of friction on the box is calculated as follows;

[tex]\mu_k = \frac{a}{g} \\\\\mu_k = \frac{2.95}{9.8} \\\\\mu_k = 0.3[/tex]

Thus, the coefficient of friction on the box is 0.3.

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Please solve this in 5 sentences or less. Best answer gets 30 points and brainliest!

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Theme song for you to do that song I can see you on the song I love it song song and then




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The combination of a particle's mass and velocity produces momentum. Momentum is a vector quantity that has both magnitude and direction. The force exerted on a particle is equated to the time rate of change of momentum by Isaac Newton's second equation of motion.

What is Newton's Law of motion?

First law of Newton : According to Newton's first law of motion, if a body is at rest or moving in a straight path at a constant speed, it will stay in that state or continue to move in that direction unless it is acted upon by an outside force.

Second law of Newton : According to Newton's second rule of motion, a body's rate of momentum change is inversely proportional to the force acting on it, and momentum changes occur in the direction of the net applied force.

Third law of Newton : Newton's third law of motion states that there is always an equal and opposite reaction to every action.

In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this.

A push or pull that an object experiences as a result of its interactions with its environment is known as a force.

Dust and smoke rising in the atmosphere as a result of an asteroid impact hinder sunlight from reaching our planet, resulting in a decrease in global temperature. Many living beings could die as a result of this incident. A small city might be destroyed if an asteroid the size of an apartment strikes Earth. A 20-story building-sized asteroid might wipe out a small nation if it were to strike Earth.

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Step #1: Learn what "displacement" means.

Step #2: Learn what "velocity" means.

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Answers

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[tex]a = \dfrac{30 - 20}{2} [/tex]

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[tex]a = 5 \: \: ms {}^{ - 2} [/tex]

now, we know that :

[tex]f orce= mass \times acceleration[/tex]

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Answers

Answer:

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An 8 kg basketball is dropped from a height of 10 m. Calculate the Gravitational
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O 0.8 Joules

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Answer:

1. they both act on an object in free fall

Explanation:

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Hope this helps you

Rearange the following equation

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[tex]\\ \sf\longmapsto 5.5t=1.2t^2[/tex]

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[tex]\\ \sf\longmapsto t=\sqrt{4.58}[/tex]

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what is the main cause of temperature changes in the atmosphere

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Answer:

The main driver of climate change is the greenhouse effect. Some gases in the Earth's atmosphere

What is the magic triangle used for in science? 10 points

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Speed, distance and time can be calculated using a magic triangle. D (the distance) goes in the top of the triangle, S (speed) goes in the bottom left of the triangle and T (time) goes in the bottom right of the triangle.

Speed, distance and time.

A ship travels north at 15 km/h for 2 h. What is the ship's displacement in km?

Answers

The ships displacement is 30 km north

The ship travels with a velocity of 15 km/h within 2 hours. The distance travelled is the velocity times the time taken that is 30 km to the north.

What is velocity ?

Velocity is a physical quantity measuring the distance travelled by an object per unit time. Velocity is the rate of speed and it is a vector quantity having both magnitude and direction. The unit of velocity can be m/s, km/h, ft/s etc.

Velocity is the ratio of the change in distance to the change in time. The change in distance is sometimes called the displacement.

then velocity  = displacement / time

Given that velocity = 15 km/h

time taken = 2 hours

then displacement = velocity × time

= 15 × 2 = 30 Km

Therefore, the displacement of the ship is 30 km to the north.

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how is the moon different during a new moon phase than during a lunar eclipse?

Answers

Answer:

because one the moon just resets and the other is a whole other thing

A cheetah has an average velocity of 70 mph. If a cheetah was chasing a water buffalo for 23 miles, how long was the cheetah chasing its prey? (Recall that there are 60 minutes in one hour.)
180 minutes
27 minutes
20 minutes
3 minutes

Answers

Answer:

20 minutes

Explanation:

Create a proportion.

x = time for 23 miles of travel

70 miles/hr = 23 miles/ x

--- Cross Multiply

70x = 23  --- Divide 70 on both sides

x = 0.32857 hrs....

multiply your value of "x" by 60 min/hr in order to convert to minutes

0.32857 hrs * 60min/1hr

hr(s) cancels out

x = 19.7143... ~ 20 mins

Sue and Jenny kick a soccer ball at exactly the same time. Sue’s foot exerts a force of 68.9 N to the north. Jenny’s foot exerts a force of 85.4 N to the east.
a) What is the magnitude of the resultant force on the ball?
Answer in units of N.

Answers

Explanation:

the magnitude of the resultant force =

√(68.9² + 85.4²)

=√(4,747.21 + 7,293.16)

=√12,040.37

= 109.7 N

♪Answer :

»Sue's style feet (north) = 68.9N

»Jenny style feet (East) = 85.4N

So, the resultant force on the ball is

= √(68.9² + 85.4²)

= √(4,747.21 + 7,293.16)

= √(12,040.37)

109.72N

~Physics#2

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