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Degger [83]
3 years ago
15

Point A is located on the western bank of a river, and point C is located directly across stream on the eastern bank. The river

is 648.6 m wide and flows due south at 2.54 km/hr. A boat wants to cross the river from point A to point C. Determine the bearing and velocity that must be maintained by the boat in order to arrive at point C in 10 minutes.
Physics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

1.29 m/s ∠ 35.2°

Explanation:

Let consider point A and C are in horizontal direction and the stream flows in vertical direction.

Horizontal Velocity:

The boat has to cross the river in 10 minutes and reach point C.

so V<em>i= </em>648.6/(10*60) m/s

Vi=1.08 m/s

Vertical Velocity:

The water will flow the boat in south direction, to reach point C the boat need to acquire same velocity in the opposite direction of river flow.

so

Vj= (2.54 km)/(1 hr) = (2.54*1000 m)/3600 sec

Vj= 0.706 m/s

Magnitude of Velocity:

V=\sqrt{vi^{2}  +vj^{2} }

V= \sqrt{(1.08)^{2}+(0.706)^{2} } }

V=1.29 m/s

Direction of boat:

∅=tan^{-1 } (vj/vx)

∅=tan^{-1 } (0.706/1.08)

∅=35.2°

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Explanation:

Given parameters:

Initial velocity = 72km/hr

Final velocity  = 0km/hr

Time taken  = 25s

Unknown:

Acceleration = ?

Solution:

To solve this problem, convert km/hr to m/s;

           1000m = 1km

           3600s = 1hr

  72km/hr;

          1km/hr  = 0.278m/s

         72km/hr = 0.278 x 72  = 20.02m/s

Acceleration is the change in velocity divided by the time taken;

       Acceleration = \frac{final velocity - initial velocity }{time}  

       Acceleration  = \frac{0 - 20.02}{25}   = -0.8m/s

The car  is actually decelerating at a rate of 0.8m/s

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2 years ago
We use towels to dry our body after taking a shower,why?<br><br>​
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3 0
2 years ago
Which scientific law describes the relationship between action and reaction force pairs? Newton's third law of motion Kepler's l
Hitman42 [59]

Newton's third law of motion

Explanation:

Newton's third law of motion states that:

<em>"When an object A exerts a force on an object B (action force), then object B exerts an equal and opposite force (reaction force) on object A"</em>

It is important to note that this law is always valid, even when it seems it is not.

Consider for example the gravitational force that the Earth exerts on your body (= your weight). We can say that this is the action force. It may seems that there is no reaction force in this case. However, this is not true: in fact, your body also exerts an equal and opposite force on the Earth, and this is the reaction force. The reason that explains why we don't notice any effect on Earth due to this force is that the mass of the Earth is much larger than your mass, therefore the acceleration produced on the Earth because of the force you apply is negligible.

It is also important to note that the action-reaction pair of forces always act on two different objects, so they never appear in the same free-body diagram.

Learn more about Newton's third law of motion:

brainly.com/question/11411375

#LearnwithBrainly

7 0
3 years ago
A ray of light passes from air into a block of clear plastic. How does the angle of incidence in the air compare to the angle of
andre [41]

Answer:

The angle of incidence is greater than the angle of refraction

Explanation:

Refraction occurs when a light wave passes through the boundary between two mediums.

When a ray of light is refracted, it changes speed and direction, according to Snell's Law:

n_1 sin \theta_1 = n_2 sin \theta_2

where :

n_1 is the index of refraction of the 1st medium

n_2 is the index of refraction of the 2nd medium

\theta_1 is the angle of incidence (the angle between the incident ray and the normal to the boundary)

\theta_2 is the angle of refraction (the angle between the refracted ray and the normal to the boundary)

In this problem, we have a ray of light passing from air into clear plastic. We have:

n_1=1.00 (index of refraction of air)

n_2=1.50 approx. (index of refraction in clear plastic)

Snell's Law can be rewritten as

sin \theta_2 =\frac{n_1}{n_2}sin \theta_1

And since n_2>n_1, we have

\frac{n_1}{n_2}

And so

\theta_2

Which means that

The angle of incidence is greater than the angle of refraction

6 0
3 years ago
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