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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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Two cars leave towns 680 kilometers apart at the same time and travel toward each other. one car's rate is 10 kilometers per hou
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D = distance between the cars at the start of time = 680 km

v₁ = speed of one car

v₂ = speed of other car = v₁ - 10

t = time taken to meet = 4 h

distance traveled by one car in time "t" + distance traveled by other car in time "t" = D

v₁ t + v₂ t = D

(v₁ + v₂) t = D

inserting the values

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5 0
3 years ago
I would like to know why this is the correct answer
Marta_Voda [28]

Answer:

see below

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First, the obvious, as you press the gas pedal harder the acceleration goes up as well.  Conversely, is you do not press the pedal, you will not accelerate.  This determines that is I press the gas pedal, it will CAUSE the car to accelerate.  This proves causation.

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2 years ago
While eating lunch high up in a skyscraper, two construction workers calculate their gravitational potential
Maurinko [17]

Answer:

The mass of the other worker is 45 kg

Explanation:

The given parameters are;

The gravitational potential energy of one construction worker = The gravitational potential energy of the other construction worker

The mass of the lighter construction worker, m₁ = 90 kg

The height level of the lighter construction worker's location = h₁

The height level of the other construction worker's location = h₂ = 2·h₁

The gravitational potential energy, P.E.,  is given as follows;

P.E. = m·g·h

Where;

m = The mass of the object at height

g = The acceleration due to gravity

h = The height at which is located

Let P.E.₁ represent the gravitational potential energy of one construction worker and let P.E.₂ represent the gravitational potential energy of the other construction worker

We have;

P.E.₁ = P.E.₂

Therefore;

m₁·g·h₁ = m₂·g·h₂

h₂ = 2·h₁

We have;

m₁·g·h₁ = m₂·g·2·h₁

m₁ = 2·m₂

90 kg = 2 × m₂

m₂ = (90 kg)/2 = 45 kg

The mass of the other construction worker is 45 kg.

8 0
2 years ago
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