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Stolb23 [73]
3 years ago
14

Nicholas paddles his canoe downstream from the lodge to the park in 44 hours and then back upstream to the lodge in 55 hrs. If t

he distance from the lodge to the park is 3030 ​miles, find​ Nicholas' speed in still water and the speed of the current.
Physics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

Nicholas' speed: 61.9772 miles/hour

current's speed: 6.8864 miles/hour

Explanation:

Let's call Nicholas's speed "x", and the current speed "y".

Going downstream, the total speed is x+y, and we can formulate the equation:

(x+y)*44 = 3030 -> x+y =  68.8636 miles/hour

Going upstream, the total speed is x-y, and we can formulate the equation:

(x-y)*55 = 3030 -> x-y =  55.0909 miles/hour

If we sum both equations, we have that:

2x = 123.9545

x = 61.9772 miles/hour

Now, to know the current speed, we just apply "x" value in one of the equations:

x+y = 68.8636 -> 61.9772 + y = 68.8636 -> y = 6.8864 miles/hour

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Option B (1.51 m)

Explanation:

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Andrew [12]

Answer: Force applied by trampoline = 778.5 N

<em>Note: The question is incomplete.</em>

<em>The complete question is : What force does a trampoline have to apply to a 45.0 kg gymnast to accelerate her straight up at 7.50 m/s^2? note that the answer is independent of the velocity of the gymnast. She can be moving either up or down or be stationary. </em>

Explanation:

The total required the trampoline by the trampoline = net force accelerating the gymnast upwards + force of gravity on her.

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2 years ago
The first law of Thermodynamics is another way to describe the law of conservation of Energy. It states that:
nikitadnepr [17]

Answer:

C. The change of internal energy of a system is the sum of work and heat spent on it.

Explanation:

The law of conservation of Energy states that energy cannot be destroyed but can only be converted or transformed from one form to another. Therefore, the sum of the initial kinetic energy and potential energy is equal to the sum of the final kinetic energy and potential energy.

Mathematically, it is given by the formula;

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Where;

Ki and Kf are the initial and final kinetic energy respectively.

Ui and Uf are the initial and final potential energy respectively.

The law of conservation of Energy is another way to describe the law of Thermodynamics. It states that the change of internal energy of a system is the sum of work and heat spent on it.

Mathematically, it is given by the formula;

ΔU = Q − W

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standards

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