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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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exis [7]

Answer:

She can swing 1.0 m high.

Explanation:

Hi there!

The mechanical energy of Jane (ME) can be calculated by adding her gravitational potential (PE) plus her kinetic energy (KE).

The kinetic energy is calculated as follows:

KE = 1/2 · m · v²

And the potential energy:

PE = m · g · h

Where:

m = mass of Jane.

v = velocity.

g = acceleration due to gravity (9.8 m/s²).

h = height.

Then:

ME = KE + PE

Initially, Jane is running on the surface on which we assume that the gravitational potential energy of Jane is zero (the height is zero). Then:

ME = KE + PE      (PE = 0)

ME = KE

ME = 1/2 · m · (4.5 m/s)²

ME = m · 10.125 m²/s²

When Jane reaches the maximum height, its velocity is zero (all the kinetic energy was converted into potential energy). Then, the mechanical energy will be:

ME = KE + PE      (KE = 0)

ME = PE

ME = m · 9.8 m/s² · h

Then, equallizing both expressions of ME and solving for h:

m · 10.125 m²/s² =  m · 9.8 m/s² · h

10.125 m²/s² / 9.8 m/s²  = h

h = 1.0 m

She can swing 1.0 m high (if we neglect dissipative forces such as air resistance).

6 0
3 years ago
To start the analysis of this circuit you must write energy conservation (loop) equations. Each equation must involve a round-tr
REY [17]

Answer:

Explanation:

Electric field talks about a region around a charged particle or object within which a force would be exerted on other charged particles or objects. to find the electric field inside the bulb we will apply the electric filed formula.

Please kindly check attachment for step by step explaination.

6 0
3 years ago
Explain why the shortening velocity became slower as the load became heavier in this experiment. how well did the results compar
valkas [14]
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6 0
3 years ago
Jupiter's semimajor axis is 7.78×1011 m. The mass of the Sun is 1.99×1030 kg. (a) What is the period of Jupiter's orbit in secon
dedylja [7]

Explanation:

It is given that,

Semi major axis of the Jupiter, a=7.78\times 10^{11}\ m

Mass of the sun, M=1.99\times 10^{30}\ kg

(a) Let T is the period of Jupiter's orbit. It is given by :

T^2\propto a^3

T^2=\dfrac{4\pi^2}{GM}a^3

T^2=\dfrac{4\pi^2}{6.67\times 10^{-11}\times 1.99\times 10^{30}}\times (7.78\times 10^{11})^3

T=3.74\times 10^8\ s

(b) We know that,

1\ year=3.154\times 10^7\ s

or

1\ s=3.171\times 10^{-8}\ year

3.74\times 10^8\ s={3.171\times 10^{-8}}\times {3.74\times 10^8}

T = 11.859 earth years

Hence, this is the required solution.

7 0
3 years ago
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Answer

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7 0
2 years ago
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