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BigorU [14]
3 years ago
10

A boat crossing a 153.0 m wide river is directed so that it will cross the river as quickly as possible. The boat has a speed of

5.70 m/s in still water and the river flows uniformly at 4.90 m/s. Calculate the total distance the boat will travel to reach the opposite shore.
Physics
1 answer:
irinina [24]3 years ago
6 0

Answer:

201.76266192 m

Explanation:

Distance traveled in the horizontal direction = 153 m

In the vertical direction the distance traveled

\dfrac{4.9\times 153}{5.7}=131.526315789\ m

Total distance from pythagoras theorem

d=\sqrt{153^2+(\dfrac{4.9\times 153}{5.7})^2}\\\Rightarrow d=201.76266192\ m

The total distance the boat will travel to reach the opposite shore is 201.76266192 m

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Two small objects each with a net charge of +Q exert a force of magnitude F on each other. We replace one of the objects with an
Alona [7]

Answer:

F'= 4F/9

Explanation:

Two small objects each with a net charge of +Q exert a force of magnitude F on each other. If r is the distance between them, then the force is given by :

F=\dfrac{kQ^2}{r^2} ...(1)

Now, if one of the objects with another whose net charge is + 4Q is replaced and also the distance between +Q and +4Q charges is increased 3 times as far apart as they were. New force is given by :

F'=\dfrac{kQ\times 4Q}{(3r)^2}\\\\F'=\dfrac{4kQ^2}{9r^2}.....(2)

Dividing equation (1) and (2), we get :

\dfrac{F}{F'}=\dfrac{\dfrac{kQ^2}{r^2}}{\dfrac{4kQ^2}{9r^2}}\\\\\dfrac{F}{F'}=\dfrac{kQ^2}{r^2}\times \dfrac{9r^2}{4kQ^2}\\\\\dfrac{F}{F'}=\dfrac{9}{4}\\\\F'=\dfrac{4F}{9}

Hence, the correct option is (d) i.e. " 4F/9"

7 0
2 years ago
A particular roller coaster has a mass of 3500 kg, a height of 4.0 m, and a velocity of 12 m/s. What is the kinetic energy? If n
Alenkinab [10]

Explanation:

given

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8 0
2 years ago
Ethanethiol (; also called ethyl mercaptan) is commonly added to natural gas to provide the ""rotten egg"" smell of a gas leak.
Tju [1.3M]

Answer:

S = 27500J / 308.15molK

Explanation:

Entropy measures the degree of disorganization of a system. It is measured in the entropy change that is equal to the heat exchanged divided by the temperature at which the process occurs.

S2-S1 = Q / T

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Q = heat = 27.5 kJ / mol * 1000J / 1KJ = 27500J / mol

T = temperature = 35 + 273.15 = 308.15K

units = J / molK

S = 27500J / 308.15molK

3 0
3 years ago
What was the voltage on the battery for the #2 series circuit with two light bulbs?A: 4 VB: 18 VC: 4.5 VD: 9 V
Ghella [55]

We are given a series circuit with two light bulbs. In this case, the light bulbs act as resistors in series and the total resistance is:

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That is the sum of all the resistances in series in the circuit. To determine the voltage we can use Ohm's law:

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8 0
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7. What is the velocity of an object with a distance of 90m south and a time of<br> 5s?
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Answer:

Explanation:

v= s/t

V =90m/5s

V = 8m/s

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