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klemol [59]
4 years ago
10

Two sailboats leave a harbor in the bahamas at the same time. the first sails at 23 mph in a direction 330°. the second sails at

34 mph in a direction 190°. assuming that both boats maintain speed and heading, after 2 hours, how far apart are the boats?
Physics
1 answer:
pishuonlain [190]4 years ago
7 0

First, let us calculate the total distance that each have taken after 2 hours.

Let’s say that:

A = sailboat which sails at 23 mph in a direction 330°

B = sailboat which sails at 34 mph in a direction 190°

Calculating for distances:

dA = 23 mph (2 hours) = 46 miles

dB = 34 mph (2 hours) = 68 miles

Imagining a Cartesian coordinate, the angle θ between the two sailboats is simply the difference:

θ = 330° - 190°

θ = 140°

We know that from the law of cosines:

c^2 = a^2 + b^2 – 2 a*b*cos θ

Therefore the distance between the two after 2 hours, C, is:

C^2 = 46^2 + 68^2 – 2 (46) (68) cos(140)

<span>C = 107.39 miles</span>

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I can't see the screw (if you'll pardon the expression), so I don't know a thing about it, and can't answer the question. There's no given information in the question.
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Several short trips taken from a cold start can use ....... as much fuel as a longer multi-purpose trip covering the same distan
Lerok [7]

Several short trips taken from a cold start can use ...twice... as much fuel as a longer multi-purpose trip covering the same distance when the engine is warm.

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4 0
2 years ago
1. When human bones are brittle due to eating too much dairy food, what is this called?
Firdavs [7]

Answer:

1. Osteoporosis

2. Dehydration

3. Atherosclerosis

4. Aerobic exercise

5. Heart disease, obesity, diabetes and high blood pressure

6. Coronary heart disease, colorectal cancer, diabetes

Explanation:

1. Osteoporosis is the condition of the bones when they become easily fractured and less dense, such that injuries to the bones are likely to cause disability or pain

2. The bod becomes dehydrated in the event that there is insufficient water for proper functioning of the organs due to the loss of more water than the water that is taken in or absorbed.

3. Atherosclerosis is the building of plaque on the inside and outside of the walls of the arteries by cholesterol, fat, and other compounds in the blood often being taken as a problem or undesirable condition of the heart.

4. Processed foods are those that contain chemicals (that give them a good taste) in proportions that can cause illnesses

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6 0
3 years ago
A resistor, inductor, and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V, and 80 V respecti
Morgarella [4.7K]

Answer:

The value of the effective (rms) voltage of the applied source in the circuit is 132 V

Explanation:

Given;

effective (rms) voltage of the resistor, V_R = 65 V

effective (rms) voltage of the inductor, V_L = 140 V

effective (rms) voltage of the capacitor, V_C = 80 V

Determine the value of the effective (rms) voltage of the applied source in the circuit;

V= \sqrt{V_R^2 + (V_L^2-V_C^2} )\\\\V= \sqrt{65^2 + (140^2-80^2} )\\\\V = \sqrt{4225+ 13200} \\\\V = \sqrt{17425} \\\\V = 132 \ V

Therefore, the value of the effective (rms) voltage of the applied source in the circuit is 132 V.

6 0
4 years ago
A copper wire (density equal to 8900 kg / m3) 0.3 mm in diameter "floats" due to the force of the earth's magnetic field, which
Andrews [41]

Answer:I=112.094\ A

Explanation:

Given

density \rho =8900\ kg/m^3

diameter d=0.3\ mm

Magnetic field B=5.5\times 10^{-5}\ T

Force on the current carrying conductor placed in a magnetic field

F=BIL\sin \theta

where L=length of conductor

\theta=angle between magnetic field and current

If the wire is floating then weight must be balanced by weight of wire

Weight=mg=\rho ALg

Therefore

\rho ALg=BIL\times \sin 90

8900\times \frac{\pi}{4}(0.3\times 10^{-3})^2L\times 9.8=5.5\times 10^{-5}\times I\times L

I=\frac{8900\times \pi\times 9\times 10^{-8}\times 9.8}{4\times 5.5\times 10^{-5}}

I=112.094\ A

5 0
3 years ago
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