<u>Answer:</u>
Magnitude of resultant velocity of kayaker to the nearest tenth = 10 m/s
Direction of resultant velocity of kayaker = 49.32⁰ South of west.
<u>Explanation:</u>
Let east represents positive x- axis and north represent positive y - axis. Horizontal component is i and vertical component is j.
First kayaker paddles at 4.0 m/s in a direction 30° south of west, kayaker paddles at 4.0 m/s in a direction 210° anticlockwise from positive horizontal axis.
So velocity of kayaker = 4 cos 210 i + 4 sin 210 j = -3.46 i - 2 j
He then turns and paddles at 3.7 m/s in a direction 20° west of south, kayaker paddles at 3.7 m/s in a direction 250° anticlockwise from positive horizontal axis.
So that velocity = -1.27 i - 3.48 j
So resultant velocity of kayaker = -3.46 i - 2 j +(-1.27 i - 3.48 j) = -4.71 i - 5.48 j
Magnitude of resultant velocity of kayaker = 
Magnitude of resultant velocity of kayaker to the nearest tenth = 10 m/s
Direction of resultant positive horizontal axis, θ = tan⁻¹(-5.48/-4.71) = 229.32⁰ = 49.32⁰ South of west.
Answer:
R/l = 0.25925 Ω / m
Explanation:
Ohm's law says that the potential difference is proportional to the product of the resistance by the current
V = I R
R = V / I
In this case, since we have two lengths, we can have two lengths, we can find the resistance for each
L = 5 m
R = 7.70 / 5.47
R = 1,408 Ω
L = 10 m
R = 7.70 / 3.25
R = 2,369 Ω
We can make a direct proportions rule (rule of three) to find the resistance per unit length
For L = 5 m
R/l = 1,408 / 5
R/l = 0.2816 Ω / m
For L = 10 m
R/l = 2,369/10
R/l = 0.2369 Ω / m
We can see that the value is similar that differs from the second decimal place, in this case the value for the longer re wire is more accurate because it has a lower joule effect.
One way also to find the average value
R/l = (0.2816 + 0.2369) / 2
R/l = 0.25925 Ω / m
Answer:
So then we see that the final luminosity decrease by a factor of 625 so then the correct answer for this case would be:
B. Decreases by a factor of 625
Explanation:
For this case we can use the formula of luminosity in terms of the radius and the temperature given by:
Where L_i = initial luminosity, r= radius and T = temperature.
We know that we decrease the radius by a factor of 100 and the temperature increases by a factor of 2 so then the new luminosity would be:
So then we see that the final luminosity decrease by a factor of 625 so then the correct answer for this case would be:
B. Decreases by a factor of 625
Answer:
The correct option is: d. Fiber-optic
Explanation:
A fiber-optic cables or an optical-fiber cable is a cable that is composed of a bundle of optical fibers. These cables are used for transmitting information or digital signals over long distances.
Each optical fiber in an optical-fiber cable is individually coated with a protective plastic cover and contained in a protective tube. Therefore, an optical-fiber cable is not affected by any electromagnetic interference or radio frequency interference.
Answer:
a
Explanation:
The most reasonable conclusion of the above phenomenon is that water is a poor conductor of heat. Basically water is an insulator. The heat from surface to the bottom of the beaker will take a lot of time. Moreover, no convection current is formed so, heat might not even reach the bottom surface. Hydrogen bonding also play a vital role in determining the thermal properties of water.
hence option A is correct
