Explanation:
Let i, j and k represents east, north and upward direction respectively.
Velocity due north, 
Velocity of the crosswind, 
Velocity of downdraft,
(downward direction)
(a) Let v is the position vector that represents the velocity of the plane relative to the ground. It is given by :

(b) The speed of the plane relative to the ground can be calculated as :

v = 66 m/s
Hence, this is the required solution.
French Physicist Leon Foucault introduced his pendulum in 1851.
By that time, it was generally accepted that the Earth rotates, but
Foucault's pendulum was the first simple demonstration that made
the Earth's <u>rotation</u> easy to prove.
Answer:


Explanation:
Given :
Force with which dog pulls the pillow = 5 N
Angle of force to the horizontal = 37°
To find the
and
components of force.
Solution:
For a force
making an angle
with the horizontal, the
1)
component or the horizontal component is given by:

2)
component or the vertical component is given by:

Plugging the know values to find
and
components of force applied by the dog on pillow
1) 
∴
(Answer)
2) 
∴
(Answer)
Answer:
a. I = 30 A
b. E = 1080000 J = 1080 KJ
c. ΔT = 12.86°C
d. Cost = $ 4.32
Explanation:
a.
The current in the coil is given by Ohm's Law:

where,
I = current = ?
V = Voltage = 120 V
R = Resistance = 4 Ω
Therefore,

<u>I = 30 A</u>
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b.
The energy can be calculated as:

<u>E = 1080000 J = 1080 KJ</u>
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c.
For the increase in the temperature of water:

where,
m = mass of water = 20 kg
C = specific heat of water = 4.2 KJ/kg.°C
Therefore,

<u>ΔT = 12.86°C</u>
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d.
First, we will calculate the total energy consumed:

Now, for the cost:

<u>Cost = $ 4.32</u>