Answer:
-75.35°
Explanation:
Let C be the sum of the two vectors A and B. Hence, we can write the following
but since the vector C is in the -y direction, 
= 0 and 
= —12 m.
Thus
![B_{x} =-A_{x} =-[-Acos(180-127)]=(8)*cos(53)\\B_{x} =4.81m](https://tex.z-dn.net/?f=B_%7Bx%7D%20%3D-A_%7Bx%7D%20%3D-%5B-Acos%28180-127%29%5D%3D%288%29%2Acos%2853%29%5C%5CB_%7Bx%7D%20%3D4.81m)
similarly, we can determine 
by rearranging equation (1)
so the magnitude of B is
Finally, the direction of B can be calculated as follows
Ф=
hence the vector B makes an angle of 75.35 clockwise with + x axis
Answer: 14.28 m/s
Explanation:
Assuming the girl is spinning with <u>uniform circular motion</u>, her centripetal acceleration 
is given by the following equation:
(1)
Where:
is the <u>centripetal acceleration</u>
is the<u> tangential speed</u>
is the <u>radius</u> of the circle
Isolating from (1):
(2)
<u />
Finally:
This is the girl's tangential speed
u = 0.077
Explanation:
Work done by friction is
Wf = ∆KE + ∆PE
-umgx = ∆KE,. ∆PE =0 (level ice surface)
-umgx = KEf - KEi = -(1/2)mv^2
Solving for u,
u = v^2/2gx
= (12 m/s)^2/2(9.8 m/s^2)(95 m)
= 0.077
Answer:
20%
Explanation:
Relative Humidity (%) = (water vapor content÷water vapor capacity) × 100
=(7÷35)×100
=(0.2)×100
=20%
According to the Temperature-Water Vapor Capacity Table, the water capacity at 35 °C is 35 grams.
Water Vapor Capacity: The amount of water (grams) which air can hold at a given temperature.
Water Vapor Content: The amount of water vapor actually present in the air.
