Answer:
200 m/s
Explanation:
Given that,
A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 60 mph.
We need to find the rate at which the plane is moving towards North. It can be given by :

Where
is the angle with the North

Hence, the plane is moving at a rate of 200 m/s.
Answer:
a) 3.632 m/s
b) 0.462 m/s
Explanation:
Using the law of conservation of momentum:
..........(1)

Substituting the above values into equation (1) and make V2 the subject of the formula:

..................(2)
Using the law of conservation of kinetic energy:

.......(3)
Substitute equation (2) into equation (3)

Substituting
into equation(2)

The variation of entropy of a substance is given by

(1)
where

is the heat exchanged in the process
T is the absolute temperature at which the transformation occurs.
The process in the problem is the solidification of the liquid Gallium, which releases an amount of heat equal to:

where m is the mass of the substance and

is the latent heat of fusion of Gallium. Using m=64.0 g, we find

where the negative sign means the Gallium is releasing heat to the environment.
Now we can use equation (1) to find the variation of entropy, but first we need to convert the temperature into Kelvin:

And so the variation of entropy is

and the negative sign means the entropy in the process is decreasing.
Answer: Option (C) is the correct answer.
Explanation:
When yeast is added into a bottle with water and sugar then after some time yeast becomes activated. This results in the formation of a chemical change as bubbles are formed on the surface of the mixture in the bottle.
This indicates that a gas has been released due to the chemical change.
Thus, we can conclude that most likely a chemical change has occurred because a gas was produced.
Current= V/R
C=60 volts/12 ohms
C= 5 amperes
Hope I helped :)