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
Take a lamina with three holes near the periphery of the lamina, now suspend the lamina through them, one by one. Draw a line of equilibrium for each suspension point. The point of intersection of these three lines would be the centre of gravity.
B. Energy enters and exits the system matter does not
Explanation:
In thermodynamics, there are three types of system:
- Open system: it is a system that exchanges both matter and energy with the surroundings - an example is an open bottle
- Closed system: it is a system that exchanges only matter with the surroundings, while energy cannot enter and exit the system - an example is a closed bottle (air cannot enter/exit the bottle, but heat can be exchanged through the walls of the bottle)
- Isolated system: it is a system that cannot exchange matter or energy with the surroundings - an example is a sealed thermic container (heat cannot pass through the walls)
In this problem, we are asked to identify which statement best describes the island food web as a closed system: based on the definitions above, we can say that the correct option is
B. Energy enters and exits the system matter does not
Learn more about thermodynamics:
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The believe the answer to this is B
Answer:
F = 5.256 x 
Explanation:
From the work energy theorem we know that:
The net work done on a particle equals the change in the particles kinetic energy:
W = F.d, ΔK =
where:
W = work done by the force
F = Force
d = Distance travelled
m = Mass of the car
vf, vi = final and initial velocity of the car
kf, ki = final and initial kinetic energy of the car
Given the parameters;
m = 830kg
vi = 1.9 m/s
vf = 0 km/h
d = 0.285 m
Inserting the information we have:
F.d = 
F = 
F = 
F = 5.256 x 