On September 8, 2004, the genesis spacecraft crashed in Utah desert because it's parachute did not open. The 210-kg capsule hit
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Answer:
The wife have to sit at 0.46 L from the middle point of the seesaw.
Explanation:
We need to make a sketch of the seesaw and the loads acting over it.
And by the studying of the Newton's law we can find the equation useful to find the distance of the mother sitting on the seesaw with respect to the center ot the pivot point.
A logical intuition will give us the idea that the mother will be on the side of her son to make the balance.
The maximum momentum with respect to the pivot point (0) will be:
Where L/2 is the half of the distance of the seesaw
Therefore the other loads ( mom + son) must be create a momentum equal to the maximum momentum.
Let be the direction the swimmer must swim relative to east. Then her velocity relative to the water is
The current has velocity vector (relative to the Earth)
The swimmer's resultant velocity (her velocity relative to the Earth) is then
We want the resultant vector to be pointing straight north, which means its horizontal component must be 0:
which is approximately 41º west of north.
6m at 0.9 radian means 6m at
Since positive angles are counter clockwise
6m at can be written as 6*cos
i+6*sin
j = 3.73i+4.70j
5m at can be written as 5*cos
i+5*sin
j = 1.294i-4.83j
4m at 1.2 radian means 4m at
4m at can be written as 4*cos
i+4*sin
j = 1.45i+3.73j
6m at can be written as 6*cos
i+6*sin
j = -5.20i-3j
a) So sum of the vector = 1.274i+0.6j
b) Magnitude =
c) Angle,