What weight of water is displaced by a 100-ton floating ship? What is the buoyant force that acts on this ship?
1 answer:
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Answer:
966 mph
Explanation:
Using as convention:
- East --> positive x-direction
- North --> Positive y-direction
The x- and y- components of the initial velocity of the jet can be written as
While the components of the velocity of the wind are
So the components of the resultant velocity of the jet are
And the new speed is the magnitude of the resultant velocity:
The angle of the pendulum with the vertical is
Explanation:
As the train decelerates, the bob of the pendulum will feel a force given by
where
m = 0.55 kg is the mass of the bob
is the magnitude of the acceleration
In the horizontal direction.
The pendulum will be inclined at an angle from the vertical, so it will be in equilibrium, and therefore the horizontal component of the tension in the string must be equal to the net force F of the previous equation:
(1)
where T is the tension in the string.
We also know that the bob is in equilibrium along the vertical direction: so the vertical component of the tension must be equal to the weight of the bob,
(2)
where is the acceleration of gravity.
Dividing eq.(1) by eq(2), we get:
And therefore, we find the angle:
Learn more about forces and acceleration:
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