Answer:
Explanation:
Assuming that the pacific plate moved 178 km in 1.76 million years.
s = Distance = 178 km
t = Time taken = 1.76 million years
Speed is given by
The speed of the plate is
The energy the Sun gives off is caused by nuclear reactions in its core. The extreme pressure from the weight of the
2 answers:
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To solve this problem it is necessary to apply the equations given from Bernoulli's principle, which describes the behavior of a liquid moving along a streamline. Mathematically this expression can be given as,
Where,
Pressure at each state
= Density
Velocity
Re-organizing the expression we can get that
Our values are given as
Normal Conditions
Replacing we have,
If we consider that there is a balance between the two states, the Force provided by gravity is equivalent to the Support Force, therefore
Here the lift force is the product between the pressure difference previously found by the effective area of the aircraft, while the Force of gravity represents the weight. There,
Equating,
Therefore the weight of the plane is 14535N
1. 27.3 m/s
The velocity of the gazelle at any time is given by:
where
u is the initial velocity
a is the acceleration
t is the time
Here we have:
u = 0 (the gazelle starts from rest)
t = 6.5 s
Substituting the data, we find the gazelle's top speed:
2. 3.8 s
The distance covered by the gazelle is
d = 30 m
We know that the gazelle accelerates during the first part of the motion and then it continues at constant speed. We need to find first if the gazelle completes the race during the first part of its motion (accelerated motion); to do this, we can calculate what would be the distance covered by the gazelle before reaching the top speed, after t = 6.5 s:
Which is larger than 30 m: this means that the gazelle covers the 30 m during its accelerated motion. Therefore, we can use again the equation:
And substituting d = 30 m, we find the time:
3. 10.6 s
In this case, the distance the gazelle must cover is 200 m.
We know that in the first 6.5 s, the gazelle covers a distance of 88.7 m.
In the second part of the motion, the gazelle continues at its top speed, which is:
v = 27.3 m/s
The gazelle still have to cover a distance of
Therefore, the time taken to cover this distance is
So, the total time the gazelle needs to cover 200 m is
t = 6.5 + 4.1 = 10.6 s