A student, starting from rest, slides down a water slide. On the way down, a kinetic frictional force (a nonconservative force)
1 answer:
Answer:
Velocity will be equal to 7.31 m/sec
Explanation:
We have given mass of the student m = 61 kg
Height of the water slide h = 12.3 m
Acceleration due to gravity
Potential energy is equal to
Work done due to friction = -5800 J
So energy remained = 7352.94-5800 = 1552.94 J
This energy will be equal to kinetic energy
So
v = 7.13 m/sec
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Answer:
c)
V_local = -x/t^2
V_convec = x/t^2
d)
a = V_local + V_convec = 0
e) When a particle moves towards postive x direction its convective velocity increases, but at the same time the local velocity deacreases (at the same rate) when time increases
Explanation:
Hi!
You can see plots for a) and b) attached on this document
c)
The local acceleration is just teh aprtial derivative of the velocity with respect to t:
And the convective acceleration is given by the product of the velocity times the gradient of the velocity, that is:
d)
Since the acceleration of any fluid particle is the sum of the local and convective accelerations, we can easily see that it is equal to zero, since they are equal but with opposit sign
e)
This is because of teh particular form of the velocity. A particle will move towards areas of higher velocities (convectice acceleration), but as time increases, the velocity is also decreasing (local acceleration), and the sum of these quantities adds up to zero
