The mohorovicic discontinuity marks the change in rock density between the core and the mantle. mantle and crust. asthenosphere
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Answer:
Explanation:
Given that the radius of the pipe, r =0.0112 m
So, the area of the cross-section,
Speed of water in the pipe, v=3.25 m/s
Volume flow rate =
Hence, the volume flow rate is
Let's choose east as positive x-direction and south as positive y-direction. We can resolve the two displacement along these two axes:
- Displacement 1 (3.5 km, south of west
- Displacement 2 (2.7 km, east of south
So, the total components on the two directions are
And the magnitude of the hiker's resultant displacement is
The goalkeeper at his goal cannot kick a soccer ball into the opponent’s goal without the ball touching the ground
Explanation:
Consider the vertical motion of ball,
We have equation of motion v = u + at
Initial velocity, u = u sin θ
Final velocity, v = 0 m/s
Acceleration = -g
Substituting
v = u + at
0 = u sin θ - g t
This is the time of flight.
Consider the horizontal motion of ball,
Initial velocity, u = u cos θ
Acceleration, a =0 m/s²
Time,
Substituting
s = ut + 0.5 at²
This is the range.
In this problem
u = 30 m/s
g = 9.81 m/s²
θ = 45° - For maximum range
Substituting
Maximum horizontal distance traveled by ball without touching ground is 45.87 m, which is less than 95 m.
So the goalkeeper at his goal cannot kick a soccer ball into the opponent’s goal without the ball touching the ground