A single frictionless roller-coaster car of mass m = 750. kg tops the first hill with speed v = 15.0 m/s at height h = 20.0 m as
shown. (show work)
Find the speed of the car at points A, B and C. Show all your work. (Hint: to start, find the total mechanical energy at the top of the first hill.)
Find the speed of the car at points A, B and C. Show all your work. (Hint: to start, find the total mechanical energy at the top of the first hill.)
1 answer:
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Answer:
Flow rate 2.34 m3/s
Diameter 0.754 m
Explanation:
Assuming steady flow, the volume flow rate along the pipe will always be constant, and equals to the product of flow speed and cross-section area.
The area at the well head is
So the volume flow rate along the pipe is
We can use the similar logic to find the cross-section area at the refinery
The radius of the pipe at the refinery is:
So the diameter is twice the radius = 0.38*2 = 0.754m
The vertical force exerted on the lawn is 68.8 N downward
Explanation:
The vertical force exerted by the lawnmower on the lawn is equal to the vertical component of the force applied, therefore:
where
F is the magnitude of the force applied
is the angle between the direction of the force and the horizontal
In this problem:
F = 120 N
Substituting,
where the negative sign means the direction of the force is downward.
Learn more about vector components and forces here:
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