Answer:
(a) 38.5m/s
(b) 64.4m/s
Explanation:
First, we can obtain the launch speed from the definition of kinetic energy:
Plugging in the given values, we obtain:
Now, from the conservation of mechanical energy, considering the instant of launch and the instant of maximum height, we get:
And with the known values, we compute:
Finally, to know the components of the launch velocity, we use trigonometry:
It means that the horizontal component of the launch velocity is 38.5m/s (a) and the vertical component is 64.4m/s (b).
Answer:
15.88m/s
Explanation:
At the top of the roller coaster you will have three forces acting on the roller-coaster. See the image below. Fc is the centripetal force (for an object in circular motion), Fg is the gravitational force, and Fn is the normal force. To achieve the minimum speed we assume the roller-coaster is barely touching the vertical loop and so the normal force is zero. This leaves two acting forces.
What is the question looking for?
Answer ;
Minimum required volume = 0.635m3
Maximum internal pressure = 74.35bar
Explanation:
The detailed step by step calculation using the vanderwaal's equation of state for ideal gases is as shown in the attachment.