Answer:
W = 14523.6 J
Explanation:
Given,
Mass = 3.9 Kg
Vertical height , h = 380 m
Work done against gravitational force
W = m g h
g is acceleration due to gravity
W = 3.9 x 9.8 x 380
W = 14523.6 J
Hence, the work done by the gravitational force is equal to W = 14523.6 J
The angle of bank needed, measured from the vertical is 86.6⁰.
<h3>
Banking angle of the circular path</h3>
The angle of bank needed, measured from the vertical is calculated as follows;
v = √(rg tanθ)
where;
- v is the speed = 1440 km/h = 400 m/s
- r is radius of the curve = 960 m
- g is acceleration due to gravity
- θ is the banking angle
400² = (960 x 9.8 x tanθ)
tanθ = 400²(960 x 9.8)
tanθ = 17
θ = arc tan(17)
θ = 86.6⁰
Thus, the angle of bank needed, measured from the vertical is 86.6⁰.
Learn more about banking angle here: brainly.com/question/8169892
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To calculate the speed of the water leaving we use the formula,
Here h is the height of the water above the hole and g is the acceleration due to gravity.
Given,
Substituting the given value in above formula we get
Thus, water flow from a hole at the speed is 10.7 m/s