Answer:
0.027m
Explanation:
the bolt loses contact with the piston only when acceleration due to gravity equals acceleration of piston
ω² * A = g where ω is angular velocity, A amplitude, g acceleration due to gravity
ω is given by 2πf, ω² is 4π²f²
A= g/4π²f² depending on the value of g used either 10m/s² or 9.8m/s²,
i used 10m/s² in this answer
Answer:
The maximum electric power output is 
Explanation:
From the question we are told that
The capacity of the hydroelectric plant is 
The level at which water is been released is 
The efficiency is
0.90
The electric power output is mathematically represented as
Where
is the potential energy at level h which is mathematically evaluated as

and
is the potential energy at ground level which is mathematically evaluated as


So
here 
where V is volume and
is density of water whose value is 
So

substituting values


The maximum possible electric power output is

substituting values


Answer:
Intraductal Papillary Mucinous Neoplasm
Answer:
The z-component of the force is
Explanation:
From the question we are told that
The charge on the particle is
The magnitude of the magnetic field is 
The velocity of the particle toward the x-direction is 
The velocity of the particle toward the y-direction is

The velocity of the particle toward the z-direction is

Generally the force on this particle is mathematically represented as

So we have

substituting values
So the z-component of the force is
Note : The cross-multiplication template of unit vectors is shown on the first uploaded image ( From Wikibooks ).