Use The Divergence Theorem To Calculate The Surface Integral and Sis a sphere centered at the origin with a radius of 2. Confirm
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Answer: hi your question is incomplete below is the complete question
Use the Divergence Theorem to calculate the surface integral S F dS with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral
answer : surface integral = 384/5 π
Step-by-step explanation:
Representing the vector field as
F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k
assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.
Hence the divergence will be represented as :
Attached below is the detailed solution
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Answer:
<em>The magnitude of the velocity will be 60 m/s.</em>
<em>The distance covered is 3,600 m</em>
Step-by-step explanation:
<u>Constant Acceleration Motion</u>
It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:
The distance traveled by the object is calculated as:
The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:
The magnitude of the velocity will be 60 m/s.
The distance covered during that time is:
x = 3,600 m
The distance covered is 3,600 m