Answer:
F = GMmx/[√(a² + x²)]³
Explanation:
The force dF on the mass element dm of the ring due to the sphere of mass, m at a distance L from the mass element is
dF = GmdM/L²
Since the ring is symmetrical, the vertical components of this force cancel out leaving the horizontal components to add.
So, the horizontal components add from two symmetrically opposite mass elements dM,
Thus, the horizontal component of the force is
dF' = dFcosФ where Ф is the angle between L and the x axis
dF' = GmdMcosФ/L²
L² = a² + x² where a = radius of ring and x = distance of axis of ring from sphere.
L = √(a² + x²)
cosФ = x/L
dF' = GmdMcosФ/L²
dF' = GmdMx/L³
dF' = GmdMx/[√(a² + x²)]³
Integrating both sides we have
∫dF' = ∫GmdMx/[√(a² + x²)]³
∫dF' = Gm∫dMx/[√(a² + x²)]³ ∫dM = M
F = GmMx/[√(a² + x²)]³
F = GMmx/[√(a² + x²)]³
So, the force due to the sphere of mass m is
F = GMmx/[√(a² + x²)]³
5.625 hours and it is 450 divided by 80
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Answer:
The magnitude of the electric field and direction of electric field are
and 75.36°.
Explanation:
Given that,
First charge 
Second charge
Distance between two corners r= 50 cm
We need to calculate the electric field due to other charges at one corner
For E₁
Using formula of electric field

Put the value into the formula


For E₂,
Using formula of electric field

Put the value into the formula


We need to calculate the horizontal electric field



We need to calculate the vertical electric field



We need to calculate the net electric field

Put the value into the formula



We need to calculate the direction of electric field
Using formula of direction



Hence, The magnitude of the electric field and direction of electric field are
and 75.36°.
Explanation and Examples
let the mass of the compressor be
mass (m):
height in x axis is (h1)
height in y axis be (h2):
Height difference: h2-h1
displacement x force:
mass x gravity x height
(m)*9.8*(height difference) = ___ J
Since gravity is forcing down, it would be negative!
Put the values that you require and get the answer.
Answer:
The given circuit diagram shows parallel circuit.
Explanation:
In this circuit diagram two bulbs are connected in parallel combination because current flows from the battery gets bifurcated at the junction. Thus, two bulbs are connected in parallel combination.
This parallel combinations of bulbs then connected to the battery given in the diagram. So, the combinations of bulbs are connected in parallel combinations with the battery.
Hence, both bulbs and battery are connected in parallel combinations with each other.
The circuit diagram shown in figure is parallel.