Explanation:
P = F/A
P = mg/A [ since F = mg ]
P = Vdg/A [ since m = Vd ]
P = Ahdg/A [ since V = Ah ]
P = hdg
Answer:


Explanation:
Given that
Intensity I


Radius of earth,R = 6370 Km
We know that surface area of earth, A



As we know that pressure due to intensity given as

V =Velocity of light



We know that force F
F = P .A


b)Gravitational force F




So F


The answer is 24.84kJ.
We apply the expression for the work done by the heat engine is,
. Putting all given values in the equation we get the final answer.
What is heat engine?
- A heat engine is a machine that uses heat to generate power. It draws heat from a reservoir, uses that heat to produce work, such as move a piston or lift weights, and then releases that heat energy into the sink.
- We are given:The heat input is
. The heat output is
. - The expression for the work done by the heat engine is,

- Substituting the given values in the above expression, we will get
=24.84kJ. - Thus, the work done by the heat engine is 24.84kJ.
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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