Two lead spheres each of mass 500g are kept with their centers 1m part. Find the gravitational force with which they attract each other?
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Two lead spheres each of mass 500g are kept with their centers 1m part. Find the gravitational force with which they attract each other?
Answer this question I will mark you as brilliant
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Answer :
Explanation :
Given :
To find :
Knowledge required :
Formula for Gravitational force of attraction :
[tex]\boxed{\sf{F = G\dfrac{m_{1}m_{2}}{d^{2}}}}[/tex]
Where,
Solution :
By using the formula for Gravitational force of attraction and substituting the values in it, we get :
[tex]:\implies \sf{F = G\dfrac{m_{1}m_{2}}{d^{2}}} \\ \\ :\implies \sf{F = 6.67 \times 10^{-11} \times \dfrac{0.5 \times 0.5}{1^{2}}} \\ \\ :\implies \sf{F = 6.67 \times 10^{-11} \times 0.5 \times 0.5} \\ \\ :\implies \sf{F = 6.67 \times 10^{-11} \times 0.5^{2}} \\ \\ :\implies \sf{F = 6.67 \times 10^{-11} \times 0.25} \\ \\ :\implies \sf{F = 6.67 \times 10^{-11} \times 2.5 \times 10^{-3}} \\ \\ :\implies \sf{F = 16.675 \times 10^{[-11 + (-3)]}} \\ \\ :\implies \sf{F = 16.675 \times 10^{-14}} \\ \\ \boxed{\therefore \sf{F = 16.675 \times 10^{-14}\:N}} \\ \\ [/tex]
Therefore,
[tex]\huge{\boxed{\rm{Question}}}[/tex]
Two lead spheres each of mass 500g are kept with their centers 1 m part. Find the gravitational force with which they attract each other?
[tex]\huge{\boxed{\rm{Answer}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{Given \: that}}}}[/tex]
As we see that there are 2 spheres mass given so we have to write them as
[tex]\large{\boxed{\boxed{\sf{To \: find}}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{Solution}}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{We \: also \: write \: these \: as}}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{Using \: formula}}}}[/tex]
F = G (m₁ m₂) / d²
[tex]\large{\boxed{\boxed{\sf{What \: does \: the \: question \: says}}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{Let's \: understand \: the \: concept \: 1st}}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{How \: to \: solve \: this \: question}}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{Let's \: see \: the \: procedure \: now}}}}[/tex]
[tex]\large{\boxed{\boxed{\sf{Full \: solution}}}}[/tex]
Using the formula to find Gravitational force of attraction we have to put the values.
Firstly,
Means,
Putting the values we get
F = G (m₁ m₂) / d²
F = 6.67 × 10-¹¹ × (0.5 × 0.5) / 1²
F = 6.67 × 10-¹¹ × (0.5 × 0.5)
F = 6.67 × 10-¹¹ × 0.5²
F = 6.67 × 10-¹¹ × 0.25
F = 6.67 × 10-¹¹ × 2.5 × 10-³
F = 16.675 × 10^[-11+(-3)]
F = 16.675 × 10^[-11-3]
F = 16.675 × 10^[-14]
F = 16.675 × 10-¹⁴N