Answer:
W/16
Explanation:
The force of gravity, W = mg = GMm/R²
When R increases by a factor of four, W decreases by 4² or 16.
Answer:
Gravitational force on the object will be [tex]\frac{W}{16}[/tex]
Explanation:
Given information:
Radius of planet,
[tex]R_1=r\\R_2=4r[/tex]
[tex]F_1=W[/tex]
By Newton's law of universal gravitation,
[tex]F=G\times \frac{m_1m_2}{r^2}[/tex], here [tex]G[/tex] is gravitational constant,
On substitution,
[tex]\frac{F_1}{F_2}=\frac{{r_2}^2}{{r_1}^2}=\frac{(4r)^2}{r^2}=16[/tex]
[tex]\frac{F_1}{16}=F_2[/tex]
[tex]F_2=\frac{W}{16}[/tex]
Hence,Gravitational force on the object will be [tex]\frac{W}{16}[/tex].
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