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. Gravitational force of attraction "F" exists between two-point masses A and B when a fixed distance separates them. After mass A is doubled and mass B is quartered, the gravitational attraction between the two masses is___________.

User Chazzu
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2 Answers

5 votes

Answer:

0.5F OR HALF OF PREVIOUS VALUE

Step-by-step explanation:

F= G Ma Mb/r²

now new force F1 is given as

F1= G ×2Ma × 0.25 Mb /r²

F1 = 2×0.25 ×Ma×Mb/r²

F1 = 0.5×Ma Mb/r²

F1= 0.5 F

User Boynux
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8.0k points
2 votes

Answer:8F

Step-by-step explanation:

Given

Gravitation attraction is F between A and B

if
m_a and
m_b is the mass of A and B respectively then

F is given by


F=(Gm_am_b)/(r^2)

where r=distance between them

if
m_a is doubled and
m_b is quadrupled then Force can be given by


F'=(G* 2m_a* 4m_b)/(r^2)


F'=(8Gm_am_b)/(r^2)


F'=8F

thus force becomes 8 times of initial value

User Rjanjic
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