The gravitational force between two bodies is $6.67 \times 10^{- 7} N$ when the distance between their centres is 10 m. If the mass of first body is 800 kg, then the mass of second body is :
1000 kg
1250 kg
1500 kg
2000kg

Question

The gravitational force between two bodies is $6.67 \times 10^{- 7} N$ when the distance between their centres is 10 m. If the mass of first body is 800 kg, then the mass of second body is :
1000 kg
1250 kg
1500 kg
2000kg

Toppr Admin · Accepted Answer

F-Gm1m2R2In the above formula-G-6-67-xD7-10-x2212-11-m1-800kgandR-10m-x21D2-6-67-xD7-10-x2212-7-6-67-xD7-10-x2212-11-xD7-800-xD7-m2100-x21D2-m2-1250kg

The gravitational force between two bodies is 6.67×10−7N when the distance between their centres is 10 m. If the mass of first body is 800 kg, then the mass of second body is :1000 kg1250 kg1500 kg2000kg

F=Gm1m2R2In the above formula,G=6.67×10−11,m1=800kgandR=10m⇒6.67×10−7=6.67×10−11×800×m2100⇒m2=1250kg

The gravitational force between two bodies is $6.67 \times 10^{- 7} N$ when the distance between their centres is 10 m. If the mass of first body is 800 kg, then the mass of second body is :
1000 kg
1250 kg
1500 kg
2000kg

$F = \frac{G m_{1} m_{2}}{R^{2}}$
In the above formula,
$G = 6.67 \times 10^{- 11}, m_{1} = 800 k g a n d R = 10 m$
$\Rightarrow 6.67 \times 10^{- 7} = \frac{6.67 \times 10^{- 11} \times 800 \times m_{2}}{100}$
$\Rightarrow m_{2} = 1250 k g$