Explanation:
(a) Mass of the cars, m₁ = m₂ = 1160 kg
Distance between cars, d = 35 m
The gravitational force between two cars is given by :
[tex]F=G\dfrac{m_1m_2}{d^2}[/tex]
[tex]F=6.67\times 10^{-11}\times \dfrac{(1160)^2}{(35)^2}[/tex]
[tex]F=7.32\times 10^{-8}\ N[/tex]
So, the force of gravity between the cars is [tex]7.32\times 10^{-8}\ N[/tex].
(b)The weight of a car is given by :
[tex]W=mg[/tex]
[tex]W=1160\times 9.8[/tex]
W = 11368 N
On comparing,
[tex]\dfrac{W}{F}=\dfrac{11368}{7.32\times 10^{-8}}[/tex]
[tex]\dfrac{W}{F}=1.55\times 10^{11}[/tex]
[tex]W=1.55\times 10^{11}\times F[/tex]
So, the weight of the car is [tex]1.55\times 10^{11}[/tex] times the force of gravitation between the cars.
