what equal charges would have placed on earth and moon to neutralise their gravitational attraction? Given mass of earth 10²⁵ kg and mass of moon = 10²³ kg.

Open in App

Solution

For the equilibrium gravitational force must be equal to the electrostatic force in magnitude but must be in opposite direction.

$F_{E} = F_{G} \frac{k q^{2}}{r^{2}} = \frac{G m_{e} m_{m}}{r^{2}} w h e r e q i s t h e c h a r g e o n e a c h p l a n e t r i s t h e d i s \tan c e b e t w e e n t h e m m_{m} i s t h e m a s s o f m o o n m_{e} i s t h e m a s s o f e a r t h q^{2} = \frac{G m_{e} m_{m}}{k} o n s u b s t i t u t i n g t h e v a l u e s w e g e t q = 0.86 \times 10^{14} C .$

Suggest Corrections

Similar questions

Equal and similar charges are placed on the earth and the moon. The numerical value of charge required to neutralise their gravitational attraction is (Given: mass of earth $= 6 \times 10^{24} k g$ , Mass of moon $= 7 \times 10^{22} k g$ ) :

Q. Mass of moon is 1% mass of earth . What will be the ratio of gravitational pull of earth on moon to moon on earth

Compare the gravitational forces exerted by the sun and the moon on earth. Which exerts a greater force on earth ?
(Given : mass of sun, Ms = $4 * 10^{31}$ kg; mass of moon, Mm = $6.3 * 10^{22}$ kg; distance between sun and earth, R_se= $1.3 * 10^{12}$ m and the distance between moon and earth, R_me= $4.5 * 10^{8}$ m)

Compare the gravitational forces exerted by the Sun and the moon on the Earth. (Given: mass of the Sun, $M_{s} = 4 \times 10^{31}$ kg, mass of moon, $M_{m} = 6.3 \times 10^{22}$ kg, distance between the Sun and the Earth, $r = 1.3 \times 10^{12}$ m and the distance between moon and the Earth, $r = 4.5 \times 10^{8}$ m).

Q. The mass of moon is 1% of mass of earth. The ratio of gravitational pull of earth on moon and that of moon on earth will be:

Join BYJU'S Learning Program

what equal charges would have placed on earth and moon to neutralise their gravitational attraction? Given mass of earth 1025 kg and mass of moon = 1023 kg.

what equal charges would have placed on earth and moon to neutralise their gravitational attraction? Given mass of earth 10²⁵ kg and mass of moon = 10²³ kg.