Home
Class 12
PHYSICS
The masses and radii of the earth an moo...

The masses and radii of the earth an moon are `M_(1) and R_(1) and M_(2), R_(2)` respectively. Their centres are at a distacne r apart. Find the minimum speed with which the particle of mass m should be projected from a point mid-way between the two centres so as to escape to infinity.

A

`sqrt((4G(M_(1)+M_(2)))/d)`

B

`sqrt((4G)/d (M_(1)M_(2))/((M_(1)+M_(2))))`

C

`sqrt((2G)/d ((M_(1)+M_(2))/(M_(1)M_(2))))`

D

`sqrt((2G)/d (M_(1)+M_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The mass and radius of the earth are M_1, R_1 and those for the moon are M_2, R_2 respectively. The distance between their centers is d with that velocity should an object of mass m be thrown away from the mid-point of the line joining them so that it escapes to infinity ?

If d is the distance between the centre of the earth of mass M_(1) and the moon of mass M_(2) , then the velocity with which a body should be projected from the mid point of the line joining the earth and the moon, so that it just escape is

a narrow tunnel is dug along the diameter of the earth, and a particle of mass m_(0) is placed at R/2 distance from the centre. Find the escape speed of the particle from that place.

Two cars of masses m_(1) and m_(2) are moving in circles of raddii r_(1) and r_(2) respectively. Their speeds are such that they make complete circle in the same time t The ratio of their centripetal acceleration is .

Find the kinetic energy needed to project a body of mass m from the surface of earth to infinity.

The wires A and B shown in Fig. are made of the same material and have radii r_(A) and r_(B) , respectively. The block between them has a mass m . When the force F is mg//3 , one of the wires breaks. Then

A particle of mass m is projected with speed u at an angle theta with the horizontal. Find the torque of the weight of the particle about the point of projection when the particle is at the highest point.

The ratio of the speeds of the objects of masses m_(1), m_(2), and my respectively are fallen freely from a same point 'O' when reaches at ground is ......

A particle is projected with a velocity 10 m/s at an angle 37^(@) to the horizontal. Find the location at which the particle is at a height 1 m from point of projection.

A very small groove is made in the earth, and a particle of mass m_(0) is placed at (R)/(2) distance from the centre. Find the escape speed of the particle for that place.