Home
Class 11
PHYSICS
Mass of the body is 20kg and the volume ...

Mass of the body is `20kg` and the volume of the body is ` 2m^3` then find density of body.

Text Solution

Verified by Experts

The correct Answer is:
B, D

A small section of rod is condered at x distance mass of the element
`=(M/Lxxdx=dm)`
`=dE_1=(G(dm)xx1)/((d^2+x^2))=dE_2`
Resultant `eE=2dE_1 sintheta`
`2xx(G(dm))/(d^2+x^2)xxd/(sqrt(d^2+x^2))`
`=(2xxGMxxd dx)/(L(d^2+x^2({(sqrt(d^2+x^2))})`
Total gravitatioN/Al field
`E=int_0^(L/2) (2Gmd dx)/(L(d^2+x^2)^(3/2))`
integrating the above the equation it can be found that
`E=(2Gm)/(dsqrt(L^2+4d^2)0`
Promotional Banner

Similar Questions

Explore conceptually related problems

if mass of body is 20kg and momentum is 40Ns then velocity of moving body is

Find the weight of body of mass 10 kg.

The position (x) of body moving along x-axis at time (t) is given by x=3t^(3) where x is in matre and t is in second. If mass of body is 2 kg, then find the instantaneous power delivered to body by force acting on it at t=2 s.

The position (x) of body moving along x-axis at time (t) is given by x=3t^(2) where x is in matre and t is in second. If mass of body is 2 kg, then find the instantaneous power delivered to body by force acting on it at t=4 s.

A body of mass 5xx10^(-3) kg is launched upon a rough inclined plane making an angle of 30^(@) with the horizontal. Obtain the coefficient of friction between the body and the plane if the time of ascent is half of the time of descent.

A particle of mass m_(0) is projected from the surface of body (1) with initial velocity v_(0) towards the body (2). As shown in figure find the minimum value of v_(0) so that the particle reaches the surface of body (2). Radius of body (1) is R_(1) and mass of body (1) is M_(1) . Radius body (2) is R_(2) and mass of the body (2) is M_(2) distance between te center the center of two bodies is D.

Mass center of composite bodies A composite body is made of joining two or more bodies. Find mass center of the following composite body made by joining a uniform disk of radius r and a uniform square plate of the same mass per unit area.

The mass and volume of a body are 4.237 g and 2.5 cm^(3) respectively. The density of the material of the body in correct significant figures is.

Gravitational potential of a body of mass mon the surface of earth is phi , then what is gravitational potential of body of mass 2m ?

A body of mass M is kept on a rough horizontal surface (friction coefficient = mu ). A person is trying to pull the body by applying a horizontal force but the body is not moving. The force by the surface on the body is,