A body of mass m is moving in a straight line at a constant speed v. Its kinetic energy is K and the magnitude of its momentum is p.  which of the following relations are correct ?Select answersA v  =  2Kp B 2K  =  pv C p  =  √2mK D p  =  √2Km

The kinetic energy (K) of a body is given by the equation K = 1/2 mv^2, where m is the mass and v is the velocity of the body.

The momentum (p) of a body is given by the equation p = mv.

Let's check each of the given options:

A. v = 2Kp Substituting the equations for K and p into this equation gives v = 2(1/2 mv^2)(mv), which simplifies to v = mv^3. This is not a correct equation for velocity, so option A is incorrect.

B. 2K = pv Substituting the equations for K and p into this equation gives 2(1/2 mv^2) = mv, which simplifies to mv^2 = mv. This equation is only true if v = 1, so option B is incorrect.

C. p = √2mK Substituting the equations for K and p into this equation gives mv = √2m(1/2 mv^2), which simplifies to mv = √mv^2. This equation is only true if v = 1, so option C is incorrect.

D. p = √2Km Substituting the equations for K and p into this equation gives mv = √2(1/2 mv^2)m, which simplifies to mv = √mv^2. This equation is only true if v = 1, so option D is incorrect.

Therefore, none of the given options are correct.