If `U=100-50x+1000x^(2)` ,then where does the minimum value of `U` occur

The potential energy of a particle is given by formula U=100-5x + 100x^(2), where U and 'x' are in SI unit .if mass of particle is 0.1 Kg then find the magnitude of its acceleration

A partical of mass 2kg is moving on the x- axis with a constant mechanical energy 20 J . Its potential energy at any x is U=(16-x^(2))J where x is in metre. The minimum velocity of particle is :-

If x_i>0 i=1,2,3,...50 x_1+x_2...+x_50=50 then the minimum value of 1/(x_1) +1/(x_2) +...+1/(x_50) equals

If u=sin^(-1)((2x)/(1+x^2)) and v=tan^(-1)((2x)/(1-x^2)) , where -1

The potential energy of a body is given by U = A - Bx^(2) (where x is the displacement). The magnitude of force acting on the partical is

In a region, potential energy varies with X as U(x)=30-(x-5)^(2) Joule, where x is in meters. A particle of mass 0.5 kg is projected from x=11 m towards origin with a velocity 'u' . u is the minimum velocity, so that the particle can reach the origin. (x=0). find the value of u/2 in meter/second. (Take sqrt(44)=6.5 )

Prove that , U = (U -A) + A, Where U is the universal set .

Let gravitational potential energy U is given by U=Asqrtx/(B+x^2) , where x is distance. The dimensional formula of A/B is

If n(U)=50, n(A)=24, and n(B)= 30 where U is the universal set, then find (i) The greatest value of n(A cup B) (ii) The least value of n(A cap B)

If A= ((1,0,0),(2,1,0),(3,2,1)), U_(1), U_(2), and U_(3) are column matrices satisfying AU_(1) =((1),(0),(0)), AU_(2) = ((2),(3),(0))and AU_(3) = ((2),(3),(1)) and U is 3xx3 matrix when columns are U_(1), U_(2), U_(3) then answer the following questions The value of (3 2 0) U((3),(2),(0)) is