A particle moves in x-y plane under the influence of a force F such that its linear momentum is p ( t )= i ( kt )- j ( kt ) . If k is constant, the angle between F and p will be :

Step-by-step solution

aligned & P = ( kt ) i - ( kt ) j ;| P |=1 & P = m v & P = v & v = ( kt ) i - ( kt ) j & a = - k ( kt ) i - k ( kt ) j k & a =- k t i - kt j & F = a =- kt i - kt j & = F P | F || P | =- kt t + kt t 1 1 =0 & = 2 aligned