A particle of mass `2 kg` is moving with velocity `vec(v)_(0) = (2hat(i)-3hat(j))m//s` in free space. Find its velocity `3s` after a constant force `vec(F)= (3hat(i) + 4hat(j))N` starts acting on it.

A particle moves with a velocity vec(v)=5hat(i)-3hat(j)+6hat(k) " "ms^(-1) under the influence of a constant force vec(f)= 10hat(i)+10hat(j)+20hat(k)N . The instantanteous power applied to the particle is

A particle moves with a velocity 6hat(i)-4hat(j)+3hat(k)m//s under the influence of a constant force vec(F)= 20hat(i)+15hat(j)-5hat(k)N . The instantaneous power applied to the particle is

A particle of mass 2kg moves with an initial velocity of (4hat(i)+2hat(j))ms^(-1) on the x-y plane. A force vec(F)=(2hat(i)-8hat(j))N acts on the particle. The initial position of the particle is (2m,3m). Then for y=3m ,

An alpha particle moving with a velocity vec(v)_(1)=2hat(i)m//s is a uniform magnetic field experiences a force vec(F)_(1)=-4e(hat(j)-hat(k))N . When the particle moves with a velocity vec(v)_(2)=hat(j)m//s , then the force experienced by it is vec(F)_(2)=2e(hat(i)-hat(k))N . The magnetic induction vec(B) at that point is :

The velocity of a particle of mass 2 kg is given by vec(v)=at hat(i)+bt^(2)hat(j) . Find the force acting on the particle.

A particle is moving with a constant acceleration vec(a) = hat(i) - 2 hat(j) m//s^(2) and instantaneous velocity vec(v) = hat(i) + 2 hat(j) + 2 hat(k) m//s then rate of change of speed of particle 1 second after this instant will be :

A particle is moving with a constant acceleration vec(a) = hat(i) - 2 hat(j) m//s^(2) and instantaneous velocity vec(v) = hat(i) + 2 hat(j) + 2 hat(k) m//s then rate of change of speed of particle 1 second after this instant will be :