A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by `vec E = - E_0 hat k and vec B= -B_0 hat k` , respectively. The particle enters into the field at `(a_0, 0, 0)` with velocity `vec v = v_0 hat j`. The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is `mu`. Then calculate the
(a) time when the particle will come to rest
(b) distance travelled by the particle when it comes to rest.

Explanation

(a) `(mV_(0))/(mu(mg + qE))`
(b) `t = (mV_(0))/(mu(mg + qE))`
(c) `l = (mV_(0)^(2))/(2mu (mg + qE))`