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Uniform and Non Uniform

A charge part...

Question

A charge particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by $\to E = - 10 \to k N / C$ and magnetic field $\to B = - 5 \to k$ tesla are present in the region. The particle enters into the magnetic field at (4,0,0) m with a velocity $50 \to j$ m/sec. The particle starts into a curved path on the plane. If coefficient of friction $μ = \frac{1}{3}$ between particle and plane, then the time after which particle comes to rest, is, $(q E = 2 m g, g = 10 m / s^{2})$

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Solution

The correct option is A 5s
$\frac{d v}{d t} = \frac{μ (m g + q E)}{m} = \frac{1}{3} \frac{(m g + 2 m g)}{m}$
$\int d v = \int 10 d t \Rightarrow t = 5 s e c$

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The correct option is A 5sdvdt=μ(mg+qE)m=13(mg+2mg)m ∫dv=∫10dt⇒t=5sec

The correct option is A 5s
$\frac{d v}{d t} = \frac{μ (m g + q E)}{m} = \frac{1}{3} \frac{(m g + 2 m g)}{m}$
$\int d v = \int 10 d t \Rightarrow t = 5 s e c$