Calculate the force acting on an electron moving with a velocity `(3hati+3hatj)m.s^(-1)` in a magnetic field of strength `(2hatj+3hatk)` tesla.

A charge q moves with a velocity 2m//s along x- axis in a unifrom magnetic field B=(hati+2hatj+3hatk) tesla.

A conducting rod of length 1m aligned along the unit vector ((3)/(5)hatj+(4)/(5)hatj ), is moving with a velocity vecv=(2hati)m//s . The motion take place in a uniform magnetic field vecB=(hatj-2hatk) tesla. Find the magnitude of induced emf in across the rod in volt.

An engine exerts a force F=(20hati-3hatj+5hatk) N and moves with velocity v=(6hati+20hatj-3hatk) ms^(-1) . The power of the engine (in watt) is

An electron moving with velocity vecv_(1)=1hati m//s at a point in a magnetic field experiences a force vecF_(1)=-ehatjN where e is the charge of electron.If the electron is moving with a velocity vecv_(2)=hati-hatj m//s at the same point, it experiences a force vecF_(2)=-e(hati+hatj)N . Find the magnetic field and the force the electron would experience if it were moving with a velocity vecv_(3)=vecv_(1)xxvecv_(2) at the same point.

A body of mass 3 kg moving with a velocity (2hati+3hatj+3hatk) m/s collides with another body of mass 4 kg moving with a velocity (3hati+2hatj-3hatk) m/s. The two bodies stick together after collision. The velocity of the composite body is

A particle moves with a velocity of (4hati-2hatj+2hatk)ms^(-1) under the influence of a constant force vecF=(10hati+3hatj-2hatk)N . The instantaneous power applied to the particle is

The accelertion of a electron at a certain moment in a magnetic field B=2hati+3hatj+4hatk is a=xhati+hatj-hatk . The value of x is

A particle moves with a velocity (5hati-3hatj+6hatk) ms ^(-1) under the influence of a constant force vecF =(10 hati-10 hatj+20hatk) N . The instantaneous power applied to the particle is