# Problem: Determining the Velocity of a Charged ParticleA particle with a charge of − 5.70 nC is moving in a uniform magnetic field of B =−( 1.30 T ) k̂. The magnetic force on the particle is measured to be F=−( 3.10×10−7 N ) î +( 7.60×10−7 N ) ĵ.Calculate the scalar product  v⋅F. Work the problem out symbolically first, then plug in numbers after you've simplified the symbolic expression.Express your answer in watts to three significant figures.

###### FREE Expert Solution

Magnetic force:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{q}}{\mathbf{v}}{\mathbf{B}}}$

q = - 5.70 × 10-9 nC

v = vxi + vyj + vzk

B = -1.30 T k

F = −( 3.10×10−7 N )i+( 7.60×10−7 N )j ###### Problem Details

Determining the Velocity of a Charged Particle

A particle with a charge of − 5.70 nC is moving in a uniform magnetic field of B =−( 1.30 T ) . The magnetic force on the particle is measured to be F=−( 3.10×10−7 N ) +( 7.60×10−7 N ) .

Calculate the scalar product  v⋅F. Work the problem out symbolically first, then plug in numbers after you've simplified the symbolic expression.