Apoint charge with charge q1 = 3.50 μc is held stationary at the origin. a second point charge with charge q2 = -4.70 μc moves from the point ( 0.160 m , 0) to the point ( 0.290 m , 0.265 m ). how much work w is done by the electric force on the moving point charge?
express your answer in joules. use k = 8.99×109 n⋅m2/c2 for coulomb's constant: k=14πϵ0.

The intensity of a polarized electromagnetic wave is 12 w/m^2. part a) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=0∘ with the plane of polarization? part b) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=30∘ with the plane of polarization? part c) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=45∘ with the plane of polarization? part d) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=60∘ with the plane of polarization? part e) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=90∘ with the plane of polarization?

Aparticle moves in the xy plane with constant acceleration. at time zero, the particle is at x = 6 m, y = 8.5 m, and has velocity ~vo = (9 m/s) ˆı + (−2.5 m/s) ˆ . the acceleration is given by ~a = (4.5 m/s 2 ) ˆı + (3 m/s 2 ) ˆ . what is the x component of velocity after 3.5 s? answer in units of m/s.

Calculate a pendulums frequency of oscillation (in hz) if the pendulum completes one cycle in 0.5s.