Consider a spring with a rest length i and a spring constant k. this spring has a natural frequency $w0 = \sqt{k}$ (assume spring's mass to be m 1 suppose we place identical positive charges q on the ends of the spring. this system will two have a new natural frequency w now. derive the new expression for w just consider electrostatic effects and assume that the loads are small. you can of course also use harmonic approaches

Choose the most likely outcome of this scenario: jen decided to go bike riding without a helmet. while no one is around during her ride, she is thrown from her bike when her wheel goes into a pothole. she is not injured, but she is terrified to get back on her bike. what happens next? a. her physical health is affected even though she wasn't hurt. b. her mental and emotional health are affected because she is afraid to get back on her bike. c. her social health is affected because she is worried her friends saw the fall. d. her overall health is not affected at all by her fall.

Why is it important always to use horizontal bars in unit fractions when performing unit conversions?

You are given a vector a = 125i and an unknown vector b that is perpendicular to a. the cross-product of these two vectors is a × b = 98k. what is the y-component of vector b?