A student builds a simple circuit with a single resistor with resistance RRR and measures an electric potential difference \Delta VΔVdelta, V across the resistor. Then, the student replaces the resistor with a new one of resistance \dfrac{R}{2} 2
R
​
start fraction, R, divided by, 2, end fraction and keeps the electric potential difference the same.
What is the current I_2I
2
​
I, start subscript, 2, end subscript through the new circuit in terms of the original current, I_1I
1
​
I, start subscript, 1, end subscript?

Jason and mia are both running in a race. as they approach the finish line, you being the physicist that you are decide to time how long it takes them to reach the end of the race. when you start your stop watch (you can take this as time t = 0 s) you notice that mia is an unknown distance d ahead of jason and both are moving with the same initial velocity v_0. you also notice that jason is accelerating at a constant rate of a_j, while mia is deaccelerating at a constant rate of -a_m. jason and mia meet each other for the first time at time t = t_1. at this time (t = t_1) jason's velocity is two times that of mia's velocity, meaning v_j (t_1) = 2v_m (t_1). a) draw the position vs. time graph describing mia's and jason's motion from time t = 0 to time t = t_1. clearly label your axes and initial conditions on your graph. b) draw the velocity vs. time graph describing mia and jason's motion from time t = 0s to time t = t_1. clearly label your axes and initial conditions on your graph. c) how long from when the stop watch was started at t = 0s did it take mia and jason to meet? express your answer in terms of know quantities v_0, a_m, and a_j. d) when the stop watch started at time t = 0s, how far apart, d, were mia and jason? express your answer in terms of know quantities v_0, a_m, and a_j.

The plum pudding model of the atom state that ?

Diamond will scratch quartz. true or false