"in analyzing distances by apply ing the physics of gravitational forces, an astronomer has obtained the expression
r= √1/([1/140×10^9 meter]^2 - [1/208×10^9]^2)
use your calculator to evaluate r. view available hint(s)
(a) 3.87 x 10-12 meter
(b) 1.72× 1011 meter
(c) 2.58 x 1011 meter
(d) 1.49 x 1011 meter "

Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. the electric field at a point p, which is 0.50 m from the center of the sphere, is 15,000 n/c and is directed radially outward. what is the maximum magnitude of the electric field due to this sphere

(2) (a) you have a simple circuit that consists of only a battery (δvbat=1.5v) and two resistors with resistance r1=10ω and r2=5ω, connected in series with each other. what is the current running through the battery? (b) you re-arrange your circuit so now r2 is attached in parallel to r1 rather than in series. what is the current running through the battery? (c) you add an additional resistor r3=7ω on the same branch as r2. what is the current running through the battery? (d) what is the power dissipated in r3?

Which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion?