Question

Note: 1/48 - * - 9.0 x 10° N-m/ca 3. Two small metal spheres, each carrying charge + 40 C and with mass 6 grams, are very far apart, but are moving directly towards each other - each having speed 320 m/sec. What is their total energy at this "infinite" position ? Hint what kind of Energy do these objects have? (Hist be careful what it was formas, lista nit with answer Total Energy B) As they get closer, they will slow down due to Electrostatic interaction. How close will they come together at their minimum distance of separation ? (Hint: What Dpe of energy will they have a closest approach ) Distance apart

Answer 1

The charges posses only kinetic energy at infinite separation and only potential energy at closest approach.

=922+40 uc - = 40x106c e mi = ma z 69 a - caxio3 kg - Viava = 320 m/s A) At infinite separation the pountial energy due to the interaction of charges is taken as zero · They still Dossess kinetic enugy dire to their velocity. Kelakez - fmv?. = x 6x10 Jy 320 = 307.2 ſ Total energy = Joz. 2x -614.4 T (hrs) B As they come closer, as both the mass having same kind of change they sepel each othu. Due to this Sepulsion they possess Datentu ereigys given by PE = 1 Vita where a is the distanee between 2013 the charges.

The closest distanu between the charges can be calculated by equating kinetic energy at infinite sepculation with potential enugy at closest approach. KE - PE 614'4 = isot 21,92 = 9x109 x (40x106) 9x109 vc 40x106) 614.4 = 2.34*10-2m = 2.34 cm Cans) x GH.4 20 .