wizardofodds

By "rank of eight" I assume you mean any eight card. The probability of that happening on the first draw is 4/52. Since tha first card drawn is then replaced in the deck, the probability of drawing a diamond in the next draw is 13/52, and you just multipl...

The increase in potential energy, M g 17*sin10.3, is equal to the decrease in kinetic energy, (1/2)M[Vo^1 -Vf^2] Vo = 9.90 m/s Solve for final velocity Vf. The M's cancel. Vf^2 = Vo^2 - 2g*10*sin17.3 Solve for Vf