Exactly 5 of its first 10 decimal places consist of digits less than 5? a drunk starts out from a lamppost in the middle of a street, taking steps of equal length either to the right or to the left with equal probability. what is the probability that the man will again be at the lamppost after taking n steps (a) if n is even? (6) if n is odd?

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30° north of east and the 0.400 kg block is moving at 11.2 m/s in the direction 53.1° south of east. use coordinates where the +x-axis is east and the +y-axis is north.(a) what is the total kinetic energy of the two blocks after the collision (in ) what is the x-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your ) what is the y-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your answer.)