You are pushing a cart in grocery store at a constant velocity of 3.00 m/s in the straight ahead direction. A retail worker in a hurry rushes by and accidentally shoves the cart with a force of 17 N directly to the right. You immediately supply a counter force to keep the cart rolling in the ORIGINAL (straight ahead) direction. What force (magnitude and direction) did you supply to keep the cart moving straight ahead? You should not need to do any calculation for this problem.

Asheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200oc and is permitted to achieve a steady-state diffusion condition. the diffusion coefficient for nitrogen in steel at this temperature is 6 x 10- 11 m2 /s, and the diffusion flux is found to be 1.2 x 10-7 kg/m2 -s. also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3 . how far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3 ? assume a linear concentration profile.