Asteel sphere with radius 1.0010 cm at 41.0°c must slip through a brass ring that has an internal radius of 1. cm at the same temperature. to what temperature must the brass ring be heated so that the sphere, still at 41.0°c, can just slip through? coefficient of linear expansion α for brass is 19.0 × 10−6 k−1.

Consider two less-than-desirable options. in the first you are driving 30 mph and crash head-on into an identical car also going 30 mph. in the second option you are driving 30 mph and crash head-on into a stationary brick wall. in neither case does your car bounce off the thing it hits, and the collision time is the same in both cases. which of these two situations would result in the greatest impact force?