In the open-die forging of a solid cylindrical, annealed copper specimen ( K = 46,000 psi and n = 0.54) with 2 in. height and 1 in. diameter, calculate the force required when the height reduction is 70%, assume no friction between the flat dies and the specimen. Ignore barreling and use average-pressure formulas.

Aperson gives a shopping cart an initial push along a horizontal floor to get it moving, and then lets go. the cart travels forward along the floor, gradually slowing as it moves. consider the horizontal force(s) on the cart while it is moving forward and slowing. which of the following statements is correct? (a) both a forward and a backward force are acting on the cart, but the forward force is larger. (b) only a forward force is acting which diminishes with time. (c) both a forward and a backward force are acting on the cart, but the backward force is larger. (d) only a backward force is acting, no forward force.