The yield strength for fe that has an average grain diameter of 1 x 10-2 mm is 230 mpa. at a grain diameter of 6 x 10-3 mm, the yield strength increases to 275 mpa. at what grain diameter will the yield strength be 310 mpa? (b) a specimen of steel with kic = 54.8 mpa-m1/2 and ys = 1400 mpa is loaded in tension. if this specimen has an internal crack, 2a = 0.4 mm, will it fail after plastic deformation or by brittle fracture? assume y=1.0.

In a given chemical reaction, the energy of the products is greater than the energy of the reactants. which statement is true for this reaction?

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )