You construct two wire-frame cubes, one using copper wire, the other using aluminum wire. At 22 ∘C the cubes enclose equal volumes of 1.7×10−2 m^3. Find the difference in volume between the cubes when their temperature is 98 ∘C.

A horizontal spring with spring constant 210 N/m is compressed by 20 cm and then used to launch a 300 g box across the floor. The coefficient of kinetic friction between the box and the floor is 0.23. Part A What is the box's launch speed? Express your answer with the appropriate units. vf= Submit HA Value Request Answer Units ?

A steel rod is 2.899 cm in diameter at 28.00°C. A brass ring has an interior diameter of 2.896 cm at 28.00°C. At what common temperature will the ring just slide onto the rod? The linear expansion coefficient of steel is 11.00 x 10-6 1/C°. The linear expansion coefficient of brass is 19.00 × 10-6 1/C°. Number Units

A wire is made out of a special steel alloy with Y=2.00×1011Pa, density ρ=7800kg/m3, radius 1.00mm and coefficient of linear thermal expansion α=2.50×10-5 K-1. The initial temperature of the wire is 20∘C20∘C. As a constant tension of 3.53×104N is applied to the wire, the wire is measured to be exactly 60.0cm60.0cm long. (a) What is the fundamental frequency of the wire? Assume the speed of sound is 344m/s. (b) Where should you pluck the wire to achieve the third harmonic (second overtone) without also exciting the fundamental mode? What is its frequency? (c) If the wire is heated to the melting point of steel (13630C), by how much does the fundamental frequency change?