An engineer wants to design a structure in which the difference in length between a steel beam and an aluminum beam remains at 0.550 m regardless of temperature, for ordinary temperatures. What must the length of the steel beam be?

The  length of the steel beam  is 1.058 m

Explanation:

coefficient of linear expansivity of Aluminum, = 25 x 10⁻⁶ ⁰C⁻¹

coefficient of linear expansivity of steel, =  12 x 10⁻⁶ ⁰C⁻¹

Change in length of aluminum; ΔL = **ΔT

Change in length of steel; ΔL = **ΔT

difference in length of Aluminum and steel;

- = 0.55 m, for this difference to remain constant, then ΔL = ΔL

From the equation above,     = 0.55 +

Since,  ΔL = ΔL, then  **ΔT = **ΔT

At constant temperature, the equation becomes;

* = *

Recall;

To calculate the length of the steel beam;

Therefore, the  length of the steel beam  is 1.058 m

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )