6. (Mechanics) a. The increase in length of a rectangular slab of metal that's fixed at one end and pulled by a force at its other end is given by this formula: I is the increase in length (mm). F is the applied force (N - kg-m/s2). k is 1000 (conversion of F to millimeter units) l is the bar's length (mm). w is the bar's width (mm). d is the bar's depth (mm) e is the metal's modulus of elasticity (N/mm2). Given this information, design, write, compile, and run a C++ program to calculate the increase in length when a slab of aluminum that's 3 meters long, 4 cm wide, and 2 mm deep is subjected to a force of 4 Newtons. Aluminum's modulus of elasticity is 68,950 /mm2. Hint: Make sure to convert the length and width to mm dimensions.) Verify the result produced by your program with a hand calculation ywu ppnth nd ediei e hee