Design a solenoid latch which works on a 12 V DC power supply.

Design a solenoid latch which works on a 12 V DC power supply. It should have a maximum push/pull force of 15Nat some point along its stroke. It should be 250 cm^3 in size, or smaller. It should weigh 500 g or less and have a stroke length of at least 10 mm. In the event of failure, it should fail in the safe, or unlatched, position. The design should be validated using the equations learned in course, and may be further validated using simulation software. Keep in mind practicality when designing. For example, using a larger gauge wire may result in a higher required current with less turns. Provide a 3D CAD model of your solenoid. The solenoid should also be practically designed. Include a bracket, either separate or integral to your design, which allows for fastening.