PHY 150 - 5-2 Project Two - Logan Mayer

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Southern New Hampshire University *

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150

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Mechanical Engineering

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Apr 3, 2024

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A&L ENGINEERING Case Material Evaluation Report Newton’s Laws of Motion Newton’s Three Laws of Motion are: 1. An object at rest will remain at rest, and an object in motion will remain in motion unless acted upon from an external force. 2. The force acting on the object is equal to the mass of the object times its acceleration. 3. When an object exerts force upon another object, that object has an equal reaction. Force Diagrams The chosen drop height is 1.5m.
Velocity Calculations Tip : To begin, think about the drop in two phases: The first phase is from the drop to the moment of first contact with the floor. The second phase is the deceleration at impact. The collision time is the time from first contact with the floor to the instant the phone is momentarily at rest. Phone (No Case) 6.2oz = 0.175kg mgh = 1 2 m v 2 + 0 2 9.8 1.5 = 5.42 0 = 5.42 + 0.01 a a =− 542 m / s 2 Phone (Silicone Case) 6.2oz + 1.7oz = 7.9oz = 0.22kg mgh = 1 2 m v 2 + 0 2 9.8 1.5 = 5.42 0 = 5.42 + 0.05 a a =− 108.4 m / s 2 Phone (Hard Plastic Case) 6.2oz + 1.1oz = 7.3oz = 0.20kg mgh = 1 2 m v 2 + 0 2 9.8 1.5 = 5.42 0 = 5.42 + 0.03 a a =− 180 . 6 m / s 2 Phone (Rubber Case) 6.2oz + 3.2oz = 9.4oz = 0.26kg mgh = 1 2 m v 2 + 0 2 9.8 1.5 = 5.42 0 = 5.42 + 0.08 a a =− 67.7 m / s 2
Force Calculations Phone (No Case) 0.175 ∗( 5.42 0 ) 0.01 = 94.85 N Phone (Silicone Case) 0.22 ∗( 5.42 0 ) 0.05 = 23.84 N Phone (Hard Plastic Case) 0.20 ∗( 5.42 0 ) 0.03 = 36.13 N Phone (Rubber Case) 0.26 ∗( 5.42 0 ) 0.08 = 17.61 N Modeling Motion Velocity before impact: The velocity before impact remains constant in each test. Since the speed is dependent on the mass of the object, and the height is consistent between tests, thus the velocity for each remains the same. Acceleration: Since we were to assume standard free fall acceleration, the acceleration between items is the same. Even with this in mind, the deceleration of the object differs because of the object differences. Force: Since the velocity of the object doesn’t change, this affects the impact force of the object. Material Recommendation From the testing, the case with the lowest impact force was the rubber one, thus meaning it is the recommended phone case material. Although rubber would create a relatively great phone case to withstand drops of this height, the most useful material for creating cases would be silicone. This material is user friendly on the hands, is easy for manufacturing, and is significantly lighter than materials like hard plastic.
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