5-2 Project 2 Newton's Laws of Motion

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PHY-150: 5-2 Project 2 Newton’s Laws of Motion Kyle Blan 2/13/22 To begin, I will be evaluating how the laws of motion apply to the drop force experienced by cellular phones when protected by cases modeled out of different materials. First, the law of inertia states that a body at rest has zero acceleration. We will assume that the cell phone has an initial acceleration of zero during the course of this experiment. In this case, the body (or cell phone) will be acted upon by the force of gravity. The second law of motion states that force is equal to mass times acceleration. The force of gravity is a known constant, and the mass of the cell phone and various cell phone cases is measurable, therefore we will be able to determine the acceleration of each test case, and given the constant distance, the final velocity. The third law of motion states that for every action there is an equal and opposite reaction. This is seen as the cell phone hits the ground, and the resulting internal collisions. This accounts for the damage that the cell phone might experience during testing.
PHY-150: 5-2 Project 2 Newton’s Laws of Motion Kyle Blan 2/13/22 Test Case Mass Velocity @impact / Deceleration Force of Impact Phone Only 175.7669g 5.42217668469038 4 m/s 25.8377343 N Phone + Silicone Case 223.96105g 5.42217668469038 4 m/s 32.92227434999999 5 N Phone + Hard Plastic Case 206.95135g 5.42217668469038 4 m/s 30.42184845 N Phone + Rubber Case 266.4853g 5.42217668469038 4 m/s 39.1733391 N Equations Impact Velocity v = m/s Impact Force F = mgh/d An object that is in free-fall is accelerating at a constant 9.81 m/s, which is the constant g , representing gravitational force. We also assume that no other force, such as drag or air resistance is acting upon the body. The velocity at impact seemed to be almost constant along this range of masses. The deceleration felt during the moment of impact during this test would be the inverse of the velocity at the moment of impact. The total impact force is a result of the total mass being acted upon by the gravitational constant. Given the data above, and understanding that any case will be more protective than none, I would recommend the hard plastic case. This is because the hard plastic case resulted in the lowest force of impact when dropped from a constant height of 1.5m. While this case had the lowest total force of impact, the materials ability to absorb this impact force would be worth measuring, to determine if significant force reduction is offered by any of the case designs.
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