Question 1: Part A
Forces acting on each other when we drop a smartphone on the ground:
- Gravity: The force of gravity pulls the smartphone downward toward the Earth.
- Normal Force: The ground exerts an upward normal force on the smartphone when it impacts the ground.
- Air Resistance: As the smartphone falls, it experiences air resistance opposing its motion.
Question 2: Part B
Forces model illustration fill in:
- The phone exerts a downward force on the ground due to gravity.
- The ground exerts an equal and opposite force upward on the phone, known as the normal force.
- Air resistance acts upwards on the phone while it is in free fall, opposing the force of gravity.
Question 3:
Percentage increase in toilets vs. dropped on ground: Let's assume the data from the graph indicates that 5% of individuals drop their phones into toilets, and 4% drop them on the ground.
The percentage increase can be calculated using the formula: \[ \text{Percentage Increase} = \left(\frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\right) \times 100 \] If we say the percentages were as we assumed: \[ \text{Percentage Increase} = \left(\frac{5 - 4}{4}\right) \times 100 = 25% \] Answer: 25%
Question 4:
Claim, Evidence, and Reasoning model:
Claim: The most protective phone case is the brand "XtremeGuard."
Evidence: According to Table 1, this brand case has a drop distance rating of 10 feet and features shock absorption technology.
Reasoning: This evidence supports the claim because a phone case with a higher drop distance rating and shock absorption is more likely to protect the phone from falls, effectively minimizing damage upon impact.
Question 5:
Part A: Rank based on best protection to worst protection:
- XtremeGuard (10 feet)
- DefenderPro (8 feet)
- SlimShield (6 feet)
- BasicCase (3 feet)
Question 6:
Part B: Rank based on best price to worst price:
- BasicCase ($10)
- SlimShield ($20)
- DefenderPro ($35)
- XtremeGuard ($50)
Question 7:
Claim, Evidence, and Reasoning model:
Claim: The phone case that best meets my budget and protection needs is the "DefenderPro."
Evidence: According to Table 1, this brand will protect my phone because it has a drop distance rating of 8 feet and will be the best for my budget because it costs $35.
Reasoning: This evidence supports the claim because the DefenderPro case balances good protection with reasonable cost, making it a smart choice for both protection and budget.
Question 8:
Description of new smartphone case: I would create a hybrid smartphone case combining the features of "XtremeGuard" and "DefenderPro." This new design would have enhanced shock-absorbing edges and a reinforced back for added protection, along with a rubberized exterior for better grip. Additionally, I would incorporate a built-in screen protector to provide comprehensive coverage against drops and scratches.
Question 9:
Explanation of design optimization and Newton's Third Law: The updated design optimizes phone protection by ensuring that energy from an impact is dissipated through the shock-absorbing edges, which deform upon impact, reducing the force transferred to the phone itself. According to Newton's Third Law, for every action (the phone falling), there is an equal and opposite reaction (the case absorbing the impact). By designing the case to absorb and redistribute this force, it minimizes damage upon impact.
Question 10:
Variables Identification:
Independent Variable: Height dropped.
Dependent Variable: Damage to the phone on impact.
Control Variables: Type of flooring, type of phone in the case, and environmental conditions during the drop test (e.g., temperature, humidity).
Please remember that the specific values and details for questions about tables and graphs are assumed or illustrative. You should replace them with actual data from your sources if available.