Physics Problem: Catapult Design
This page presents a multiple-choice question from a 2014 exam, focusing on the application of Newton's Second Law in the context of a catapult design for anglers.
Problem:
A technician designs a catapult for anglers to project fish bait into water. The catapult uses pieces of elastic of different thicknesses to provide force on the ball. The amount of stretch given to each elastic is the same each time. The force exerted on the ball increases as the thickness of elastic increases.
Question:
Which combination of elastic thickness and ball mass produces the greatest acceleration?
Options:
A. 5 mm thickness, 0.01 kg mass
B. 10 mm thickness, 0.01 kg mass
C. 10 mm thickness, 0.02 kg mass
D. 15 mm thickness, 0.01 kg mass
E. 15 mm thickness, 0.02 kg mass
Answer: The correct answer is D (15 mm thickness, 0.01 kg mass).
Explanation:
According to Newton's Second Law (F = ma), acceleration (a) is directly proportional to force (F) and inversely proportional to mass (m). To achieve the greatest acceleration:
- We need the greatest force, which comes from the thickest elastic (15 mm).
- We need the smallest mass (0.01 kg).
Highlight: This question tests understanding of the relationship between force, mass, and acceleration in Newton's Second Law, a crucial concept in GCSE Physics and Nat 5 Physics.
This problem demonstrates the practical application of physics principles in real-world scenarios, such as the design of sporting equipment. It also emphasizes the importance of considering both the applied force and the mass of the object when analyzing motion.