Final answer:
Hickory wood is the best option for making spokes in the cart's wheels due to its strength, toughness, and shock resistance.
Explanation:
Hickory wood would be the best choice for making spokes in the wheels of a cart designed for a farmer. Hickory is known for its strength, toughness, and shock resistance, making it ideal for withstanding the stress and impact that spokes experience while the cart is in use. In contrast, balsa wood is too soft and lightweight for this purpose, pine is not as durable as hickory, and recycled wood may not have the necessary strength needed for spokes.
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