Yes, if the bullock applies force to the cart and causes it to move, meeting both conditions, then work is done in this situation.
Can we conclude that work is indeed done when a bullock pulls a cart based on the conditions outlined for work in science?
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Yes, work is done when a bullock pulls a cart, as long as there is a force applied by the bullock in the direction of displacement. This satisfies the conditions outlined for work in science.