Both conditions are met: a force is applied, and the book is displaced upwards.
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No, work is not done because the object must be displaced for work to be considered done in the scientific sense.
Yes, work is done because the bullock exerts a force on the cart, and the cart is displaced.
Because a force is applied to the book, and it is displaced through a height, satisfying both conditions for work.
A force must act on an object, and the object must be displaced.