explain why some of the leaves may get detached from a tree if we vigorously shake its branch...?

 The leaves would get detached if the force applied is greater than the force that holds those leaves attached to the tree. Every shake of the tree would not result in falling of leaves but only those that generate greater force than the force that holds the leaves to the tree.

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If  we  shake  a  tree  vigorously,  some  leaves  may  get  detached  from  a  tree.  This  is  because  of  inertia.  That  is,  the  leaves  get  a  natural  tendency  to  fall  downwards.

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Because the branches of the tree come in motion,while the leaves remain in the state of rest due to the inertia of rest. Thus the leaves get deatached.

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