The force on the $6^{\text {th }}$ coin (counted from the bottom) due to all the coins on its top is equal to $4 \,mg$ (downwards)
The force on $6^{\text {th }}$ coin due to $7^{\text {th }}$ coin is $4 \,m g$ (downwards)
The reaction of the $6^{\text {th }}$ coin on the $7^{\text {th }}$ coin is $4\,m g$ (upwards)
The total force on the $10^{\text {th }}$ coin in $9 \,mg$ (downwards)
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The Correct Option isD
Solution and Explanation
Ten coins are placed one over another as shown. As the $6^{\text {th }}$ coin has $4$ coins on its top, therefore the force experienced by the $6^{\text {th }}$ coin will be $4 \,mg$. As $7^{\text {th }}$ coin has $3$ coin on its top, therefore it will exert a force of $4 \,mg$ on $6^{\text {th }}$ coin. As every action has equal and opposite reaction therefore $6^{\text {th }}$ coin will give a reaction of $4 \,mg$ to the $7^{\text {th }}$ coin upwards
The $10^{\text {th }}$ coin will experience a reaction force of $1\, mg$ as it exerts a force of $1\, mg$.
The laws of motion, which are the keystone of classical mechanics, are three statements that defined the relationships between the forces acting on a body and its motion. They were first disclosed by English physicist and mathematician Isaac Newton.
Newton’s First Law of Motion
Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.
Newton’s Second Law of Motion
Newton's 2nd law of motion deals with the relation between force and acceleration. According to the second law of motion, the acceleration of an object as built by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Newton’s Third Law of Motion
Newton's 3rd law of motion states when a body applies a force on another body that there is an equal and opposite reaction for every action.
