1.

Consider a hypothetical field in which force acting on a particle varies with its horizonal distance from wall AB is F=alphax and always towards wall. Ceofficient of restitution for collision between particle and wall is e=1/2. Find the maximumforce (in N) acting on the particle after 3^(rd) collision. (use alphax_(0)=16N)

Answer»


Solution :`K_(0)=1/2 alpha x_(0)^(2)`
Kinetic ENERGY just after `3^(rd)` collision `=(1/2)^(6)K_(0)=1/64K_(0)`
`1/64(1/2 alpha x_(0)^(2))impliesx=(x_(0))/8`
`F=alphax=(alpha x_(0))/8=2N`


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