A ball of mass 0 . 5   kg moving horizontally at 10   m   s - 1 strikes a vertical wall and…

A ball of mass 0.5 kg moving horizontally at 10 m s-1 strikes a vertical wall and rebounds with speed v. The magnitude of the change in linear momentum is found to be 8.0 kg m s-1. The magnitude of v is,
  1. 6.0 m s-1
  2. 9.0 m s-1
  3. 26.0 m s-1
  4. 13.0 m s-1

Solution

Linear momentum is a vector quantity.

Initial momentum =+m×10 i^.

Final momentum =-mv i^

Change in linear momentum =-10m i^-mv i^=-10+vm i^

Therefore,

10+v×0.5=8v=16-10=6 m s-1

Asked in: AP EAMCET 2022 (04 Jul Shift 1)

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