A ball falls freely from a height of 45m. When the ball is at a height of 25 m, it explodes into two equal pieces. One of them moves horizontally with a speed of 10 . The distance between the two pieces when both strike the ground in m is |

A ball falls freely from a height of 45m. When the ball is at a height of 25 m, it explodes into two equal pieces. One of them moves horizontally with a speed of 10 . The distance between the two pieces when both strike the ground in m is |

1 Answer

127 votes

Let at the time explosion velocity of one piece of mass is (10 ). If velocity of other be , then from conservation law of momentum (since there is no force in horizontal direction), horizontal component of , must be . Relative velocity of two parts in horizontal direction Time taken by ball to fall through 45m, and time taken by ball to fall through first 20m, . Hence time taken by ball pieces to fall from 25 m height to ground . Horizontal distance between the two pieces at the time of striking on ground m |

127 votes

127