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Two geometrically identical homogeneous balls are manufactured of different materials. Their densities ball-`1` and ball-`2` are `800 kg//m^(3)` and `200 kg//m^(3)` respectively. Both balls are dropped from very high tower. Assume that the air resistance is proportional to the square of velocity. Determine the ratio of the maximum velocities of the ball -`1` to ball-`2`.A. `2`B. `3`C. `4`D. `6` |
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Answer» The ball will achieve its velocity when its acceleration is zero. So, `m_(1)g=bv_(1_(max))^(2)` `m_(2)g=bv_(2_(max))^(2)` `((v_(1_(max)))/(v_(2_(max))))^(2)=(m_(1))/(m_(2))=(rho_(1))/(rho_(2))=4rArr(v_(1_(max)))/(v_(2_(max)))=2` |
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