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GATE Mechanical 2023 | Question: 27

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A spherical ball weighing $2 \mathrm{~kg}$ is dropped from a height of $4.9 \mathrm{~m}$ onto an immovable rigid block as shown in the figure. If the collision is perfectly elastic, what is the momentum vector of the ball (in $\mathrm{kg} \; \mathrm{m} / \mathrm{s}$ ) just after impact?

Take the acceleration due to gravity to be $g=9.8 \mathrm{~m} / \mathrm{s}^2$. Options have been rounded off to one decimal place.

  1. $19.6 \hat{\imath}$
  2. $19.6 \hat{\jmath}$
  3. $17.0 \hat{\imath}+9.8 \hat{\jmath}$
  4. $9.8 \hat{\imath}+17.0 \hat{\jmath}$
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