GATE Mechanical 2023 | Question: 27

Question

\begin{tabular}{|l|l|}
Q.37 & $\begin{array}{l}\text { A spherical ball weighing } 2 \mathrm{~kg} \text { is dropped from a height of } 4.9 \mathrm{~m} \text { onto an } \\
\text { immovable rigid block as shown in the figure. If the collision is perfectly elastic, } \\
\text { what is the momentum vector of the ball (in } \mathrm{kg} \mathrm{m} / \mathrm{s} \text { just after impact? } \\
\text { Take the acceleration due to gravity to be } g=9.8 \mathrm{~m} / \mathrm{s}^{2} \text {. Options have been } \\
\text { rounded off to one decimal place. }\end{array}$ \\
\hline & \\
\hline

• A. & $19.6 \hat{\boldsymbol{\imath}}$ \\
  \hline
• B. & $19.6 \hat{\boldsymbol{\jmath}}$ \\
  \hline
• C. & $17.0 \hat{\boldsymbol{\imath}}+9.8 \hat{\boldsymbol{\jmath}}$ \\
  \hline
• D. & $9.8 \hat{\boldsymbol{\imath}}+17.0 \hat{\boldsymbol{\jmath}}$ \\
  \hline
  \end{tabular}