AP EAMCET · PHYSICS · Motion In One Dimension
Two bodies A and B of masses 2 m and m are projected vertically upwards from the ground with velocities \(u\) and 2 u respectively. The ratio of the kinetic energy of body A and the potential energy of body B at a height equal to half of the maximum height reached by body A is
- A \(8: 1\)
- B \(1: 1\)
- C \(4: 1\)
- D \(2: 1\)
Answer & Solution
Correct Answer
(D) \(2: 1\)
Step-by-step Solution
Detailed explanation
For body A, \(\mathrm{H}_{\max }=\frac{\mathrm{u}^2}{2 \mathrm{~g}}, \mathrm{~m}_1=2 \mathrm{~m}, \mathrm{u}_1=\mathrm{u}, \mathrm{H}_1=\frac{\mathrm{H}_{\max }}{2}=\frac{\mathrm{u}^2}{4 \mathrm{~g}}\) By principle of energy conservation,…
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