A block starts from point C of a frictionless 37° incline AC of length 1 m. The inclined plane accelerates horizontally to the right with a₀=g. Find the time (s) taken for the block to reach A as drawn. Use g=10 m/s².
Physics · Mixed Chapter
JEE Main Practice

Question

A block starts from point C of a frictionless 37° incline AC of length 1 m. The inclined plane accelerates horizontally to the right with a₀=g. Find the time (s) taken for the block to reach A as drawn. Use g=10 m/s².

Physics · Mixed Chapter

G1 Physics · Accepted Answer

Step 1: In the wedge frame, pseudo-acceleration g acts horizontally left. Step 2: Along C→A (up the slope), pseudo acceleration contributes g cos37°; gravity contributes −g sin37°. Step 3: Net acceleration toward A is a = 10(4/5−3/5)=2 m/s². Step 4: Starting from rest, distance 1 = ½at² = t²; hence t = 1 s.