A system containing a ball is oscillating on a frictionless horizontal plane. The position of the mass when its potential energy and its kinetic energy both are equal, is (let A is the amplitude of oscillation)

Step-by-step solution

Kinetic energy of the system in SHM, KE = 1 2 m ² (A²-x² ) Potential energy of the system in SHM , PE = 1 2 m ² x² According to question, PE = KE aligned 1 2 m ² x² &= 1 2 m ² (A²-x² ) x² &=A²-x² 2 x²=A² x &= A 2 aligned