A horizontal spring block system executes SHM with amplitude A = 10 cm initial phase `phi =0` and angular frequency `omega`. The mass of block is M = 13 kg and there is no friction between the block and the horzontal surface. The spring constant being 2500N/M
At `t = t_(1)` sec [for which `omega t_(1) = phi_(1) = 30^(@)`]. A mass m = 12 kg is gently put on the block. [Assume that collision between the block adn the mass is perfectly inelastic and mass m remains stationary w.r.t. the block M always]

The total energy of system after collision at any moment of time is

Options

A. 4 joule
B. 8 joule
C. 12 joule
D. none of these

Answer

B