Hard
Question
A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end ofthe spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block isstretched by 0.2 m and released from rest at t = 0. It then executes simple harmonic motion with angularfrequency ω = π/3 rad/s. Simultaneously at t = 0, a small pebble is projected with speed v form point P atan angle of 450 as shown in the figure. Point P is at a horizontal distance of 10 m from O. If the pebble hitsthe block at t = 1 s, the value of v is (take g = 10 m/s2)
Options
A.√50 m/s
B.√51 m/s
C.√52 m/s
D.√53 m/s
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