3. A particle \(P\) of mass 0.2 kg oscillates with simple harmonic motion between the points \(A\) and \(B\), coming to rest at both points. The distance \(A B\) is 0.2 m , and \(P\) completes 5 oscillations every second.
- Find, to 3 significant figures, the maximum resultant force exerted on \(P\).
(6)
When the particle is at \(A\), it is struck a blow in the direction \(B A\). The particle now oscillates with simple harmonic motion with the same frequency as previously but twice the amplitude. - Find, to 3 significant figures, the speed of the particle immediately after it has been struck.
(5)