Standard +0.3 This is a standard energy conservation problem with elastic strings requiring students to equate initial kinetic energy to elastic potential energy at maximum extension. The calculation is straightforward with given values, involving one main equation (½mv² = ½λx²/l) and basic algebra to solve for x, making it slightly easier than average.
1 A particle of mass 0.3 kg is attached to one end of a light elastic string of natural length 0.6 m and modulus of elasticity 9 N . The other end of the string is attached to a fixed point \(O\) on a smooth horizontal surface. The particle is projected horizontally from \(O\) with speed \(4 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Find the greatest distance of the particle from \(O\).
1 A particle of mass 0.3 kg is attached to one end of a light elastic string of natural length 0.6 m and modulus of elasticity 9 N . The other end of the string is attached to a fixed point $O$ on a smooth horizontal surface. The particle is projected horizontally from $O$ with speed $4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. Find the greatest distance of the particle from $O$.\\
\hfill \mbox{\textit{CAIE M2 2019 Q1 [3]}}