Final answer:
To find the work done by various forces and the eventual speed of two blocks involved in a classical mechanics problem, key principles such as Hooke's Law, the work-energy theorem, and energy conservation must be applied.
Explanation:
To solve the problem set regarding forces and motion which involves concepts in kinetic and potential energy, work, and friction, one needs to apply principles of classical mechanics, specifically Newton's laws and the work-energy theorem. In question 1, the work done by the spring on mass m1 relates to the spring force which follows Hooke's Law, where the spring force F=-kx and the work done by spring W=springs=(1/2)kx^2. In question 2, the work done by friction on mass m2 can be found using the formula W=friction=-μkmgd, where μk is the coefficient of kinetic friction, m is the mass, g is the acceleration due to gravity, and d is the displacement. In question 3, the work done by gravity is W=gravity=mgd, where d is the vertical displacement. In question 4, the work done by tension is zero if the pulley is massless and frictionless. For question 5, energy conservation can be used to find the speed of the blocks by equating the potential energy lost by the falling block with the kinetic energy gained by both blocks.