IB Physics Two blocks on a horizontal table

A tutorial sheet on two blocks on a table follows.

  1. A 2.0 kg block sits on a 4.0 kg block that is resting on a frictionless table. The coefficients of static and dynamic friction between the blocks are 0.3 and 0.2 respectively. What is the maximum horizontal force that can be applied to the 4.0 kg block if the 2.0 kg block is not to slide on the 4.0 kg block? (Tipler Physics 3rd edition, p 133, q 47. )

  2. A 60 kg block slides along the top of a 100 kg block with an acceleration of 3.0 m s -2 when a horizontal force of 320 N is applied. The 100 kg block sits on a smooth horizontal surface, but there is friction between the two blocks. Find (a) The coefficient of kinetic friction between the blocks. (b) The acceleration of the 100 kg block during the time that the 60 kg block maintains contact. (loc. cit, q 42)