A mass 1 = 0.2 kg is tied with an ideal massless cord to another mass 2 = 1kg over a frictionless pulley as shown in the figure. The static and kinetic friction coefficients between the horizontal table and 2 are equal with value = 0.3. Initially, the system is at rest. A force |⃗| = 5√2 is applied to 2 with angle α = cos−1(1 5√2), as shown in the figure. ( = 10 /2). (a) What is the work done on the system by F when 2 moves by 1 meter?

(b) What is the work done on the system by friction for the same motion?

(c) What is the velocity (both direction and magnitude) of 1 after 2 has moved by 1 meter?