A block of mass 10kg rests on a rough horizontal surface where the coefficient of kinetic friction is 0.40. Starting from rest, the block is pulled through 6m by a constant force of magnitude 80N acting at an angle of 30∘ above the horizontal.
a. (i) Determine the normal reaction acting on the block while it is being pulled.
b. (ii) Calculate the work done by the applied force during the 6m displacement.
c. (iii) Find the work done by the kinetic-friction force over the same displacement.
d. (iv) Using the work–energy theorem, compute the speed of the block after it has moved 6m.