1. The problem statement, all variables and given/known data Determine the acceleration of a 10kg block travelling up a ramp connected by a massless string and massless pulley to another block that is 5kg and in free-fall. if the coefficient of kinetic friction between the block and the ramp is 0.2 (The diagram shows one block that is 10kg travelling up a slope at 40 degrees, and a second block falling with a rope connected to it upwards) 2. Relevant equations Newtons 2nd law f_x = newtons law in x direction f_y= newtons law in y direction T= tension force f_k = friction force n= normal force w_1 = weight of block 1 (ramp) w_2= weight of block 2(ramp) 3. The attempt at a solution FBD_1 : The FBD of the block going up the ramp has axis tilted so that the normal force is in the positive y direction, kinetic friction to the negative x direction, tension to the positive x direction, and weight which has two components to it pointing down. FBD_2: The second block in free-fall has tension upwards since it is connected by a string and its weight downwards Block on ramp: F_x= -f_k +T + w_1sin∅=ma (1) F_y= n-w_1cos∅ (2) Frictional force can be solved for by solving for normal force, then subbing into μkn. The acceleration in block 1 and block two are the same with massless/frictionaless pulley and string approximation. Block in free fall: F_y=T-w_2=m_2a (3) .... The only unknown is the tension and the acceleration. So, I solved for the acceleration in block 2 and subbed it into equation 1 to solve the tension. Then plugged the tension force into equation 1 again and solved for the acceleration.. Essentially, subbed equation 3 into equation 1, then plugged the tension value into eq 1 and solved for acceleration, which came out to be around 20 . seemed kind of high to me . would those steps be considered right?