Two blocks connected by a light string are being pulled to the right by a constant force of
magnitude 30.0 N making an angle of 25o from the horizontal. The coefficient of kinetic friction
between each block and the surface is 0.100. If m1 = 5.00 kg and m2 = 10.0 kg , (a) Draw a free body diagram for each object. (b) Find the accleration of the system. (c) Find the tension in the string.
The Attempt at a Solution
My attempt at part a:
My attempt at part b:
I got that the force in the x direction of block 2 being pulled is 27.2. So I got that the sum of the forces would be: 27.2-9.8-4.9 = 12.5
Since F=ma and m equals 15, I got that the acceleration equals .833m/s², but that is not the correct answer.
Edit: OK I think I have figured out part b. I realized that the 30N force on m2 was causing a force of 12.7N in the y direction, making the normal force on m2 equal to 85.3N, making the kinetic friction on m2 equal to 8.53N. So why you sum up the forces in the x direction you get: 27.2-8.53-4.9 = 13.77. I then divided by the total weight which is 15 and got .918. Is this correct?
My attempt at part c:
I am really not sure how begin to solve part c