A block of mass 8.1 kg rests on a plane inclined at an angle of 27°. The static coefficient of friction between the block and the plane is 0.67. What is the frictional force on the block?
1. 36.0378 N
2. 24.1453 N
3. 70.7281 N
4. 11.3501 N
5. 47.3878 N
A string going over a massless frictionless pulley connects two blocks of masses 5.9 kg and 19 kg. As shown on the picture below, the 5.9 kg block lies on a 32° incline; the coefficient of kinetic friction between the block and the incline is μ = 0.33. The 19 kg block is hanging in the air. The 19 kg block accelerates downward while the 5.9 kg block goes up the incline with the same acceleration.
Given g = 9.8 m/s², what is the acceleration of the system?
Answer in units of m/s².