A block of mass mA=20kg on an inclined plane and a bucket of mass m(bucket)=15kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of TETA=44 DEGREE with the horizontal and the coefficients of kinetic and static friction are μk=0.25 and μs=0.6. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!

A block of mass mA=20kg on an inclined plane and a bucket of mass m(bucket)=15kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of TETA=44 DEGREE with the horizontal and the coefficients of kinetic and static friction are μk=0.25 and μs=0.6. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!