1. The problem statement, all variables and given/known data A gate to a bullpen is open at a right angle to the fence and the bull is rushing toward the opening to get out. The farmer estimates that the bull will reach the opening in 3 sec. so he pushes at the end of the gate (always at a right angle) with a force of 100N. The moment of inertia of the gate about the hinge is 1,000 kg m^2 and the gate length is 3. a. What is the magnitude of the torque applied by the farmer. b. What is the rotational kinetic energy of the gate after 3 seconds c. Through what angle will the gate have rotated after 3 sec. d. Will the gate be closed. 2. Relevant equations Torque, KE roational, Angular Kinematics 3. The attempt at a solution a. Torque= rFsin(theata) = (3)(100)sin90= 300Nm b. KE= (1/2)(I)(w^2) = (1/2)(1000)(?) c. angle= at^2/2? d. ?