Split forces ( 4 points ) Learning Objectives: Use trigonometric relations to describe the split of forces along cords and ropes. a) Find the tension in each cord (in Fig. 1) if the weight of the object is w. 45 60 Fig. 1 b) In Fig. 2, two ropes are connected to a cable that supports a hanging box. Assume the ropes (left and right) can withstand a maximum tension of 5.0 kN. What is the maximum mass of the hanging box the ropes can support. Assume ropes and cable are massless. 260 40%% Fig. 2Newtons law ( 4 points ) Learning Objectives: Apply the concept of force causes is related to a change of motion. a) A 55.0-kg person travelling in an elevator is standing on a spring scale that reads 420 N. (1) What are the magnitude and direction of the elevators acceleration? (2) When travelling in the opposite direction with the same magnitude of acceleration of the elevator what force will the scale show? b) A car is travelling 35 m/s along a horizontal road. Then it brakes, all four wheels lock and the car is coming to a rest. Assume a frictional coefficient of u = 0.30 between car and road. How far does the car still travel after braking and before coming to rest?Mass and acceleration ( 4 points ) Learning Objectives: Describe the motion of objects using Newtons law. You have two masses attached to a (massless) rope which is laid around a disc. The rope can slide without friction on the disc. The initial distance between the masses is h = 60.0 cm, their masses are m1 = 1.30 kg, m2 = 2.804 kg. a) When released, what is the magnitude of the masses' acceleration? b) When releasing the masses, after what time will they be at the same height? m2 m1Centripetal force ( 4 points ) Learning Objectives: Describe a circular motion and apply the concept of a centripetal force. A stone with mass m = 130 g is attached to a string of length _ = 0.850 m and spun around in a circle. It takes 1.24 s for a full revolution. a) Determine the angle of the string relative to the horizontal. b) Determine the tension in the string