A heavy object is lifted using two ropes and two pulleys, as shown in the diagram below. The two pulleys are a distance **x** apart. The force F_{A}, in rope A, is 730 N and the force F_{B}, in rope B, is 1 440 N. Rope A makes an angle of 70° with the horizontal and rope B makes an angle of 10° with the vertical.

2.1 Define the term resultant vector. (2)

2.2 Explain why the vector diagram of force FA, force FB and the weight will NOT be a closed vector diagram. (2)

2.3 Calculate the:

2.3.1 Vertical component of F_{A} (2)

2.3.2 Horizontal component of F_{A} (2)

2.4 Calculate the maximum weight that force F_{A} and force F_{B} will be able to lift from the ground. Show ALL calculations. (4)

2.5 Explain why the rope and pulley system will be less effective if the distance **x** between the pulleys is increased. (2)

**[14]**