Answer to Question #122810 in Physics for Susan Williams

Question

A body of mass 700 g hangs from the end of a long wire fixed to a high tree. A horizontal string attached to the body pulls it until the wire is 300 to the vertical. Find the tension in both the string and the wire.

Answer 1

The tension in the string:

$$T_s=mg\tan{30}=(0.7)(9.8)\tan{30}=4.0\ N$$

The tension in the wire:

$$T_s=mg\sec{30}=(0.7)(9.8)\sec{30}=7.9\ N$$