A treasure chest full of silver and gold coins is being lifted from a pirate ship to the shore using two ropes as shown in the figure. The mass of the treasure chest is 75.6 kg.
If the tension in rope A is 7.42x10^2 N and the tension rope B carries is 7.52x10^2 N, what is the tension in rope C?

A treasure chest full of silver and gold coins is being lifted from a pirate ship to the shore using two ropes as shown in the figure The mass of the treasure c class=

Respuesta :

The tension in rope C is determined as 122.23 N.

Tension in rope C

The tension in rope C is calculated as follows;

B² = A² + C²

C² = B² - A²

where;

  • C is tension in rope C
  • A is tension in rope A
  • B is tension in rope B

C² = (752²) - (742²)

C² = 14,940

C = √14,940

C = 122.23 N

Thus, the tension in rope C is determined as 122.23 N.

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