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.

Tension in rope A:

7.42×102 N

Tension in rope B:

7.52×102 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 :

Tension in the rope C is 1.24× 10² N.

To find the answer, we need to know about the horizontal component of tension in the rope B.

What's the angle made by the rope B by horizontal?

  • From the figure of the answer, in the triangle PQR, tan(θ)= PQ/QR = 6/1= 6
  • θ= tan inverse of 6 = 80.5°

What's the horizontal component of the tension in rope B?

Horizontal component= tension in rope B × cos80.5°

= 7.52×10² N × cos80.5°

= 1.24×10² N

What's the tension in the rope C?

  • From the figure, we have found that the tension in rope C = horizontal component of the tension in rope B
  • So, tension in rope C= 1.24×10² N

Thus, we can conclude that the tension in the rope C is 1.24× 10² N.

Learn more about the tensional force here:

brainly.com/question/2008782

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