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Two ropes are puling a large ship at res...

Two ropes are puling a large ship at rest of mass `1xx106kg` into harbour. Rope A exerts a force of `40,000N` and rope B exerts a force of `30,000N`. Also the value of sin inverse `theta` is `4/5`
If the acceleration of the ship is `0.03ms^(-2)`, the magnitude of the resistive forces on the ship is

A

`40,000xx9.8N`

B

`30,000xx9.8N`

C

`27,000 N`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`40000xxsqrt3/2+30000xxsqrt((1-4/9))-F=10^6xx0.03`
`implies F=20000sqrt3+10000sqrt5-3000=27,000N`
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