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A ship is using a chian to pull up its anchor in the ocean. The volume...

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Physics

A ship is using a chian to pull up its anchor in the ocean. Thevolume of the anchor is 2.4m^3, and the anchor is made of steel andhas a density of 7800 kg/m^3. If the density of the ocean water is1,000 kg/m^3, what is the change in weight on the anchor?

Answer & Explanation Solved by verified expert
4.4 Ratings (702 Votes)

Original weight of the anchor is

W = dVg

    = 7800 * 2.4 * 9.8

    = 183456 N

Mass of water displaced by the anchor = density of water * volume of anchor

                                                              = 1000 * 2.4 = 2400 kg

Weight of the water displaced = 2400 * 9.8 = 23520 N

Now the weight of the anchor in water is, W' = 183456 N - 23520 N

                                                                     = 159936 N

So, the change in weight of the anchor is = 183456 - 159936= 23520 N

This means the weight of the dispaced water is equal to the change in the wieght of the anchor.
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