Physics question help 2?

A sunken treasure has a mass of 2140 kg, most of which is due to silver and gold coins. In order to make it easier to raise the treasure, a diver descends 17 m to where the treasure is located and attaches balloon - like bladders to each corner of the treasure chest. The diver then inflates these bladders, so they provide buoyancy to the chest. The chest is still too heavy to float upward, but its weight has been largely counteracted by the inflated bladders, so that now it can be easily lifted by 4.41 X 103 J of net work. What is the magnitude of the net force that is exerted on the treasure in order to raise it to the water’s surface?

1 Answer
Feb 5, 2018

#F = 2.59 xx 10^2 N#

Explanation:

We’re essentially looking at the energy input required to equal a potential energy difference of 17m. Or the “acceleration” term must be equal to the gravitational acceleration in this problem #(9.80665 m/s^2)#. The SI unit of work is the joule (J), dimensionally: #1 kg*m^2/s^2#.
Work = Force x Distance ; Force = mass * acceleration
Work = Mass * Acceleration * Distance
Total Work = #2140kg * 9.80665 m/s^2 * 17m# = #3.499 x 10^9# Joules, or #3.499 x 10^6 kJ#
Net Work #= 4.41 xx 10^3 J#
Net Force #= ("Net Work")/("Distance") = (4.41 xx 10^3)/17 =2.59 xx 10^2 N#

#N = 1kg*m/s^2#