Question

A diver is located 63 m below the surface of the ocean (the density of seawater is 1025 kg/m^3). To raise a treasure chest that she discovered, the diver inflates a plastic, spherical buoy with her compressed air tanks. The radius of the inflated buoy is 0.41 m. If the treasure has a mass of 215 kg, what is the acceleration of the buoy and the treasure chest when they are tethered together and released? The chest is 22 cm × 53 cm × 11 cm in size. Neglect the tether’s mass and the mass of the buoy (and air in it) because these are much smaller than the mass of the treasure chest. Neglect the tether’s volume as well. The effect of “water resistance” can also be neglected when the buoy is just released (it will become non-negligible as the speed increases, but you only have to calculate the initial acceleration).

When the buoy and the treasure reach the surface and come to rest, what fraction of the volume of the buoy is submerged? The buoy expands to 0.82 m in radius when it reaches the surface due to the reduction in the external pressure acting on the buoy.

Answer #1

A diver is located 63 m below the surface of the ocean (the
density of seawater is 1025
kg/m^3). To raise a treasure chest that she discovered, the
diver inflates a plastic, spherical
buoy with her compressed air tanks. The radius of the inflated
buoy is 0.41 m. If the
treasure has a mass of 215 kg, what is the acceleration of the
buoy and the treasure chest
when they are tethered together and released? The chest is 22 cm...

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and torr
b.) The diver measures the sixe of the chest to be 60cm x 40cm x
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c.) The diver wants to...

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A 55-kg diver stands at the end of a
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at 1.4 m from the bolt and the total length of the board is 3.9
m.
Draw a free body diagram showing the forces acting on the
diver.
Calculate the torque that she exerts on the board with respect
to the fulcrum. Neglect the mass...

A 55-kg diver stands at the end of a diving board located 10 m
above the water level. The diving board is held down at one end by
an anchor bolt. The fulcrum is located at 1.4 m from the bolt and
the total length of the board is 3.9 m.
a) Draw a free body diagram showing the forces acting on the
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(b) Calculate the torque that she exerts on the board with
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Q2. A 55-kg diver stands at the end of a diving board located 10
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(a) Draw a free body diagram showing the forces acting
on the diver.
(b) Calculate the torque that she exerts on the board
with respect to the fulcrum....

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