A battleship simultaneously fires two shells toward two identical enemy ships. One shell hits ship A, which is close by, and the
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1) Force read on the upper scale: 33.4 N
2) Force read on the lower scale: 43.0 N
Explanation:
1)
The reading on the upper scale is equal to the net force acting on the block of metallic alloy. The net force is given by:
(1)
where
W is the weight of the block (downward)
B is the buoyant force (upward)
The weight of the block is given by
where m = 3.7 kg is the mass of the block and is the acceleration of gravity.
The buoyant force is given by
where
is the water density
V is the volume of the block
The volume of the block can be written as
where is the density of the block.
Substituting everything into eq.(1), we find:
2)
Here we want to find the force on the lower scale.
The force on the lower scale is equal to the difference between the total weight of the system (given by the weight of the beaker + the weight of the water + the weight of the block) and the upper net force exerted on the upper scale, therefore:
where:
is the mass of the beaker
is the mass of the water
is the mass of the block
is the upper net force
Substituting and solving, we find:
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