To calculate the weight of the block, we can use the formula:
Weight = Mass x Gravity
Where gravity is approximately 9.8 m/s^2.
First, we need to find the mass of the block. We can use the formula:
Density = Mass / Volume
The volume of the block is:
Volume = Length x Width x Height
Volume = 10 cm x 3 cm x 2 cm
Volume = 60 cm^3
We don't know the density of the metal, so we can't calculate the mass directly. However, we can use the spring balance reading to find the weight of the block.
The spring balance has a maximum reading of 10 Newtons, which corresponds to a length of 20 cm. When the block is hung on the balance, it stretches the string by 15 cm. The extension of the spring is proportional to the weight of the block, so we can use the following proportion:
Extension of spring / Total length of spring = Weight of block / Maximum weight of spring balance
Substituting the values we have:
15 cm / 20 cm = Weight of block / 10 N
Solving for the weight of the block:
Weight of block = 7.5 N
Now we can find the mass of the block:
Mass = Weight / Gravity
Mass = 7.5 N / 9.8 m/s^2
Mass = 0.765 kg
Finally, we can calculate the density of the metal:
Density = Mass / Volume
Density = 0.765 kg / 60 cm^3
Density = 0.01275 kg/cm^3
So the weight of the block is 7.5 N, the mass of the block is 0.765 kg, and the density of the metal is 0.01275 kg/cm^3.
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