Pyramid math (algebra 1)
1 answer:
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When you drop an object from some height on the spring objects initial potential energy is converted to kinetic energy, this kinetic energy is then used to compress the spring. Once all the energy is used the spring stops compressing and starts oscillating.
We need to find how much the spring compressed in both cases.
From the above analysis, we can conclude that potential energy in the gravitational field has to be equal to the potential energy of compressed spring.
We solve for x (in our case h=1):
Now we just have to plug in the numbers:
We need to find how much the spring compressed in both cases.
From the above analysis, we can conclude that potential energy in the gravitational field has to be equal to the potential energy of compressed spring.
We solve for x (in our case h=1):
Now we just have to plug in the numbers:
The specific heat capacity of the block is
Explanation:
As the block is placed into the water, heat energy is transferred from the water (which is at higher temperature) to the block (which is at lower temperature), until the block and the water are in thermal equilibrium (= same temperature).
Therefore, we can write:
Where
is the heat energy released by the water, where
is the mass of the water
is the water heat specific capacity
is the initial temperature of the water
is the temperature at equilibrium
Substituting,
Now we can write the heat energy absorbed by the block as
where
is the mass of the block
is the specific heat capacity of the block
is the initial temperature of the block
And solving for ,
Learn more about specific heat capacity:
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