An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement fr
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Answer:
The length at the final temperature is 11.7 cm.
Explanation:
We need to use the thermal expansion equation:
Where:
- L(0) is the initial length
- ΔT is the differential temperature, final temperature minus initial temperature (T(f)-T(0))
- ΔL is the final length minus the initial length (L(f)-L(0))
- α is the coefficient of linear expantion of steel (12.5*10⁻⁶ 1/°C)
So, we have:
Therefore, the length at the final temperature is 11.7 cm.
I hope it helps you!
Answer:
Explanation:
To express the cheetah's top speed in miles per hour, we just need to find the conversion factor.
We know that the top speed is
So, we want to obtain miles from meters and hours from seconds.
<h3>miles from meters</h3>First we write the equivalence:
Now, we can divide by 1609.34 meters on both sides:
The left sides equals 1, so
And this is our conversion factor from meters to miles. Now, we can multiply our top speed by this conversion factor, as the conversion factor equals one, and is dimensionless, the physical meaning will be the same.
This is the top speed in miles per second, now, for obtaining miles per hour:
<h3>hours from seconds</h3>We can do pretty much the same, first, the equivalence:
as the seconds are dividing in the velocity, we know divide by 1 hour.
and know we just multiply our top speed by this conversion factor