A block oscillating on a spring has an amplitude of 20 cmcm. Part A Part complete What will the block's amplitude be if its tota
1 answer:
Hi there!
Recall that the amplitude of an oscillating system occurs at a point of maximum potential energy.
For a spring system, potential energy is given as:
U = Potential Energy (J)
k = Spring constant (N/m)
x = amplitude (m)
We can rearrange the equation to solve for amplitude more easily.
If we double 'U':
Thus, the new amplitude would be √2 times greater, so:
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. Using the information about the radius, 
, we find the total angular displacement:
2) If we put larger tires, with radius
, the angular displacement will be smaller. We can see this by using the same formula. In fact, this time we have:
where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire:
2) If we put larger tires, with radius