Answer:
Part a)
A = 0.0581 m
Part b)
T = 0.37 s
Explanation:
A slice is dropped onto the plate from a height of 0.250 m,
therefore the speed of the slice upon impact is calculated as

We know that


Now applying the conservation of momentum:



From this equation, we find:



When the slice rests on the plate, the new mean position can be expressed as


We also determine that the speed of SHM is represented as

Here, we derive values from





Using the previous formula gives:


Part b)
The time period for the scale is computed as


