Question
Zehra needs to pass the salt shaker (m = 120 g) to her sister at the other end of the dinner table (negligible friction). She
Zehra needs to pass the salt shaker (m = 120 g) to her sister at the other end of the dinner table (negligible friction). She launches the salt shaker horizontally across the table using a compressed spring with k = 40 N/m. Her sister misses the catch, and the salt shaker slides off the table. It falls through a vertical distance of h = 0.60 m and hits the floor with a speed of v = 3.5 m/s. What was the compression x that Zehra must have given to the spring? For the limits check, investigate what happens to x if the spring becomes very stiff (k ).
1) representation of the problem
2) initial equations
3) algebra work ( symbolise only. don't plug in any number yet.)
4) symbolic answer
5) unit check
6) limit check
a) as v1. what limit does hf approach?
b)why does the result make physical sense?
7) numerical answer
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