Answer:
Workdone = 0.67 Joules
Step-by-step explanation:
Given the following data;
Workdone = 6J
Extension = 43 - 28 = 15cm to meters = 15/100 = 0.15m
The workdone to stretch a string is given by the formula;
Workdone = ½ke²
Where;
k is the constant of elasticity.
e is the extension of the string.
We would solve for string constant, k;
6 = ½*k*0.15²
6 = ½*k*0.0225
Cross-multiplying, we have;
12 = 0.0225k
k = 12/0.0225
k = 533.33N/m
a. To find the workdone when e = 33, 38.
Extension = 38 - 33 = 5 to meters = 5/100 = 0.05m
Workdone = ½*533.33*0.05²
Workdone = 266.67 * 0.0025
Workdone = 0.67 Joules
Therefore, the amount of work (in J) needed to stretch the spring from 33 cm to 38 cm is 0.67.