Kakembo James asked in Math

a force of 100 Newtons stretches and elastic Sprint by 2 centimeters what force would stretch The Same spring by 3.5cm

Thank You

Sanat K Mukherjee answered this

Dear Student,
Let k be the spring constant. So, the magnitude of force required to stretch a spring by x = 2 cm = 0.02m is given as:

Thus, magnitude of force required to stretch the same spring by 3.5 cm is $F\text{'}=kx\text{'}=5000\frac{N}{m}×0.035m=175N$.
Regards,