How Does Mass Affect Spring Stretch in Hooke's Law?

AI Thread Summary
The discussion revolves around the application of Hooke's Law to determine the stretch of a spring when two masses are connected. A 15 N force is applied to a 3.0 kg mass, but the correct approach to calculate the spring's stretch involves analyzing the force on the 2.0 kg mass instead. The reason for this is tied to the direction of the force and the resulting acceleration of the system, which affects how the spring behaves. Using the larger mass leads to an incorrect calculation because it does not account for the interaction between the two masses. Understanding the dynamics of the system is crucial for accurately applying Hooke's Law in this scenario.
mateomy
Messages
305
Reaction score
0
A 2.0 kg mass and a 3.0 kg mass are on a horizontal frictionless surface, connected by a massless spring with spring constant k=140N/m. A 15 N force is applied to the larger mass, as a shown (see picture). How much does the spring stretch from its equilibrium length?


hookesExample.jpg




I've solved this problem -the answer is 4.28cm- but I had to do it using the force on the smaller of the masses (2 kg). My question is why I have to take it from that mass? Why couldn't you just find it from the 3 kg mass, by just taking the initial 15 N force as proportional to the Force of the spring? If you do this the book says that answer is wrong. The physical interpretation of WHY we have to to find it from the 2kg force is eluding me.
 
Physics news on Phys.org
The direction of force makes all the difference.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top