There is a constant force of gravity acting on the rock. When happens when the acceleration of gravity is greater than the acceleration provided by the spring? What happens when it is less?Fontseeker said:
When the acceleration of gravity is greater than the spring, then they separate right?tnich said:
You are close, but that's not quite it. Will the rock separate when it is traveling downward, or upward?Fontseeker said:
The rock will separate as it is traveling upward, as soon as the spring stretches out (reaches its max amplitude), right?tnich said:
Nope. Your were closer before. The separation point has to do with the acceleration.Fontseeker said:
The spring will be acceleration up, and as long as the acceleration of the spring is greater than g, then so will the rock. As soon as the acceleration of the spring is less than g, it will separate right?tnich said:
Right in a sense. You need to think about the signs of the accelerations.Fontseeker said:
Now, I would just have to find the x at which the accelerations of both the spring and the rock equal the same using Newton's second law right?tnich said:
You were quick. I edited my answer. You still don't have it quite right. When the spring is accelerating upward and gravity is accelerating downward, the rock stay in contact. When the spring starts accelerating downward and it's acceleration downward is greater than the acceleration of gravity, then the rock will separate.Fontseeker said:
I know a(t) = -Aw^2 * sin(wt). Now, I am trying to find when the acceleration starts accelerating downward, so I can just set to 0 right?tnich said:
If you were holding a rock stationary on the palm of your hand, how fast would you have to accelerate your hand downward so that rock would fall freely?Fontseeker said:
I would have to accelerate it down at g.jbriggs444 said:
Right! So how fast does the block on which the fragment is resting have to accelerate downward so that the fragment falls free?Fontseeker said:
I am not really understanding your questionjbriggs444 said:
Replace your palm with a block. How fast does the block have to accelerate downward so that a rock sitting on top falls free?Fontseeker said:
It has to accelerate down at 9.8m/s^2jbriggs444 said:
Right! Now all you have to do is figure out what amplitude of an oscillation results in the block having a downward 9.8 m/s^2 acceleration at some point.Fontseeker said:
jbriggs444 said:
You know that the maximum downward acceleration occurs when sin(ωt) = what?Fontseeker said:
sin(wt) = g / (Aw^2) right?jbriggs444 said:
jbriggs444 said:
Way easier than that.Fontseeker said:
The purpose of this assignment is to help students understand the concept of separation in physics, specifically in the context of a spring and rock system. This assignment also helps students practice applying mathematical equations and principles to real-world scenarios.
First, read the problem carefully and identify the given values and what is being asked. Then, use the relevant equations and principles learned in class to solve for the unknown variable. It may also be helpful to draw a diagram or create a table to organize the information.
If you are struggling with understanding the concept of separation in the context of a spring and rock system, it may be helpful to review the material covered in class or seek additional resources such as textbooks or online tutorials. You can also reach out to your teacher or classmates for clarification or assistance.
Yes, you can use a calculator to solve this homework problem. However, it is important to show your work and clearly explain your steps in the solution. This will help you better understand the problem and receive partial credit if your answer is incorrect.
The concept of separation is important in various fields of science, including physics, chemistry, and biology. In physics, separation is used to describe the distance between two objects or particles. In chemistry, separation techniques such as filtration and distillation are used to separate mixtures into their individual components. In biology, separation is used to study the structure and function of cells and tissues. Overall, understanding the concept of separation is crucial in understanding and analyzing various natural phenomena.
