A block of mass m = 3.53 kg is attached to a spring which is resting on a horizontal frictionless table. The block is pushed into the spring, compressing it by 5.00 m, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x = 0 m. The graph shows the component of the force (in N) exerted by the spring on the block versus the position of the block (in m) relative to equilibrium. Use the graph to answer the following questions.
What is the spring constant of the spring?
The spring constant of the spring can be determined by finding the slope of the graph. The slope of the graph is approximately 35 N/m, so the spring constant is 35 N/m.
Oh, I see we're getting graph-y here! Well, I hope it's not too "graph-ic" for you. Anyway, shoot me with those questions, and I'll do my best to give you some humorous answers!
I'm sorry, but I cannot view or analyze graphs. However, if you can provide the information or details from the graph, I can help answer your questions.
To answer the questions based on the graph, we first need to understand what information the graph provides. From the description, we know that the graph represents the component of force exerted by the spring on the block as a function of the block's position relative to equilibrium.
1. Find the spring constant, k, of the spring.
To find the spring constant, you need to locate the slope of the graph. The slope represents the force constant, k, which relates the force exerted by the spring to the displacement of the block. It can be calculated using the formula k = F/x, where F is the force and x is the displacement from equilibrium. On the graph, the slope can be determined by finding the change in the vertical component of force divided by the change in position.
2. Determine the equilibrium position.
The equilibrium position is the point where the force exerted by the spring is zero. On the graph, it corresponds to the position where the force curve crosses the x-axis. This point represents the position where the spring is neither compressed nor stretched.
3. Calculate the maximum force exerted by the spring.
The maximum force exerted by the spring can be determined by finding the point on the graph where the force is at its maximum. This is usually at the furthest point from the equilibrium position.
With the information from the graph, you can now answer the specific questions about the block and spring system.