Physics Help!!!!! Maximum Kinetic Energy based on a graph?
A 2.50kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the ball’s position x as a function of time t.(Figure 1)
Part A: What is the maximum kinetic energy of the vibrating ball?
Part B: When does it occur?
I am so lost. I feel like there's not even enough info to begin! :/
max KE is at the equilibrium point, where PE is zero.
b. Need the graph for that.
Maximum kinetic 3nergy is achieved when the spring is in the unstretched poition.
Without knowledge of the spring constant and amplitude, or the maximum velocity, I cannot tell you what the maximum kinetic energy is.
Your figure probably has that information.
To determine the maximum kinetic energy of the vibrating ball based on the graph, you need to analyze the relationship between the ball's position (x) and time (t).
Part A: Maximum Kinetic Energy
1. First, observe the graph and identify the point(s) where the ball is located at its maximum displacement, which corresponds to maximum potential energy (PE). These points are where the graph reaches its maximum or minimum values.
2. At these points, the ball momentarily stops before reversing its direction. This means it has zero velocity and kinetic energy (KE).
- At maximum displacement, PE is at its maximum, and KE is at its minimum.
- At the equilibrium position, PE is at its minimum, and KE is at its maximum.
3. Therefore, the maximum kinetic energy occurs at the equilibrium position.
Part B: When the maximum kinetic energy occurs
To determine when the maximum kinetic energy occurs, you need to identify the point on the graph where the ball is at its equilibrium position.
1. Look for the point(s) on the graph where the position (x) is zero or closest to zero. This represents the equilibrium position.
2. Find the time (t) value that corresponds to this point on the graph.
- This is the moment when the ball reaches its equilibrium position.
- The value of t at this point represents when the maximum kinetic energy occurs.
Unfortunately, without specific information about the shape and characteristics of the graph, it is challenging to provide a precise answer. You might need to refer to the exact graph or provide more details for further assistance.