Question:
How would your energy graphs look differently if the mass was 1 kg instead of 0.5 kg?
Response:
The energy graphs would look different in the manner that as the weight of the mass on the spring increase it also increases both potential and kinetic energy of the mass on the spring. For instance, the formula for kinetic energy is KE = 1/2m(v)^2, thus with the 0.5 kg mass it would be 1/4(v)^2 but as our mass increases the equation changes to 1/2(v)^2 which would always have a larger output that 1/4(v)^2 if the same velocity is used. Thus if our kinetic energy increases, our kinetic energy graph would be much farther spread out, its frequency would decrease because the mass of the object now increased. For gravitational potential energy, the formula is just PEg = mgh, and since mass increases from 0.5 to 1 kg, so does the gravitational potential energy. Then the graph of potential energy for the new mass would become more narrower than it was previously as the potential energy has increased, so the parabola like graph for potential energy for 0.5 would become condensed.
How would your energy graphs look differently if the mass was 1 kg instead of 0.5 kg?
Response:
The energy graphs would look different in the manner that as the weight of the mass on the spring increase it also increases both potential and kinetic energy of the mass on the spring. For instance, the formula for kinetic energy is KE = 1/2m(v)^2, thus with the 0.5 kg mass it would be 1/4(v)^2 but as our mass increases the equation changes to 1/2(v)^2 which would always have a larger output that 1/4(v)^2 if the same velocity is used. Thus if our kinetic energy increases, our kinetic energy graph would be much farther spread out, its frequency would decrease because the mass of the object now increased. For gravitational potential energy, the formula is just PEg = mgh, and since mass increases from 0.5 to 1 kg, so does the gravitational potential energy. Then the graph of potential energy for the new mass would become more narrower than it was previously as the potential energy has increased, so the parabola like graph for potential energy for 0.5 would become condensed.