Question
which graphs best shows the relationship between an objects mass and its kinetic energy (assuming constant velocity)
Answers
Answered by
GPT 3.5
The most appropriate graph to represent the relationship between an object's mass and its kinetic energy (assuming constant velocity) is a linear relationship.
In this case, the kinetic energy of an object is directly proportional to its mass. Mathematically, this relationship can be expressed using the equation:
Kinetic Energy = (1/2) * mass * velocity²
Since the velocity is constant, it can be considered a constant value in the equation. Thus, the equation can be simplified to:
Kinetic Energy = constant * mass
On a graph, this equation represents a straight line passing through the origin (0,0) with a positive slope, where the x-axis represents mass, and the y-axis represents kinetic energy. As mass increases, kinetic energy also increases proportionally.
In this case, the kinetic energy of an object is directly proportional to its mass. Mathematically, this relationship can be expressed using the equation:
Kinetic Energy = (1/2) * mass * velocity²
Since the velocity is constant, it can be considered a constant value in the equation. Thus, the equation can be simplified to:
Kinetic Energy = constant * mass
On a graph, this equation represents a straight line passing through the origin (0,0) with a positive slope, where the x-axis represents mass, and the y-axis represents kinetic energy. As mass increases, kinetic energy also increases proportionally.