An object has a mass of 4 kg. The object's kinetic energy uniformly changes from 16 KJ to 96KJ over t in [0, 6 s]. What is the average speed of the object?
1 Answer
Apr 27, 2017
163.345
Explanation:
Here, let's assume that uniform change means that the graph of Kinetic energy vs. time is a straight line.
Let y coordinate be kinetic energy, and x coordinate be time. As at x=0, y=16000, so y-intercept of line is 16000.
Slope of the line is
Equation of line is
Putting value of m as 4 and simplifying:
Putting
Upon integrating (which I leave up to you),
We know that average speed = total distance / total time.
So Avg. Speed
Avg. Speed