Discover Why the Hoop Goes Furthest Up the Incline!
Why does the hoop go the furthest up the incline?
The data states that a solid ball, a solid disk, and a hoop, all with the same mass and the same radius, are set rolling without slipping up an incline, all with the same initial energy. Which one of them goes furthest up the incline?
Answer:
The hoop goes the furthest up the incline. Do you know why?
When rolling without slipping, the velocity of the hoop is v = ωR. This means that the kinetic energy of the hoop will be greater than that of the ball and the disk because the hoop has the largest moment of inertia (I = MR²).
The rotational kinetic energy of the hoop is given by E = (1/2)Iω² = (1/2)Mv², where I represents the moment of inertia, ω is the angular velocity, and v is the linear velocity of the object.
Since the hoop has the greatest moment of inertia, it possesses the highest rotational kinetic energy, allowing it to travel the furthest up the incline compared to the ball and the disk.
Now that you understand the physics behind it, you can see why the hoop outperforms the others!