You have the correct answer for the second part. I think there is something wrong in the problem statement for the first part. Notice that it says the height is .5m and the speed is 1.2m/s. This is inconsistent with the answer for the second part.isukatphysics69 said:
The concept behind finding the height of a ball rotating in a cone without falling down involves using the principles of centrifugal force and gravity. As the ball rotates in the cone, the centrifugal force acts outward and the force of gravity acts downwards. The balance between these two forces determines the height of the ball.
To measure the height of a ball rotating in a cone without falling down, we can use a measuring instrument such as a ruler or measuring tape. We need to measure the distance between the highest point of the ball and the base of the cone. This will give us the height of the ball.
The height of a ball rotating in a cone without falling down is affected by several factors such as the speed of rotation, the mass of the ball, and the angle of the cone. As these factors change, the balance between centrifugal force and gravity also changes, resulting in a different height for the ball.
The angle of the cone plays a crucial role in determining the height of the ball rotating without falling down. A steeper cone angle will result in a higher height for the ball, as the centrifugal force acting outward increases with the angle. On the other hand, a shallower cone angle will result in a lower height for the ball.
The concept of finding the height of a ball rotating in a cone without falling down has various applications in physics and engineering. It can be used to understand the dynamics of objects in circular motion, such as satellites orbiting the Earth. It can also be applied in designing amusement park rides or other rotating machinery.
