A playground ride consists of a disk of mass M=48 kg and radius R=1.6 m mounted on a low-friction axle (see figure below). A child of mass m=22 kg runs at speed v=2.8 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. What is the change in the kinetic energy of the child plus the disk? The image depicts a physics problem involving rotational motion and momentum. It shows a circular platform with a radius \( R \) and mass \( M \). A child with mass \( m \) is running towards the platform with velocity \( v \). The scenario is commonly used to illustrate concepts such as conservation of angular momentum and the dynamics of systems in rotational motion.Diagram Explanation:- The child is depicted with an arrow indicating motion towards the platform, symbolizing velocity \( v \).- The platform is circular and has four equidistant vertical handles around its edge, which might be used for grip or balance.- The platform rotates around a central axis, and the interaction considers the effects of the child jumping onto it.- The variables \( m \), \( M \), \( v \), and \( R \) represent the mass of the child, the mass of the platform, the velocity of the child, and the radius of the platform, respectively.This type of problem is used to understand how linear momentum is transferred into angular momentum and how the system's total momentum is conserved.

Name: A playground ride consists of a disk of mass M=48 kg and radius R=1.6
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: A playground ride consists of a disk of mass M=48 kg and radius R=1.6 m mounted on a low-friction axle (see figure below). A child of mass m=22 kg runs at speed v=2.8 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. Wha