Answer:
Explanation:
Let T represent the tension in the swing.
At the peak 
where v denotes the velocity needed to maintain the circular motion.
r equals the distance from the rotation point to the center of the ball, which is L+\frac{d}{2} (with d being the ball's diameter).
The threshold velocity can be expressed as 
To determine the velocity at the bottom, we can use energy conservation principles at both the top and bottom positions.
At the top 
Energy at the bottom 
By comparing the two states using conservation of energy, we find 



Answer:
The convergence of light rays redirects them toward the focal point, resulting in a magnifying effect.
Explanation:
This can be determined using the principle of energy conservation. The ski lift begins with a velocity of v= 15.5 m/s, and all of its kinetic energy Ek converts into potential energy Ep, thus we set Ep equal to Ek.
Because Ek is given by (1/2)*m*v², where m denotes mass and v represents speed, while Ep equals m*g*h, where m is mass, g is 9.81 m/s², and h is height. Now:
Ek=Ep
(1/2)*m*v²=m*g*h, canceling out the mass,
(1/2)*v²=g*h, rearranging for height by dividing by g,
(1/2*g)*v²=h and substituting the values:
h=12.245 m. The hill's height rounded to the nearest tenth is h=12.25 m.
Materials that provide effective protection against beta particles include thin aluminum sheets, as well as low atomic mass materials like plastic, wood, water, and acrylic glass for high-energy beta-radiation. These materials can also be used in protective gear, encompassing all clothing designed to shield wearers from radiation-related harm.