You are playing with a 75 g yo-yo that has diameter 56 mm. The string is 1.2 m long. You throw the yo-yo down at 10 cm/s. When it hist the bottom of its motion you flick your wrist to make it "sleep", meaning is just spins in place. Assuming no friction, what is the angular velocity of the yo-yo in rad/s as it sleeps

answer: the potential energy decreases from 379 j to 243 j

explanation:

for the law of conservation of energy, the total energy in a system must be conserved. the total energy of the system is given by the sum of kinetic (k) and potential (u) energy:

e = k + u

the total energy is e=675 j, and this does not change.

initially, the kinetic energy is k=296 j, so the potential energy is

at the end, the kinetic energy is k=432 j, so the potential energy is

so, we see that the potential energy has decreased from 379 j to 243 j.