Ayo-yo can be thought of as a solid cylinder of mass m and radius r that has a light string wrapped around its circumference (see below). one end of the string is held fixed in space. if the cylinder falls as the string unwinds without slipping, what is the acceleration of the cylinder? (enter the magnitude. use the following as necessary: g, m, and r.)

6.5 m/s^2

Explanation:

The net force acting on the yo-yo is

F_net = mg-T

ma=mg-T

now T= mg-ma

net torque acting on the yo-yo is

τ_net = Iα

I= moment of inertia (= 0.5 mr^2 )

α = angular acceleration

τ_net = 0.5mr^2(a/r)

Tr= 0.5mr^2(a/r)

(mg-ma)r=0.5mr^2(a/r)

a(1/2+1)=g

a= 2g/3

a= 2×9.8/3 = 6.5 m/s^2

the answer is b i think

5 w for 1hr = 5x60x60 joules=300x60=3000x6=18,000j as total energy conversion. efficiency of bulb needed for radiant to thermal within 18000