imagine an Imagine an Atwoods machine on the surface of the

Imagine an Atwood\'s machine on the surface of the moon, which has 1/6 of earth\'s gravity. Using equation for acceleration, what is acceleration when n =1kg and M_=2kg. ignore Inchon, (g^_earth = 9.8m/s) (answer in 3sig.)

Solution

equations for two masses =

T-m₁g=m₁a

m₂g-T=m₂a

adding these two equations

(m₂-m₁)g=(m₁+m₂)a

a= (m₂-m₁)g/(m₁+m₂)

here g= (9.8/6), m1= 1kg ,m2=2 kg

putting all these values

a =(2-1)9.8/6(1+2)= 49/90 m/sec²=0.544m/sec²