Answer:maximum speed of the object =7.0 m/s
Explanation:
The total energy of the system is, given as
E = 1/2mω²A ²
but ωA= [tex]\sqrt{2E/m[/tex]------ equation 1
Also. Linear speed is given as
v = ωA …… equation 2
From equation 1 and 2 ,
v=[tex]\sqrt2E/m[/tex]
Total energy = 6.46J
mass = 261g to kg becomes 261/1000= 0.261kg
v=[tex]\sqrt2E/m[/tex]
v= [tex]\sqrt2 x 6.46/0.261\\[/tex]
v=[tex]\sqrt 12.92J/0.261Kg[/tex]
v=[tex]\sqrt 49.50[/tex]
v=7.0 m/s
