guys plzzz solve it
ans is 6vo/7
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Hello dear friend ,
# Answer- 14.28%
# Explanation-
Initially, Consider v and ω be the linear and angular velocity of centre of mass of sphere.
During rolling, consider v' and ω' be the linear and angular velocity of centre of mass of sphere.
Now,
v' = v - at
v' = v - Ft/m ...(1)
Also,
τ = Iα
F.r = 2/5 mr^2.α
α = 5/2 F/mr
Now
ω' = ω + αt
v'/r = v/2r + 5/2 Ft/mr ...(2)
Solving (1) and (2)
v' = 6/7 v
Now (v-v')/v = (v-6v/7)/v
(v-v')/v = 1/7 = 14.28%
Hence percentage change in translational velocity is 14.28%.
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