A 23.0 g ball is fired horizontally with initial speed

Paligutanhk 2021-12-16 Answered
A 23.0 g ball is fired horizontally with initial speed v0 toward a 110 g ball that is hanging motionless from a 1.00 m -long string. The balls undergo a head-on, perfectly elastic collision, after which the 110 g ball swings out to a maximum angle θmax=51.0
What was v0?
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Expert Answer

servidopolisxv
Answered 2021-12-17 Author has 27 answers
The expression of the initial speed from conservation of energy,
KE=PE
12mb1v02=mb2gh
12mb1v02=mb2gl(1cosθ)
v0=2mb2gl(1cosθ)mb1
Substitute the values,
v0=2(110 g)(9.8 ms2)(1.00 m)[1cos(51)](23g)
=5.895 ms
Answer 5.895 m/s

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