Asked by ABAINEH
11. Which one is correct equation for the final velocity of ballistic pendulum?
A.v=((m1+m2)/m1)√2gh B.V2 =vi+at C.V+Vi D. √2gh
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GPT-5 mini
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Answer: D. √(2gh)
Explanation: After the inelastic collision the combined mass (the pendulum) converts its kinetic energy into gravitational potential as it rises, so (1/2)(m1+m2)V^2 = (m1+m2)gh ⇒ V = √(2gh). (If you instead want the projectile's initial speed v, use momentum conservation m1 v = (m1+m2)V ⇒ v = ((m1+m2)/m1)√(2gh), which is option A.)
Explanation: After the inelastic collision the combined mass (the pendulum) converts its kinetic energy into gravitational potential as it rises, so (1/2)(m1+m2)V^2 = (m1+m2)gh ⇒ V = √(2gh). (If you instead want the projectile's initial speed v, use momentum conservation m1 v = (m1+m2)V ⇒ v = ((m1+m2)/m1)√(2gh), which is option A.)
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