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A solid sphere of density d is released from rest in a liquid whose density is d/4. Ignoring viscous drag, what is the initial acceleration of the sphere?
- g/4
- 3g/4
- g/2
- g
Correct answer: 3g/4
Solution
The sphere sinks because it is denser than the liquid. Net force = (rho_body - rho_liquid)*V*g, and dividing by mass rho_body*V gives the acceleration.
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