A boy is holding a ball with a diameter of 5.30 cm and average density of 0.0841 g/cm3 under water. Determine the force (in N) needed to hold it completely submerged.
magnitude
Here,
let the forces needed is F
radius, r = 0.053/2 m
volume of the ball = 4pi/3 * (0.053/2)^3
volume of the ball = 7.795 *10^-5 m^3
density , p = 0.0841 g/cm^3 = 84.1 Kg/m^3
Now balancing the forces in the vertical direction
- m * g + Buoyant force + F = 0
- 84.1 * 7.795 *10^-5 * 9.8 + 1000 * 7.795 *10^-5 * 9.8 + F = 0
solving for F
F = - 0.699 N
the force needed to be applied is 0.699 N in the downwards direction
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