A ball of mass 5 kg, having density 5000 kg/m3 is completely immersed in water. The buoyant force acting on it is 10x (Newton), find x.
A ball of mass 5 kg, having density 5000 kg/m3 is completely immersed in water. The buoyant force acting on it is 10x (Newton), find x. (Take g = 10m/s2. Density of water= 1000 kg/m3)
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Mass of the ball = 5 kg
density of the ball = 5000 kg/m3
Volume of ball = Mass/density
= 5/5000
= 1/1000 m3
The buoyant force is given by FB = V × D × g (V is volume of submerged body, d is density of fluid, g is force of gravity)
FB = 1/1000 × 1000 × 10 = 10N --- (1)
Now FB = 10x(given) --- (2)
Equating (1) and (2) we get,
10x = 10, x = 1
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