Question

n O y 135. A solid sphere of mass 4 kg and density p = 600 kg/m3 is held stationary relative to a tank filled with water. The tank is accelerated upward with acceleration 2 m/s2. The tension in the thread connected between the sphere and the bottom of the tank is. f e a = 2 m/s? Won sasnilo to alisieb TOCH woled su eldian nel bns SM ob bns no (1) 16 N (3) 24 N en brie blup (2) 26 N (4) 32 N 3

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Answer 1

Explanation:

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Answer 2

Answer:

4) 32$N$

Tension on the wire is 32N.

Explanation:

Effective gravity of the system moving upward with acceleration 2$m/s^2$ is, $g_{eff}=10+2=12m/s^2$

Volume occupied by the sphere= $\frac{mass}{density}=\frac{4}{600}=\frac{1}{150}m^3$

Buoyant force on the sphere= $\rho.g_{eff}.V$$= 1000*12*\frac{1}{150} = 80N$

where, $\rho$ = density of water

$V$= volume of water displaced by sphere

Force due to gravity on sphere = $m*g_{eff}=4*12=48N$

Tension on the wire= Upward force(Buoyant force) - downward force(gravitational)

T=80-48=32N

Tension on the wire is 32N.

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