Answer:
<em>The tension in the string = 2.065 N</em>
Explanation:
From Archimedes principle,
R.d = density of the wood block/density of water = weight of the wood block/Upthrust of the wood block in water.
R.d = D₁/D₂ = W/U
W/U =D₁/D₂.................................. Equation 1
Where W = weight of the wood block, U = upthrust of the wood block in water, D₁ = Density of the wood block, D₂ = Density of water.
Making U the subject of the equation,
U = WD₂/D₁........................... Equation 2
Given: W = mg = (689/1000)9.8 = 6.75 N, D₁ = 694 kg/m³, D₂ = 1000 kg/m³.
Substituting these values into equation 2,
U = 6.75(694)/1000
U = 4684.5/1000
U = 4.685 N.
Note: Three forces act on the wood block in the pool. and they are
(i) The weight(W) acting downs
(ii) The upthrust (U) acting upwards,
(iii) The Tension (T) in the string, acting upwards.
Thus,
W = U+T
T = W - U ................................. Equation 3
Where W = 6.75 N, U = 4.685 N
T = 6.75 - 4.685
T = 2.065 N.
T = 2.065 N
<em>Thus the tension in the string = 2.065 N</em>
