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PHY 201
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A ball of mass 400 grams is immersed in water. The ball is suspended in the water by a rubber band chain which exerts a tension force of 2.5 Newtons on the ball.
• What is the weight of the ball?
answer/question/discussion: ->->->->->->->->->->->-> :
weight of ball is .4 kg * 9.8 m/s^2 = 3.92 N
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• What is the buoyant force on the ball?
answer/question/discussion: ->->->->->->->->->->->-> :
net_force = Fb + Ft - mg = 0, Fb = mg - Ft = 3.92 N - 2.5 N = 1.42 N
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• What therefore must be its volume?
answer/question/discussion: ->->->->->->->->->->->-> :
Fb = specific weight of the fluid x displaced volume of fluid.
What is known if Fb = 1.42 N, and specific weight of water is 9.81 kN/m^3, therefore, Volume displaced = .00142 kN / 9.81 kN/m^3 = 144.8e-4 m^3
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Right calculation but there was an error in your execution.
.00142 kN / (9.81 kN / m^3) =
(.00142 kN / 9.81 kN) * m^3 =
.000145 m^3, or
1.45 * 10^-4 m^3,
not 144.8 e-4 m^3 (which would be 145 * 10^4 m^3).
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• What is its density?
answer/question/discussion: ->->->->->->->->->->->-> :
specific weight = density * gravity, density = 9,810 kg*m/s^2 / (9.8 m/s^2) = 1001 kg
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This calculation isn't related to the specifics of this problem. You appear to have calculated something closely related to the density of water, which is 1000 kg / m^3.
What is the definition of density?
How is it applied to find the density of this object, the mass and volume of which you have just found.
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