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Problems Why answer matched but, unit?

Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water. How much the wood was submer...

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

#5: Post edited by (deleted user) · 2021-08-16T06:29:57Z (over 2 years ago)
  • >Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water. How much the wood was submerged in water
  • I was trying to solve the problem following way.
  • $$F=Ah\rho g$$
  • $$=V\rho g$$
  • $$=V \ m^3 \cdot 970 \ kgm^{-3} \cdot 9.8 ms^{-2}$$
  • $$=9506V \ N$$
  • $$W=mg$$
  • $$=20_{\times 10^3} \ kg \times 9.8 \ ms^{-2}$$
  • $$=196000 \ N$$
  • $$W=F$$
  • $$9506V \ N=196000 \ N$$
  • $$V=20.6185 \ m^3$$
  • I think that I didn't do any mistake while solving that problem. Even, I didn't do any mistake of Units. But, I was wondering why my book wrote that $V=20.62 \ cc$. Both answer matched. But, I was thinking of Units. I am just showing a line what they did than, you will understand what they actually did.
  • $$19620 \ dyne = 951.57 V \ dyne$$
  • $$V=20.62 \ cm^3=20.62 \ cc$$
  • >Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water. How much the wood was submerged in water?
  • I was trying to solve the problem following way.
  • $$F=Ah\rho g$$
  • $$=V\rho g$$
  • $$=V \ m^3 \cdot 970 \ kgm^{-3} \cdot 9.8 ms^{-2}$$
  • $$=9506V \ N$$
  • $$W=mg$$
  • $$=20_{\times 10^3} \ kg \times 9.8 \ ms^{-2}$$
  • $$=196000 \ N$$
  • $$W=F$$
  • $$9506V \ N=196000 \ N$$
  • $$V=20.6185 \ m^3$$
  • I think that I didn't do any mistake while solving that problem. Even, I didn't do any mistake of Units. But, I was wondering why my book wrote that $V=20.62 \ cc$. Both answer matched. But, I was thinking of Units. I am just showing a line what they did than, you will understand what they actually did.
  • $$19620 \ dyne = 951.57 V \ dyne$$
  • $$V=20.62 \ cm^3=20.62 \ cc$$
#4: Post edited by (deleted user) · 2021-08-16T06:27:58Z (over 2 years ago)
  • >Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water.
  • I was trying to solve the problem following way.
  • $$F=Ah\rho g$$
  • $$=V\rho g$$
  • $$=V \ m^3 \cdot 970 \ kgm^{-3} \cdot 9.8 ms^{-2}$$
  • $$=9506V \ N$$
  • $$W=mg$$
  • $$=20_{\times 10^3} \ kg \times 9.8 \ ms^{-2}$$
  • $$=196000 \ N$$
  • $$W=F$$
  • $$9506V \ N=196000 \ N$$
  • $$V=20.6185 \ m^3$$
  • I think that I didn't do any mistake while solving that problem. Even, I didn't do any mistake of Units. But, I was wondering why my book wrote that $V=20.62 \ cc$. Both answer matched. But, I was thinking of Units. I am just showing a line what they did than, you will understand what they actually did.
  • $$19620 \ dyne = 951.57 V \ dyne$$
  • $$V=20.62 \ cm^3=20.62 \ cc$$
  • >Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water. How much the wood was submerged in water
  • I was trying to solve the problem following way.
  • $$F=Ah\rho g$$
  • $$=V\rho g$$
  • $$=V \ m^3 \cdot 970 \ kgm^{-3} \cdot 9.8 ms^{-2}$$
  • $$=9506V \ N$$
  • $$W=mg$$
  • $$=20_{\times 10^3} \ kg \times 9.8 \ ms^{-2}$$
  • $$=196000 \ N$$
  • $$W=F$$
  • $$9506V \ N=196000 \ N$$
  • $$V=20.6185 \ m^3$$
  • I think that I didn't do any mistake while solving that problem. Even, I didn't do any mistake of Units. But, I was wondering why my book wrote that $V=20.62 \ cc$. Both answer matched. But, I was thinking of Units. I am just showing a line what they did than, you will understand what they actually did.
  • $$19620 \ dyne = 951.57 V \ dyne$$
  • $$V=20.62 \ cm^3=20.62 \ cc$$
#3: Post edited by (deleted user) · 2021-08-16T06:25:20Z (over 2 years ago)
  • >Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water.
  • I was trying to solve the problem following way.
  • $$F=Ah\rho g$$
  • $$=V\rho g$$
  • $$=V \cdot 970 \cdot 9.8$$
  • $$=9506V \ N$$
  • $$W=mg$$
  • $$=20_{\times 10^3}\times 9.8$$
  • $$=196000 \ N$$
  • $$W=F$$
  • $$9506V=196000$$
  • $$V=20.6185 \ m^3$$
  • I think that I didn't do any mistake while solving that problem. Even, I didn't do any mistake of Units. But, I was wondering why my book wrote that $V=20.62 \ cc$. Both answer matched. But, I was thinking of Units. I am just showing a line what they did than, you will understand what they actually did.
  • $$19620 \ dyne = 951.57 V \ dyne$$
  • $$V=20.62 \ cm^3=20.62 \ cc$$
  • >Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water.
  • I was trying to solve the problem following way.
  • $$F=Ah\rho g$$
  • $$=V\rho g$$
  • $$=V \ m^3 \cdot 970 \ kgm^{-3} \cdot 9.8 ms^{-2}$$
  • $$=9506V \ N$$
  • $$W=mg$$
  • $$=20_{\times 10^3} \ kg \times 9.8 \ ms^{-2}$$
  • $$=196000 \ N$$
  • $$W=F$$
  • $$9506V \ N=196000 \ N$$
  • $$V=20.6185 \ m^3$$
  • I think that I didn't do any mistake while solving that problem. Even, I didn't do any mistake of Units. But, I was wondering why my book wrote that $V=20.62 \ cc$. Both answer matched. But, I was thinking of Units. I am just showing a line what they did than, you will understand what they actually did.
  • $$19620 \ dyne = 951.57 V \ dyne$$
  • $$V=20.62 \ cm^3=20.62 \ cc$$
#2: Post edited by (deleted user) · 2021-08-15T15:27:34Z (over 2 years ago)
#1: Initial revision by (deleted user) · 2021-08-15T15:27:08Z (over 2 years ago)
Why answer matched but, unit?
>Mass of a timber is $20 \ g$. And, density of that timber is $0.27 \ g/cc$. That timber was bind to a metallic materials and, it was released to $0.970 \ g/cc$ water.

I was trying to solve the problem following way.

$$F=Ah\rho g$$
$$=V\rho g$$
$$=V \cdot 970 \cdot 9.8$$
$$=9506V \ N$$
$$W=mg$$
$$=20_{\times 10^3}\times 9.8$$
$$=196000 \ N$$
$$W=F$$
$$9506V=196000$$
$$V=20.6185 \ m^3$$

I think that I didn't do any mistake while solving that problem. Even, I didn't do any mistake of Units. But, I was wondering why my book wrote that $V=20.62 \ cc$. Both answer matched. But, I was thinking of Units. I am just showing a line what they did than, you will understand what they actually did.

$$19620 \ dyne = 951.57 V \ dyne$$
$$V=20.62 \ cm^3=20.62 \ cc$$