Question

8. A barge floating in fresh water is shaped like a hollow rectangular box with base area $A = 600 \, m^2$ and height $H = 2.00 \, m$. When empty the bottom of the barge is located $H_0 = 0.50 \, m$ below the surface of the water. When fully loaded with coal, the bottom is located $H_1 = 1.45 \, m$ below the surface. What is the mass of the (a) barge and (b) coal when fully loaded? [Answer: (a) $3.0 \times 10^5 \, kg$; (b) $5.7 \times 10^5 \, kg$].

Name: 8 a barge floating in fresh water is shaped like a hollow rectangular box with base area a 600 m2 and height h 200 m when empty the bottom of the barge is located h0 050 m below the surface 31036
Uploaded: 2022-07-09T03:43:00-08:00
Duration: 1 min 53 s
Channel: Penny Riley
Description: 8 a barge floating in fresh water is shaped like a hollow rectangular box with base area a 600 m2 and height h 200 m when empty the bottom of the barge is located h0 050 m below the surface 31036

          8. A barge floating in fresh water is shaped like a hollow rectangular box with base area $A = 600 \, m^2$ and height $H = 2.00 \, m$. When empty the bottom of the barge is located $H_0 = 0.50 \, m$ below the surface of the water. When fully loaded with coal, the bottom is located $H_1 = 1.45 \, m$ below the surface. What is the mass of the (a) barge and (b) coal when fully loaded? [Answer: (a) $3.0 \times 10^5 \, kg$; (b) $5.7 \times 10^5 \, kg$].

8 a barge floating in fresh water is shaped like a hollow rectangular box with base area a 600 m2 and height h 200 m when empty the bottom of the barge is located h0 050 m below the surface 31036

Added by Mireia W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

07/09/2022

Step 1

The buoyant force on the barge when empty is equal to the weight of the barge. $F_{B0} = \rho g V_0 = m_b g$, where $V_0$ is the volume of water displaced when the barge is empty, and $m_b$ is the mass of the barge. $V_0 = A H_0 = 600 \, m^2 \times 0.50 \, m = 300 Show more…

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8. A barge floating in fresh water is shaped like a hollow rectangular box with base area $A = 600 \, m^2$ and height $H = 2.00 \, m$. When empty the bottom of the barge is located $H_0 = 0.50 \, m$ below the surface of the water. When fully loaded with coal, the bottom is located $H_1 = 1.45 \, m$ below the surface. What is the mass of the (a) barge and (b) coal when fully loaded? [Answer: (a) $3.0 \times 10^5 \, kg$; (b) $5.7 \times 10^5 \, kg$].