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TiliK225 [7]
3 years ago
13

A 56 kg boat that is 7.6 m in length is initially 7.6 m from the pier. A 39 kg child stands at the end of the boat closest to th

e pier. The child then notices a turtle on a rock at the far end of the boat and proceeds to walk to the far end of the boat to observe the turtle. 7.6 m 7.6 m How far is the child from the pier when she reaches the far end of the boat?

Physics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

Explanation:

Given

mass of boat M=56\ kg

mass of Person m=39\ kg

Length of boat L=7.6\ m

Center of mass of boat and child

x_{cm}=\frac{M\times 0.5L+m\times L}{M+m}

x_{cm}=\frac{56\times 0.5\times 7.6+39\times 7.6}{56+39}

x_{cm}=\frac{509.2}{95}

x_{cm}=5.36---1

when child reaches another end of boat, boat is shifted by x cm

Center of mass of the system will remain the same

x'_{cm}=\frac{M\times (x+0.5L)+m\times x}{M+m}

x'_{cm}=\frac{56\times (x+0.5\times 7.6)+39\times x}{56+39}----2      

Equating 1 and 2 we get

509.2=95x+212.8

x=3.12\ m  

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