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Vesnalui
1 month ago
7

Two friends, Burt and Ernie, are standing at opposite ends of a uniform log that is floating in a lake. The log is 3.2m long and

has mass 290kg . Burt has mass 33kg and Ernie has mass 32kg, Initially the log and the two friends are at rest relative to the shore. Burt then offers Ernie a cookie, and Ernie walks to Burt's end of the log to get it,then Relative to the shore, what distance has the log moved by the time Ernie reaches Burt? Neglect any horizontal force that the water exerts on the log and assume that neither Burt nor Ernie falls off the log.
Physics
1 answer:
Softa [3K]1 month ago
8 0

Answer:

x = 0.29 m

Explanation:

It is known that the total external force acting on the mass system equals ZERO,

so the center of mass of the entire system will stay stationary.

We find that

m_1\Delta x_1 + m_2\Delta x_2 + m_3\Delta x_3 = 0

Since Ernie approaches Burt's position, we have:

33 x + 290 x + 32(-3.2 + x) = 0

355 x = 102.4

therefore, we conclude that

x = \frac{102.4}{355}

x = 0.29 m

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