A lumberjack is taking down a tree a 21 m high tree by cutting it at a point 1.1 m above the ground, as shown in the figure. The mass of the tree is 4200 kg. You can approximate the tree trunk as a thin rod with uniform density. (a) Find the speed of the tree’s centre of mass when the tree trunk is parallel to the ground on its way down. Assume that the tree rotates about the point where it is cut. (b) How much kinetic energy does the tree have at that point? How fast would a 700.0 kg car have to be moving to have that kinetic energy?

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A lumberjack is taking down a tree a 21 m high tree by
cutting it at a point 1.1 m above the ground, as shown in the
figure. The mass of the tree is 4200 kg. You can approximate
the tree trunk as a thin rod with uniform density.
(a) Find the speed of the tree’s centre of mass when the tree
trunk is parallel to the ground on its way down. Assume that
the tree rotates about the point where it is cut.
(b) How much kinetic energy does the tree have at that
point? How fast would a 700.0 kg car have to be moving to
have that kinetic energy?

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