While chopping down his father's cherry tree, george discovered that if he swung the axe with a speed of 25 m/s, it would embed itself 2.3 cm into the tree before coming to a stop. if the axe head had a mass of 2.5 kg, how much force was the axe exerting on the tree?

Question

Physics

Raymond Montoya

19 April, 15:33

While chopping down his father's cherry tree, george discovered that if he swung the axe with a speed of 25 m/s, it would embed itself 2.3 cm into the tree before coming to a stop. if the axe head had a mass of 2.5 kg, how much force was the axe exerting on the tree?

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Myles Simmons · Answer 1

First we must find the amount of acceleration needed using the equation Vfinal^2 = Vinitial^2 + 2*Acceleration*distance = > 0 = 25^2 + 2*Acceleration*0.025m = > Acceleration = 13,587m/s^2. Plug this into Force = Mass*Acceleration equation = > Force = 2.5*13,587 = 33,967.5N.