Full Force Alice
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maths mechanics- please answerr?
Alice and betty stand facing each other on an icy playground, raise their forearms and place the palms of their hands against each other. They have a mass 25kg and 35kg respectively, and the coefficients of friction between their shoes and the ground are 0.2 and 0.15. They push against each other with a steadily increasing force. How is equilibrium broken?
I think the answer is that alice starts to slide back when force is 49N, but dunno how get it. Full working would help ty
Assume that g = 9.8m/s^2
The reaction of the ground on Alice is: 25*9.8 = 245N
The reaction of the ground on Betty is: 35*9.8 = 343N
In order for any of them to start moving, the force must overcome the friction force which is equal to:
F(friction) = R(reaction of the ground) * M(friction coefficient)
F(Alice) = 245 * 0.2 = 49N
F(Betty) = 343*0.15 = 51.45N
So the equilibrium is broken when the force reaches the minimum of the two forces which is 49N.
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