The figure shows 3 crates being pushed over a concrete floor by a horizontal force f of magnitude 440N. The masses of the cratesare m1=30 kg, m2=10 kg, and m3=20 kg.The coefficient of kineticfriction between the floor and each of the crates is 0.7. a) what is the magnitude F32 of the force on crate 3 from crate 2? b) If the crates then slide onto a polished floor, where the coefficientof kinetic friction is less than 0.700, is magnitude F32 more than,less than, or the same as it was when the coeffient was 0.700?

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estenutC · Accepted Answer

m1  F pushing right  friction pushing left  m2:  m1 pushing right  m3 pushing left  friction pushing left  m3:  m2 pushing right  friction pushing left  a) F=ma  first we have to find the net acceleration of the system.  Fa−Ff=(m1+m2+m3)a  Fa−μ(m1+m2+m3)g=(m1+m2+m3)a  a=Fa−μ(m1+m2+m3)m1+m2+m3  After you find the acceleration, multiply it by m3 and that wikk be the answer  b) F32 will be higher before.  In our equation, a smaller μ will result in a large numerator, and a larger acceleration. Since F=ma, a high acceleration will also increase the force.

The figure shows 3 crates being pushed over a concrete floor by a horizontal force f of magnitude 440N.

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