A model train, with a mass of #12 kg#, is moving on a circular track with a radius of #3 m#. If the train's kinetic energy changes from #12 j# to #48 j#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-10-12T08:53:23

The change in the centripetal force is #=24N#

The centripetal force is

#F=(mv^2)/r#

The kinetic energy is

#KE=1/2mv^2#

The variation of kinetic energy is

#Delta KE=1/2mv^2-1/2m u^2#

#=1/2m(v^2-u^2)#

The mass is #m=12kg#

The radius of the track is #r=3m#

The variation of centripetal force is

#DeltaF=m/r(v^2-u^2)#

#DeltaF=2m/r1/2(v^2-u^2)#

#=(2)/r*1/2m(v^2-u^2)#

#=(2)/r*Delta KE#

#=2/3*(48-12)N#

#=24N#