calculate the accleration of a body of mass 5 kg when a force 15 newton acts on it
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The 10*cm doesn’t make sense. a 15*N force on a 5*kg body is an acceleration of a=F/m=15*N/(5*kg)=3*m/s^2, for 5*s, meaning that the body went from speed vi to vf=vi+a*t=vi+3*m*5*s/s^2=vi+15*m/s. The momentum change is m*vf-m*vi=
5*kg*(vi+15*m/s)-5*kg*vi=75*kg*m/s, and the rate of change of momentum is
delta-p/time=75*kg*m/s/(5*s)=15*kg*m/s^2=15*N, the same as the force applied.
Indeed, for a fixed mass, delta-p/time=Force.
The reason the 10*cm is senseless is that a body moving from rest at acceleration 3*m/s^2 for 5*s covers s=a*t^2/2=3*m/s^2*(5*s)^2/2=37.5*m. Only off by a factor of 375, maybe an astrophysics class
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