Question #d8cc8

1 Answer
Morgan
Nov 12, 2017

Force increases by a factor of 15.

Explanation:

Newton's second law states (roughly), that the acceleration experienced by an object is directly proportional to, and in the same direction as, the net force exerted on that object.

We are familiar with this as the equation: #color(blue)(vecF=mveca)#.

If we assume that we're dealing with one object which has its mass tripled and its acceleration increased by a factor of five, we have:

  • Initially:

#F=ma#

#=>F_"initial"=F#

  • Finally:

#F=ma#

#=>F=3m*5a#

#=>F=15ma#

#=>F_"final"=15F#

#:.# The force increases by a factor of 15.

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