Net Force of Wagon: Solving for f = ma

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SUMMARY

The net force acting on a wagon with a weight of 300 N, accelerated at 0.5 m/s², is calculated using Newton's second law, F = ma. To find the net force, the weight must first be converted into mass using the gravitational constant g = 9.81 m/s². The mass is determined by the formula m = weight/g, resulting in a mass of approximately 30.6 kg. Consequently, the net force is calculated as F = 30.6 kg * 0.5 m/s², yielding a net force of 15 N.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Knowledge of gravitational force (g = 9.81 m/s²)
  • Ability to convert weight to mass
  • Basic algebra skills for solving equations
NEXT STEPS
  • Learn how to convert weight to mass using the formula m = weight/g
  • Explore additional applications of Newton's second law in different contexts
  • Study the effects of varying acceleration on net force calculations
  • Investigate real-world examples of force and motion in physics
USEFUL FOR

Students studying physics, particularly those learning about forces and motion, as well as educators seeking to explain the concepts of mass, weight, and acceleration.

Makaroon
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Homework Statement


A wagon with a weight of 300 N is accelerated across a level surface at .5 m/s2. What net force acts on the wagon? (g=9.81 m/s2)

Homework Equations



f=ma

The Attempt at a Solution



well the answer is 15 N, but I don't know how to get there. I need a little guide, because I have no clue on what to do.
do I have to convert the 300 N into something else? eek please help me out, I'm really really lost.
 
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300N is a force (or the weight of the truck) In order to use F=ma, you need to convert the weight into a mass
 
Okay, first of all, I would say that if it isn't already obvious, then you should start with Newton's second law. The net force acting on an object is equal to its mass times its acceleration. Why? Well, you have the object's acceleration, and, althought you may not know it, you have the object's mass (implicitly). You are asked for the net force.

Summary:

F = ma

Already given:

a = 0.5 m/s^2

m = ___________

So you can see that you have all the information required to solve the problem, provided you can determine the object's mass, which should be trivial.
 
wow I'm sorry I feel so not all here... but you find mass how?
I mean how do I convert the weight into mass?
eek, I'm sorry I'm really trying right now, but I can't get it. wow.
 
never mind! I got it! yay. haha so sorry and thank y'all soo much.
 
Obviously you need to know the relationship between an object's weight, and its mass. In other words, given an object of a certain mass, (on earth), then with how much force does gravity pull down on it? This is what is represented by the quantity g.

Intuitively you know that weight and mass are related. In a *given* gravitational field, the more massive an object, the heavier it is. You also know HOW they are related.
 
mhm. yeah I remember now, sorry. I don't have it in my notes... for some reason, but gosh I feel much better, because I understand it. thanks a bunch.
 

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