# Minimum Force to Make an Object Move

• uchicago2012
In summary, to determine the minimum force necessary to make a 6 kg object slide on a horizontal surface with a coefficient of friction of 0.8, one can use the equation Fsmax = u * Fn, where Fsmax is the force that must be overcome to make an object move, u is the coefficient of friction, and Fn is the normal force. By assuming that the acceleration in the vertical direction is zero, one can calculate the normal force to be 58.8 N. Using this value, the minimum force needed to make the object slide is any force greater than 47.088 N, as this is the force of friction that must be overcome.
uchicago2012

## Homework Statement

A 6 kg object sits on a horizontal surface with coefficient of friction = .8. What is the minimum force (not necessarily horizontal) necessary to make the object slide?

## Homework Equations

Fsmax = u * Fn
where Fsmax is the force that must be overcome to make an object move, u is the coefficient of friction, and Fn is the normal force.

## The Attempt at a Solution

I was just wondering if this seemed correct:
Fg = -58.8 N (mass * g) so
Fn = 58.8 N
I'm not clear on when exactly one can make the assumption that Fg = Fn
but then using that value of Fn I calculated Fsmax, so the minimum force necessary to make the block move is any force greater than Fsmax.

You need to overcome the force of friction.

The force of friction is
Ff=(coefficent of friction)(weight of object in Newtons)
Ff=(.8)(6*9.81)
Ff=(.8)(58.86)
Ff=47.088N

I think :D

uchicago2012 said:
I'm not clear on when exactly one can make the assumption that Fg = Fn

One can always make the assumption that, if the acceleration in some coordinate direction is zero, then by Newton's second law, the sum of all forces acting along that direction must be zero.

This condition for static equilibrium is the foundation for all introductory statics problems.

## What is the concept of "Minimum Force to Make an Object Move"?

The minimum force to make an object move refers to the amount of force that must be applied to an object in order to overcome its inertia and initiate motion.

## How is the minimum force to make an object move determined?

The minimum force required to make an object move is dependent on several factors, including the mass of the object, the surface it is on, and the presence of any external forces acting on it.

## What is the relationship between force and acceleration in regards to minimum force?

According to Newton's second law of motion, force is directly proportional to acceleration. This means that the minimum force required to make an object move will increase as the desired acceleration of the object increases.

## Can the minimum force to make an object move be greater than the force of gravity?

Yes, the minimum force required to make an object move can be greater than the force of gravity. This is because the force of gravity only acts on an object when it is at rest, and additional force is needed to overcome the object's inertia and initiate motion.

## How does friction affect the minimum force needed to make an object move?

Friction is a force that opposes motion, so it can increase the minimum force required to make an object move. The type and amount of friction present will determine how much additional force is needed to overcome it and move the object.

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