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A horizontal force of 50 N is required to push a wagon across a sidewalk at a constant speed.

a. What is the net (unbalanced) force acting on the wagon?

b. What forces are acting on the wagon?

c. If the mass on the box increased, use Newton's law to explain what must change to get the object moving at constant speed.

Respuesta :

A) The net unbalanced force acting on the wagon is; F_net = 50 N

B) The forces acting on the wagon are;

Applied Force = 50 N

Frictional Force = 50 N

C) What will happen if mass is increase is that;

frictional force will increase.

Formula for force is;

Force = mass x acceleration

F = ma

A) We are told that the speed is constant and at constant speed, acceleration is zero. Thus; F_net = 0 N

B) We are told that the force required to push the wagon at constant speed is 50 N.

Now, from newtons third law of motion, it states that to every action, there is an equal and opposite reaction.

Thus, there will be an equal opposite reaction which will be the frictional force. Thus; F_f = 50 N

C) Frictional force has the formula;

F_f = μmg

So if the mass is increased, the frictional force will also increase.

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(a) The net force acting on the wagon is zero (0).

(b) The forces acting on the wagon are, the applied horizontal force on the wagon and frictional force between the wagon and the sidewalk.

(c) As the mass increases, the applied force should increase by equal amount to keep the moving at constant speed.

The given parameters;

  • the horizontal force applied on the wagon, F = 50 N

The net horizontal force acting on the wagon is given as;

[tex]\Sigma F_x = 0\\\\F - F_k = ma[/tex]

where;

  • Fk is the frictional force between the wagon and the sidewalk
  • m is the mass of the wagon
  • a is the acceleration of the wagon

At constant speed, the acceleration of the wagon = 0

[tex]F - F_k = m(0)\\\\F- F_k = 0\\\\[/tex]

Thus, the net force acting on the wagon is zero (0).

(b) The forces acting on the wagon are;

  • the applied horizontal force on the wagon
  • frictional force between the wagon and the sidewalk

(c) The Newton's second law of motion is given as;

F = ma

[tex]F = \frac{m(\Delta v)}{t} \\\\\Delta v =\frac{Ft}{m} \\\\\frac{F_1}{m_1} = \frac{2F_1}{2m_1}[/tex]

Thus, as the mass increases, the applied force should increase by equal amount to keep the moving at constant speed.

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