Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N, the second a force of 90.0 N, friction is 12.0 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (b) Draw a free-body diagram, including all forces acting on the system. (c) Calculate the acceleration. (d) What would the acceleration be if friction were 15.0 N?

Solution to 9PE

Step 1 of 4</p>

In this question, we need to state a system of interest for calculating the acceleration of a child on a wagon if there are two opposite forces acting on it.

Step 2 of 4</p>

Given data:

is the first force which is equal to 75N

is the second force which is equal to 90N

is the mass of the third child and the wagon which is equal to 23kg

is the frictional force which is equal to 12N

(a)

The system of chonce will be a body on wheels which is acted upon by two unequal and opposite forces.

The frame of reference of choice will be a non-accelerating frame of reference.

(b)Free body diagram,