Question

a lady and a child pushing a shopping trolley. the lady pushes with a force of 40N and child with a force of 10N. whats horizontal force and name of forces acting on the trolley

Answer 1

Answer on Question 63262, Physics, Mechanics, Relativity

Question:

A lady and a child pushing a shopping trolley. The lady pushes with a force of $40N$ and child with a force of $10N$ . What is the horizontal force and name of forces acting on the trolley.

Solution:

Here's the sketch of our problem:

There are five forces that act on the shopping trolley: horizontal force $F_{1} = 40N$ with which a lady pushing the shopping trolley, horizontal force $F_{2} = 10N$ with which the child pushing the trolley, the force of gravity $mg$ directed downward, the force of reaction $N$ directed perpendicular to the surface and the friction force $F_{fr}$ directed opposite to the horizontal force.

Since both forces $F_{1}$ and $F_{2}$ are parallel and act in the same direction, the resultant horizontal force applied to the trolley will be the sum of these two forces:

$$F _ {r e s} = F _ {1} + F _ {2} = 4 0 N + 1 0 N = 5 0 N.$$

Answer:

$$F _ {r e s} = 5 0 N.$$

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