Question

1. A leftward force is used to pull a large wagon. In the wagon there is an unknown mass

that makes it very difficult to move, but a force applied is able to set the wagon into
constant motion. Let the force applied to the wagon and its unknown mass be 77.3 N. The
coefficient of friction between the wagon's wheels and the floor is 0.011. Determine the
mass of the wagon if it was empty.
i. Let's say that the unknown mass in the wagon is 95.5% * mass of the
wagon. What is the weight of the wagon when its empty and what is the
weight of the unknown mass?

Answer 1

Wagon weight 366.41314(9.81) = 3,594.5129 = 3590 N

Load weight 349.9245(9.81) = 3,432.75982 = 3430 N

Step-by-step explanation:

Let's assume the surface and the applied force are horizontal.

At constant motion, the friction force must balance the applied force

(from F = ma)

Ff = 77.3

μΝ = 77.3

μmg = 77.3

m = 77.3 / (0.011(9.81))

m = 716.3376... kg

Let M be the mass of the wagon

M + 0.955M = 716.3376

M(1.955) = 716.3376

M = 366.41314...kg

0.955 M = 349.9245... kg

round to the three significant digits of the question numerals.