During a "Spirit Week" rally, twenty students, each exerting a force of 8000N [forward], pushed a teacher's car on level ground and accelerated it from rest to 1.5m/s [forward] in 3.0s. If the coefficient of friction was approximately 0.55 for both the static and kinetic cases, determine the mass of the teacher's car.

Given:

Required:

m = ?

Analysis:

First solve for acceleration by plugging the given values into the equation

One of the two values has now been obtained to solve for .

The value is still needed. To find this value, plug the corresponding values into the equation . To find , plug the corresponding values into the equation . The value is still needed. This value is equal to . To find this value, plug the corresponding values into the equation .

This is where the problem is. I need the mass in order to solve for the mass. Does anyone know any other way of solving this? Or was the question erroneously written to a point where it can't be solved?