Assume you seated on a wheeled desk chair at your desk. Consider friction forces between the floor and the chair to be negligible. However, the friction forces between the floor and the desk are not negligible. When sitting at rest, you decide you need another cup of coffee. You push horizontally against the desk, and the chair rolls backward away from the desk.
(a) Draw a free body diagram of yourself during the push and clearly indicate which force was responsible for your acceleration.
(b) Compute the reaction force to the force that caused your acceleration?
(c) Draw the free body diagram of the desk and explain why it did not accelerate.