The Dynamics of Connected Boxes: Acceleration, Force, and Tension

Calculating the Applied Upward Force

To find the applied upward force, we need to consider the forces acting on the system. In this case, the upward force is the sum of the tension in the rope and the weight of the box. Let's calculate it step by step:

1. Tension in the rope (T): The tension in the rope can be calculated using the equation T - W = ma, where T is the tension, W is the weight of the box, m is the mass of the box, and a is the acceleration of the box.

2. Weight of the box (W): The weight of the box can be calculated as W = mg, where m is the mass of the box and g is the acceleration due to gravity (approx. 9.8 m/s²).

3. Once we have the tension in the rope (T) and the weight of the box (W), we can find the applied upward force (F) by summing them up: F = T + W.

Therefore, the applied upward force on block A is F = 35.4 N + (5 x 9.8) = 84.4 N.