Question

calculating net force
using the free - body diagram, calculate the net force acting on the sled. is the sled in a state of dynamic equilibrium?
$f_f=-225n$
$f_n = 50n$
$f_t = 225n$
$f_g=-50n$

Explanation:

Step1: Calculate net force in vertical direction

For vertical forces, \( F_N = 50\ N \) (upward) and \( F_g = - 50\ N \) (downward, negative as direction is opposite to upward). Net vertical force \( F_{net,y}=F_N + F_g=50+(-50)=0\ N\).

Step2: Calculate net force in horizontal direction

Horizontal forces: \( F_f=-225\ N \) (leftward, negative) and \( F_t = 225\ N \) (rightward, positive). Net horizontal force \( F_{net,x}=F_t+F_f = 225+(-225)=0\ N\).

Step3: Calculate total net force

Total net force \( F_{net}=\sqrt{F_{net,x}^2 + F_{net,y}^2}=\sqrt{0^2 + 0^2}=0\ N\).

Step4: Determine dynamic equilibrium

Dynamic equilibrium occurs when net force is zero and the object is moving at constant velocity. Since net force is \( 0\ N \), if the sled is moving, it is in dynamic equilibrium.

Answer:

The net force acting on the sled is \( 0\ N \). The sled is in a state of dynamic equilibrium (assuming it is moving at a constant velocity) because the net force is zero.