Question

john pushes hector on a plastic toboggan. the free - body diagram is shown.
what is the net force acting on hector and the toboggan?
980 n
490 n
735 n
245 n

Explanation:

Step1: Analyze vertical forces

Vertical forces: \( F_N = 490\ N \) (upward) and \( F_g=- 490\ N \) (downward, negative as opposite to upward). Net vertical force: \( F_{net,y}=490+( - 490)=0\ N \)

Step2: Analyze horizontal forces

Horizontal forces: \( F_t = 735\ N \) (right, positive) and \( F_f=-245\ N \) (left, negative). Net horizontal force: \( F_{net,x}=735+( - 245)=490\ N \)

Step3: Total net force

Since vertical net force is 0, total net force is equal to horizontal net force, \( F_{net}=490\ N \)

Answer:

490 N