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? f_n = 490 n f_f = -245 n f_t = 735 n f_g = -490 n 245 n 735 n 490 n 980 n

Explanation:

Step1: Define net - force formula

Net force $F_{net}=F_{x}+F_{y}$, where $F_{x}$ is the sum of horizontal forces and $F_{y}$ is the sum of vertical forces.

Step2: Calculate horizontal net - force

In the horizontal direction, $F_{x}=F_{t}+F_{f}$, with $F_{t} = 735\ N$ and $F_{f}=- 245\ N$. So $F_{x}=735+( - 245)=490\ N$.

Step3: Calculate vertical net - force

In the vertical direction, $F_{y}=F_{N}+F_{g}$, with $F_{N} = 490\ N$ and $F_{g}=-490\ N$. So $F_{y}=490+( - 490)=0\ N$.

Step4: Calculate total net - force

$F_{net}=\sqrt{F_{x}^{2}+F_{y}^{2}}$. Since $F_{y} = 0\ N$ and $F_{x}=490\ N$, $F_{net}=490\ N$.

Answer:

490 N