an object pulled to the right by two forces has an acceleration of 2.5 m/s². the free - body diagram shows…
an object pulled to the right by two forces has an acceleration of 2.5 m/s². the free - body diagram shows the forces acting on the object. what is the weight of the object? 50 n 98 n 313 n 490 n f_n f_1 = 50 n f_2 = 75 n f_g
Answer
Explanation:
Step1: Calculate the net - force in the x - direction
The net - force in the x - direction $F_{net,x}=F_1 + F_2$. Given $F_1 = 50\ N$ and $F_2=75\ N$, so $F_{net,x}=50 + 75=125\ N$.
Step2: Use Newton's second law to find the mass
According to Newton's second law $F_{net,x}=ma$, where $a = 2.5\ m/s^2$. Then $m=\frac{F_{net,x}}{a}=\frac{125}{2.5}=50\ kg$.
Step3: Calculate the weight of the object
The weight of an object is given by $F_g=mg$, where $g = 9.8\ m/s^2$ and $m = 50\ kg$. So $F_g=50\times9.8 = 490\ N$.
Answer:
490 N