Answer:
Weight = 490 N
Explanation:
The two forces labeled [tex]F_g[/tex] and [tex]F_N[/tex] are the force of gravity and the normal force that the surface acts upon the object. These are equal and in opposite directions cancelling each other.
The other two forces [tex]F_1[/tex] and [tex]F_2[/tex] are both pointing to the right, and therefore add up to give a net force of:
50 N + 75 N = 125 N pointing to the right.
Since the net acceleration of the object is given as 2.5 [tex]\frac{m}{s^2}[/tex], we can use it in Newton's equation for the net force on an object Β [tex]F_{net}=m*a[/tex] to solve for the object's mass:
[tex]F_{net}=m*a\\125\,N=m*2.5 \frac{m}{s^2} \\m=\frac{125}{2.5} kg\\m=50\,kg[/tex]
Notice that since all units are in the SI system, the mass comes directly in kilograms (unit of mass in the SI system)
Now, to find the weight of the object, we multiply its mass times the acceleration of gravity (9.8 [tex]\frac{m}{s^2}[/tex]):
Weight = [tex]50 \,kg * g =50\,kg*9.8\frac{m}{s^2} =490\,N[/tex]
Again, since all quantities are expressed in SI units, the weight (a force) will come out in units of "Newtons" (N)
