Answer:
-6.3 N
Explanation:
The equation we need to use is:
[tex]F \Delta t = \Delta (mv)[/tex]
where
F is the force of friction, that slows down the bag
[tex]\Delta t[/tex] is the time of the motion
m is the mass of the bag
v is the speed of the bag
Since the mass of the bag does not change, we can rewrite the equation as
[tex]F \Delta t= m \Delta v[/tex]
where we have:
[tex]\Delta t=1.6 s\\m=5.0 kg\\\Delta v=-2.0 m/s[/tex]
Substituting and re-arranging the equation, we can find the force of friction:
[tex]F=\frac{m\Delta v}{\Delta t}=\frac{(5.0 kg)(-2.0 m/s)}{1.6 s}=-6.3 N[/tex]
where the negative sign means that the force is in the opposite direction to the motion of the bag.
