Answer:
4.31 m
Explanation:
Given:
Mass, m = 5.670 g = 5.670 × 10⁻³ kg
initial speed = 3.9 m/s
Frictional force, F = 0.01 N
Now,
the work done by the frictional force = change in the energy of the system
work done = Force × Displacement
let the stopping distance be 'x'
thus,
- Fx = [tex]\frac{1}{2}mv_f^2-\frac{1}{2}mv_i^2[/tex]
here,
negative sign means that the work done by the frictional force is in opposite direction to the movement of the mass.
[tex]v_f[/tex] is the final speed of the mass = 0 m/s as it is stopped
therefore,
- 0.01 × x = [tex]\frac{1}{2}\times5.670\times0^2-\frac{1}{2}\times5.670\times3.9^2[/tex]
or
x = 4.31 m
