Respuesta :

To solve this problem we will use the concepts related to the Impulse-Momentum Theorem for which it is specified as the product between force and change in time

[tex]\Delta p = F\Delta t[/tex]

And

\Delta p = m\Delta v

Where,

[tex]F = Force[/tex]

[tex]\Delta t = \text{Change in Time}[/tex]

[tex]\Delta v = \text{Change in velocity}[/tex]

[tex]m = mass[/tex]

Rearranging to find the Force we have that

[tex]F = \frac{\Delta p}{\Delta t}[/tex]

Using the expression between mass and velocity

[tex]F = \frac{m(v_f-v_i)}{\Delta t}[/tex]

Our values are given as,

[tex]m = 50.2kg\\v_i = 0m/s \\v_f = 2.8m/s \\\Delta t = 20.1s[/tex]

Then replacing we have that

[tex]F = 6.99N[/tex]

Therefore the average force is 6.99N