a football of mass 0.38 kg is traveling towards a boy at 2.8ms-1. the boy kicks the ball with a force of 21N, reversing its direction. if the time of imapct between the football and boy’s foot is 250ms. what is the new speed of trhe ball?

Respuesta :

Answer:

Final speed in reverse direction will be 11 m/s

Explanation:

As per impulse momentum theorem we know that

Change in momentum of the object is product of force and time

so we have

[tex]P_f - P_i = F\Delta t[/tex]

now we have

[tex]P_f = mv_f[/tex]

[tex]P_i = mv_i[/tex]

[tex]\Delta t = 250 ms[/tex]

F = 21 N

now we have

[tex]0.38(v_f) - 0.38(-2.8) = 21(250\times 10^{-3})[/tex]

[tex]v_f = 13.82 - 2.8[/tex]

[tex]v_f = 11 m/s[/tex]