Your little sister (mass 25 kg) is sitting in her little red wagon (mass 8.5 kg) at rest. You begin pulling her forward, accelerating her with a constant force for 2.35 s to a speed of 1.8 m/s. Calculate the Impulse you imparted to the
wagon and its passenger

Respuesta :

As the wagon is been pulled forward with a constant force, the impulse Impulse imparted to the  wagon and the little girl is 60.3kg.m/s

Given the data in the question;

  • Mass of little sister; [tex]m_s =25kg[/tex]
  • Mass of wagon; [tex]m_w = 8.5kg[/tex]
  • time; [tex]t = 2.35s[/tex]
  • Since the wagon was originally at rest, Initial velocity; [tex]u = 0m/s[/tex]
  • Final velocity; [tex]v = 1.8m/s[/tex]

Impulse is the force applied for certain amount of time which results in change in momentum.

[tex]I = M( v-u )[/tex]

To determine the impulse you imparted to the  wagon and its passenger.

Total mass[tex]M = ( m_s + m_w) = ( 25kg + 8.5kg ) = 33.5kg[/tex]

So, we substitute our given values into the equation

[tex]I = 33.5kg(\ 1.8m/s\ -\ 0m/s\ )\\\\I = 33.5kg \ *\ 1.8m/s \\\\I = 60.3kg.m/s[/tex]

Therefore, as the wagon is been pulled forward with a constant force, the impulse Impulse imparted to the  wagon and the little girl is 60.3kg.m/s

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