The contraption below has the following
characteristics: m1 = 2.0 x 103 kg, m2 = 4.4 x 102 kg,
the man on top of m2 has a mass m = 6.0 x 101 kg,
and all surfaces are frictionless. What is the apparent
weight of the man?

Respuesta :

Answer:

The correct answer is "470.4 N".

Explanation:

Let the system moves downwards with acceleration "a",

then,

⇒ [tex]a = \frac{Net \ external \ force}{Net \ mass}[/tex]

      [tex]=\frac{(m_2+m)g}{(m_2+m_1+m)}[/tex]

      [tex]=\frac{440+60}{(440+2000+60)}[/tex]

      [tex]=\frac{500\times 9.8}{2500}[/tex]

      [tex]=1.96 \ m/s^2[/tex]

The apparent weight will be:

⇒ [tex]mg-F_A=ma[/tex]

or,

⇒ [tex]F_A=mg-ma[/tex]

         [tex]=m(g-a)[/tex]

By substituting the values, we get

         [tex]=60(9.8-1.96)[/tex]

         [tex]=470.4 \ N[/tex]