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HELPPPPPPP !!!!!! PLS A 0.050 kg Truck moving right at 0.20 m/s collides with a toy race car weighing 0.015 kg initially at rest on a frictionless track. the truck keeps moving right at 0.15 m/s after Collision what is the final speed of the race car?

Respuesta :

Answer:

[tex]v_f=0.15\:\mathrm{m/s}[/tex]

Explanation:

From the Law of Conservation of Momentum, we can write the following equation:

[tex]m_1v_1+m_2v_2=m_fv_f[/tex]

Because the toy car was initially at rest, [tex]m_2v_2=0[/tex].

Therefore, we can plug in given values and solve for [tex]v_f[/tex]:

[tex]m_1v_1=m_fv_f,\\0.050\cdot 0.20 = (0.050+0.015)v_f,\\v_f=\fbox{$0.15\:\mathrm{m/s}$}[/tex] (two significant figures).