Respuesta :
Given data
*The given mass of the van is m = 402.89 kg
*The initial speed of the van is u_1 = 20.54 m/s
*The given mass of the compact car is M = 704.44 kg
*The initial speed of the compact car is u_2 = 26.62 m/s
The formula for the new speed of both the vehicles is given by the conservation of momentum as
[tex]\begin{gathered} p_i=p_{f_{}} \\ mu_1+Mu_2=(m+M)v_{}_{} \\ v=\frac{mu_1+Mu_2}{(m+M)} \end{gathered}[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} v=\frac{(402.89\times20.54)+(704.44\times26.62)}{(402.89+704.44)} \\ =24.40\text{ m/s} \end{gathered}[/tex]Hence, the new speed of both the vehicles when they stick together is v = 24.40 m/s
