Challenge Problems (Problem 107)

An object is acted on by three simultaneous forces: ${\vec{F}}_1=(-3.00\hat{i}+2.00\hat{j})\text{N}$, ${\vec{F}}_2=(6.00\hat{i}-4.00\hat{j})\text{N}$, and ${\vec{F}}_3=(2.00\hat{i}+5.00\hat{j})\text{N}$. The object experiences acceleration of $4.23{\text{m/s}}^2$. (a) Find the acceleration vector in terms of m. (b) Find the mass of the object. (c) If the object begins from rest, find its speed after 5.00 s. (d) Find the components of the velocity of the object after 5.00 s. Select the answer to part (b).