(Solved): Consider the Atwood machine shown in the figure, where m1=2.00kg and m2=7.85kg. The syst ...

Consider the Atwood machine shown in the figure, where $$m_1=2.00\mathrm{kg}$$ and $$m_2=7.85\mathrm{kg}$$. The system starts at rest, then the sphere is given a quick push downward, giving it an initial speed of $$2.95\mathrm{m}/\mathrm{s}$$. Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction. (a) Through what distance (in $$m$$ ) will $$m_1$$ descend? $$\mathrm{m}$$ (b) What is the velocity (in $$\mathrm{m}/\mathrm{s}$$ ) of $$m_1$$ after $$1.80\mathrm{s}$$ ? magnitude Apply a kinematics equation and the acceleration used to solve part (a) to find the magnitude of the velocity at the given time. $$\mathrm{m}/\mathrm{s}$$ direction