Three forces are exerted on a \(2.00-\mathrm{kg}\) block initially at rest on a slippery surface: a \(100-\mathrm{N}\) force directed along the positive \(x\) axis, a \(50.0-\mathrm{N}\) force that makes an angle of \(30.0^{\circ}\) with the positive \(x\) axis, and a \(144-\mathrm{N}\) force that makes an angle of \(190^{\circ}\) with the positive \(x\) axis. (Both angles are measured as viewed from above.)

(a) What is the vector sum of the forces exerted on the block?

(b) What is the work done on the block in \(10.0 \mathrm{~s}\) ?