question_answer 72)

                  Figure shows \[(x,\,t),\,(y,\,t)\] diagram of a particle moving in 2-dimensions.                 If the particle has a mass of 500 g, find the force (direction and magnitude) acting on the particle.

Answer:

                  Along x-axis, \[{{\upsilon }_{x}}=\]constant, so ax. Therefore, no force acts along x-axis.                 Along y-axis, \[y\,\alpha \,{{t}^{2}}\] or \[{{v}_{y}}=\,2t\]and                 \[{{a}_{y}}=2\,m{{s}^{-2}}\]. Therefore, force acting along y-axis, \[F=0.5\times 2=1.0\text{ }N\].