12.82. Model:The clay balls are particles and undergo a totally inelastic collision. Linear momentum is conserved during the collision. Visualize:Solve:(a)The angle is measured counterclockwise from rGto .vGFrom geometry, ()11180tan1225 ,β−=°+and 121tan26.6 .2−⎛⎞==°⎜⎟⎝⎠So ()12 111 1 22222sinsin0.015 kg2 m2 m/s sin 2250.025 kg5 m2.0 m/s sin 26.60.020 kg m /s.LL L mrvmrvββ=++++°=Note that the signs of 1Land 2Lagree with those determined by the right-hand rule. (b)At the instant before the clay balls collide they are located at (1.5 m, 1.0 m). Here, 12122tan33.7180146.33−°=°+=°So ()()( )()()2220.015 kg1.0 m1.5 m2.0 m/s sin 213.70.025 kg1.0 m1.5 m2.0 m/s sin33.7
This is the end of the preview.
access the rest of the document.