Question

As shown in the figure, a wooden ball with mass m, is initially at rest on a horizontal, frictionless table. A second wooden ball with mass m, moving with a speed 2.00 m/s, collides with my. Assume m, moves initially along the +x-axis. After the collision, m, moves with speed 1.00 m/s at an angle of 0 = 52.0° to the positive x-axis. (Assume me = 0.200 kg and m, = 0.300 kg.) Figure b: After the collision Before the collision The two objects are shown at their final positions after they collide. A point along the dotted horizontal line where the smaller object was initially placed shows the point of collision. Yuf • The smaller object of mass m is shown to be moving along a diagonal path up and to the right at an angle o to the horizontal. Its final velocity is shown by an arrow grzoging diagonally upward and to the right and is labeled vector Vf. This vector's horizontal component is V1f cos(O), and its vertical component is Vif sin(O). Ver cos • The larger object of mass m is shown to be moving along a diagonal path down and to the right after collision. The path to at an angle • with the horizontal. Its final velocity is shown by an arrow moving diagonally downward and to the right and is labeled vector va This vector's li m m2 (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision.

Answer 1

Giver 0-2k9 O3 (a) From the mamintum 0 consvalion M,Vi miVf caso + 2 mic2mlac)? m, Cim lecc) Ccososhoss t m v Co 2)015co3 8 sinoj co.2) C coss2&+ sins2 + C0.2)C2)2 3 +0.3V, 0.4 12.3 +0.3V1 o.2 O. 1s46 92 33 o Co.923332 CoS253) (b) kt-ki t lei 2 2 Co 2) C 1 (0.3 C0622) 2 e 2 01692 AK .327 i