playing for fun
Last Activity: 4 Years ago
- initial velocity of the partical is v0
- final velocity of the partical is v1
- let velocity of the wedge be V
- alpha=a
- apply linear momentum of conservation in direction parllel to the inclined surface
- mv0cosa=mv1sina+MVcosa
- =since (M=2m)
- v0cosa=v1sina+2Vcosa
- v1=(v0-2V)cota (eq=1)
apply linear conservation of momentum direction perpendicular to inclined suface
- mv0sina=MVsina-mv1cosa
- v0sina=2Vsina-v1cosa
- v1=(2V-v0)tana (eq=2)
from eq 1 and 2
- v0=2V
- and therefore v1=0 from eq 2
it means the partical doesn’t go upward after collision
hence two impacts occur at the same time
so the time taken between them is 0 sec