A steel sphere of mass $$100$$ gm moving with a velocity of $$4$$ $$m/s$$ collides with a dust particle elastically moving in the same direction with a velocity of $$1$$ $$m/s$$. The velocity of the dust particle after the collision is (dust$$ particle is of negligible $$mass)

Question

Infinity Learn · Accepted Answer

Conserving Linear momentum ,$$0.1$$ X $$V1$$ $$+$$ m X $$V2$$ $$=$$ $$0.1$$ X $$4$$⇒ $$V1$$ $$+$$ $$10$$ m $$V2$$ $$=$$ $$4$$ $$-$$ $$-$$ $$-$$ $$-$$ $$-$$ $$-$$ $$-$$ $$-$$ $$-$$ $$-$$ (1)Also$$ , $$V2$$ $$-V1$$ $$/$$ $$4-1$$ $$=$$ e $$=1$$ ⇒ $$V1$$ $$=$$ $$(V2$$ $$-$$ $$3$$ $$)-----------------(2)From$$ $$(1) and (2) , $$V2$$ $$=$$ $$7$$ $$/$$ (1$$ $$+10$$ $$m) $$m/sSince$$ m can be ignored , $$V2$$  $$7$$ $$m/s$$

A steel sphere of mass 100 gm moving with a velocity of 4 m/s collides with a dust particle elastically moving in the same direction with a velocity of 1 m/s. The velocity of the dust particle after the collision is (dust particle is of negligible mass)

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material