(a) Three carts of masses m1=4.0 kg, m2=10kg, and m3= 3.0 kg move on a frictionl

Question

(a) Three carts of masses m1=4.0 kg, m2=10kg, and m3= 3.0 kg move on a frictionless horizontal track with speeds of v1 = 5.0 m/s to the right, v2 = 3.0 m/s to the right, and v3 = 4.0 m/s to the left, as shown in Figure. Velcro couplers make the carts stick together after colliding. Find the final velocity of the train of three carts. (b) does your answer in part (a) require that all the carts collide and stick together at the same moment? What if they collide in a different order? Please explain.

Explanation / Answer

a) m1v1 + m2v2 + m3v3 = (m1+m2+m3)vf (4)(5) + (10)(3) - (3.8)(3) = (4+10+3)(vf) vf = (38.6)/(17) vf = 2.3 m/s b) No, because there is no deceleration due to friction, resulting in no resisting force, hence the formula does not involve time. your answer..:)

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