6. Granny whizzes path. des around the rink and is suddenly confronted with Ambr

Question

6. Granny whizzes path. des around the rink and is suddenly confronted with Ambrose at rest directly in her over, she picks him up and continues in motion without "braking." Rather than knock him Consider both Granny and Ambrose as two parts of one system. Since no outside forces act on the system, the momentum of the system before collision equals the momentum of the system after collision. a. Complete the before-collision data in the table below. BEFORE COLLISION Granny's mass 80 kg Granny's speed 3 m/s Granny's momentum Ambrose's mass 40kg Ambrose's speed 0 m/s Ambrose's momentum Total momentum b. After collision, does Granny's speed increase or decrease? C. d. After collision, what is the total mass of Granny+Ambrose? e. After collision, what is the total momentum of Granny+ Ambrose? Use the conservation of momentum law to find the speed of Granny and Ambrose together after collision. Show your work in the space below.) f.

Explanation / Answer

6. a.

given

granny's mass, M = 80 kg

granny's speed , U = 3 m/s

ambrose's mass, m = 40 kg

ambrose's speed, u = 0 m/s

hence

granny's momentum = MU = 240 kg m/s

ambrose's momentum = mu = 0 kg m/s

hence

total momentum = 240 kg m/s

b. after collision grannys spee will decrease

c. after collision ambrose's speed will increase

d. total mass of granny and ambrose after collision = M + m = 120 kg

e. from conservation of momentum, total momentum after collision = 240 kg. m/s

f. hence

240 = (M + m)v

v = 2 m/s

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