A 1-kg pellet trevels with veioety 200 m/s to the right when R cailides with a 3

Question

A 1-kg pellet trevels with veioety 200 m/s to the right when R cailides with a 39-kg hanging mass which is iitaly at rest. Ater the colision, the peaet remans lodged in the hanging mass, Le. t s a completely ineastic collision The hanging mass +pellet then swingt-pward and reaches a masimum ogit hman bel re swingng downward·gar ,asume hat eiterna forte are p esn-theretn the momenturn of the system is eonserved. What is the velocity vy of the hanging mass +pelet immediately after the collision Submit Answer Tries 0y3 What is the final kinetic energy Ky of the hanging mass+ pellet immediately after the collision? What is the maximum height hmax of the swinging hanging mass+ pelilet in centimeters? Submit AnsTries dv3 Send Feedback Post Discussion

Explanation / Answer

let m = 1 kg
vi = 200 m/s
M = 39 kg

1) apply conservation of momentum

(m + M)*vf = m*vi

vf = m*vi/(m + M)

= 1*200/(1 + 39)

= 5.0 m/s

2) Kf = (1/2)*(m + M)*vf^2

= (1/2)*(1 + 39)*5^2

= 500 J

3) h_max = vf^2/(2*g)

= 5^2/(2*9.8)

= 1.28 m

= 128 cm

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