Two collison carts collide inelastically on a mechanical track. Each cart and ea

Question

Two collison carts collide inelastically on a mechanical track. Each cart and each bar has a mass of 500 grams. There are 3 bars divided between the two carts. Before the collison, Cart 1 is moving with velocity 0.44m/s and cart 2 is stationary. After the collison, both carts stick together and move with velocity 0.176 m/s. Which of the following possible combinations below is correct? Show all calcuations and explain your answer.

A. 3 blocks in cart 1, 0 blocks in cart 2

B. 2 blocks in cart 1, 1 block in cart 2

C. 1 block in cart 1, 2 blocks in cart 2

D. 0 blocks in cart 1, 3 blocks in cart 2

Explanation / Answer

m1v1 + m2v2 = (m1 + m2)vf

m1*0.44 = (m1+m2)*0.176

m1 = 0.4(m1+m2)

500*x = 0.4(500x + 500y)

x = 0.4(x+y)

0.6x = y
x = y/0.6

x = 1/0.6 *y

x = 5/3 y

x/y = 5/3

Hence Option 2.
2 blocks in cart 1, 1 in cart 2.

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