The air-track carts in the figure(Figure 1) are sliding to the right at 1.0 m/s.

Question

The air-track carts in the figure(Figure 1) are sliding to the right at 1.0 m/s. The spring between them has a spring constant of 150N/m and is compressed 4.3cm . The carts slide past a flame that burns through the string holding them together. What is the speed of the 100-g cart, and also the speed of the 300-g cart?

The air-track carts in the figure(Figure 1) are sliding to the right at 1.0 m/s. The spring between them has a spring constant of 150N/m and is compressed 4.3cm . The carts slide past a flame that burns through the string holding them together. What is the speed of the 100-g cart, and also the speed of the 300-g cart?

Explanation / Answer

V1' =?[Kd2/m1((m1/m2)+1)]

V1' =?(150*0.0432/[0.1((0.1/0.3)+1)] =1.44m/s

V2' =?[Kd2/m2((m2/m1)+1)]

V2' =?(150*0.0432/[0.3((0.3/0.1)+1)] =0.24m/s

? V1 =1-1.44 =-0.44m/s(left)

V2 =1+0.24 =1.24m/s (right)

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