The answer of 2.25 and 6.75 aren\'t right either when I enter it. Please help, t

Question

The answer of 2.25 and 6.75 aren't right either when I enter it. Please help, thanks!

g cart? (To the left or right) The answer of 2.25 and 6.75 aren't right either when I enter it. Please help, thanks! g cart? 4. What is the direction of the motion of 300- g cart? (To the left or right) 3. What is the speed of 300- g cart? 2. What is the direction of the motion of 100-cm. The carts slide past a flame that burns through the string holding them together. 1. What is the speed of 100-N/m and is compressed 4.5 {{ m/s}}. The spring between them has a spring constant of 100 uploaded image The air-track carts in the figure are sliding to the right at 1.0

Explanation / Answer

From the law of conservation of energy 1/2(0.1kg)v1^2 +1/2(0.3kkg)v2^2=1/2(100N/M)(0.045 m)^2 --------- (1) and From conservation of momentum (0.1kg)v1= (0.3kg)v2 v1 = 3v2 1/3 v1 = v2 Substitute this value in equation (1) 1/2(0.1kg)v1^2 + 1/2(0.3kg)(1/3v1)^2 = 1/2(100N/M)(0.045)^2 (0.1kg)v1^2 + (0.3kg)(1/3v1)^2 = (100N/M)(0.045)^2 v1 ˜1.232 m/s Adjust this for the refrence frame moving at 1m/s so: v1 =1.232 m/s -1.0 m/s = 0.232 m/s v2 = 0.41066 m/s + 1.0 m/s = 1.410 m/s Cart 1 is moving slowly to the left while the heavier Cart 2 is moving quickly to the right.

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