Constants g = 9

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Constants g = 9.8 N/kg, G = 6.67 x 10 ^- 11 Nm^2 /kg^2 , c = 3.00 x 10^8 m/s, k = 8.99 x 10^9 Nm^2 /C^2 , e = 1.60 x 10 ^- 19 C, m electron = 9.11 x 10^ - 31 kg, m proton = 1.67 x 10 ^- 27 kg, m Earth = 5.98 x 10^24 kg, r Earth = 6.38 x 10^6 m, 

 

1)Cart A had a mass of 250g, and it rolled down an incline before it caught up to cart B which had a mass of 350g. Cart A started from rest, 0.600m vertically above the level of cart B. Cart B was moving at 1.00m/s [right] before cart A collided with it. Cart B has a compression-spring connected to its rear side so that Cart A compresses the spring as it collides with Cart B. The spring constant of the compression spring was 150N/m.

a. Determine the maximum compression of the spring as the carts collide

b. Determine the velocities of each of the carts once the spring has completely recoiled