Part A Two 6.00-kg carts, one red and the other green, are 1.00 m apart on a sur

Question

Part A Two 6.00-kg carts, one red and the other green, are 1.00 m apart on a surface where either cart experiences a constant frictional force of 5.00 N when it moves. Throughout the problem, the red cart is pushed with a constant force of 14 N toward the green one. The green cart is at rest before the collision. What is the acceleration of the center of mass before the two carts colide? Assume that the direction of motion of the red cart before the collision is the positive direction. Express your answer with the appropriate units. 4m.1 Value Units Submit Part B What is the acceleration of the red cart before they collide? Assume that the direction of motion of the red cart before the collision is the positve direction. Express your answer with the appropriate units. arelValue Units Submit Part C What is the acceleration of the center of mass after they collide? Assume that the direction of motion of the red cart before the collision is the positive direction. Express your answer with the appropriate units. aemValue Units Submit t Ans

Explanation / Answer

A)
acceleration of red car, a1 = Fnet/m

= (14 - 5)/6

= 1.5 m/s^2

acceleration of green car, a2 = 0

m1 = m2 = 6 kg

so,

acceleration of center of mass, a_cm = (m1*a1 + m2*a2)/(m1+m2)

= (6*1.5 + 6*0)/(6 + 6)

= 0.75 m/s^2

B) a_red = Fnet/m

= (14 - 5)/6

= 1.5 m/s^2

C) a_cm = 0.75 m/s^2

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