Two cartons sit next to, and touching, each other on a frictionlesshorizontal su

Question

Two cartons sit next to, and touching, each other on a frictionlesshorizontal surface. The lighter carton has a mass of 5.09 kg and the heavier carton has a mass of7.26 kg. (a) Find the contact force between thesecartons when a horizontal force of 5.9 Nis applied to the light carton.
N
(b) If the 5.9 N force is applied to theheavy carton instead, the contact force between the cartonsis less than the contact force in part (a)
(c) Verify your answer to part (b) by calculating the contact forcein this case.
N (a) Find the contact force between thesecartons when a horizontal force of 5.9 Nis applied to the light carton.
N
(b) If the 5.9 N force is applied to theheavy carton instead, the contact force between the cartonsis less than the contact force in part (a)
(c) Verify your answer to part (b) by calculating the contact forcein this case.
N

Explanation / Answer

   m1= 5.09 kg    m2 = 7.26 kg    F = 5.9 N    acceleration, a = Total force / Total mass =F / ( m1 + m2 ) = 5.9 / 12.35 = 0.48 m/s^2    (a)   Contact force = (opposite mass ) ( acceleration ) = m2 * a = 7.26 * 0.48 = 3.468N    (b)   Yes, it is less    (c)   Contact force = (opposite mass ) ( acceleration ) = m1 * a = 5.09 * 0.48 =2.443 N

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