A 4.0-kg and a 6.0-kg box rest side-by-side on a perfectly smooth, level floor. A horizontal force of 15 N is applied to the 4.0-kg box pushing it against the 6.0-kg box, and, as a result, both boxes slide along the floor. How hard do the two boxes push against each other

Respuesta :

7.5 N against each other

Given the mass of the two boxes are 4 kg and 6 kg

calculate the common acceleration of the two boxes when they join together

F = ma; m = (4 +6)kg and F = 15N

a = F/m

a = 15/10 = 1.5 m/s²

Calculate the impact force of 4 kg box on 6 kg box

F = ma

F = 4 X 1.5 = 6 N

Calculate the force of 5kg box when it accelerate on 1.5m/s²

F = ma

F = 5 X 1.5 = 7.5N

Calculate the opposing force of 5kg box

F = 15N -7.5N = 7.5N

Therefore, each box exerts a force of 7.5 to the other in opposite direction.

Learn more about Newton's Third Law of Motion here

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