Two boxes m₁ and m₂ are connected by a lightweight cord and sitting on a frictionless surface.A horizontal force of 66 N pulls on box m₁ and then m₂ is pulled along.If the acceleration of both boxes is 2.2 m/s² and the mass of m₁ is 12 kg,find the mass of m₂. A)12 kg B)18 kg C)30 kg D)48 kg E)42 kg

Question

Quizplus · Accepted Answer

We can use Newton's second law of motion to solve this problem: F = ma where F is the applied force, m is the mass of the object, and a is the acceleration produced. Let m1 be the mass of m₁ and m2 be the mass of m₂. When the force is applied to m₁, the tension in the cord connecting the two boxes is equal to the applied force. Therefore, the force on m₂ is also 66 N. For m₁: F = ma 66 = 12a a = 5.5 m/s^2 For m₂: F = ma 66 = m2 * 2.2 m2 = 30 kg Therefore, the mass of m₂ is 30 kg, which is option B.

Two Boxes M1 and M2 Are Connected by a Lightweight

Two Boxes M₁ and M₂ Are Connected by a Lightweight