Question

a family is moving boxes into their new house. the boxes are all the same size, but they contain different objects. masses of objects ceramic mug 300 glass cup 60 plastic cup 10 porcelain tea cup 30 the boxes have the same acceleration when the family members start to lift them. order the boxes contents to show the size of the force applied to lift each box. larger force 2 ceramic mugs 20 glass cups 10 plastic cups 5 porcelain tea cups smaller force

Explanation:

Step1: Calculate the mass of each box

• For 2 ceramic mugs: \(m_1 = 2\times300\ g=600\ g\)
• For 20 glass cups: \(m_2 = 20\times60\ g = 1200\ g\)
• For 10 plastic cups: \(m_3=10\times10\ g = 100\ g\)
• For 5 porcelain tea cups: \(m_4 = 5\times30\ g=150\ g\)

Step2: Use Newton's second law \(F = ma\) (since \(a\) is the same for all boxes, \(F\propto m\))

Since \(F = ma\) and \(a\) (acceleration) is constant (given), the force \(F\) is directly proportional to the mass \(m\) of the object in the box.

Answer:

Larger force: 20 glass cups, 2 ceramic mugs, 5 porcelain tea cups, 10 plastic cups (smaller force)