Question

delivery trucks are being loaded. the trucks are identical, but different objects are placed inside each one.
masses of objects
objectmass (kg)
box of tile30
carpet20
piece of furniture120
tire25
each truck has the same acceleration as it begins moving. order the loads to show the size of the force on each truck as it starts to move.
larger force
10 carpets
20 boxes of tile
2 pieces of furniture
5 tires
smaller force

Explanation:

Step1: Calculate mass of each load

• For 10 carpets: \(m_1 = 10\times20=200\) kg
• For 20 boxes of tile: \(m_2 = 20\times30 = 600\) kg
• For 2 pieces of furniture: \(m_3=2\times120 = 240\) kg
• For 5 tires: \(m_4=5\times25=125\) kg

Step2: Use Newton's second law \(F = ma\) (since \(a\) is same)

Since \(F = ma\) and \(a\) (acceleration) is constant for all trucks, the force is directly proportional to mass (\(F\propto m\)). So we order based on mass.

Answer:

Larger force: 20 boxes of tile (\(600\) kg), 2 pieces of furniture (\(240\) kg), 10 carpets (\(200\) kg), 5 tires (\(125\) kg) : Smaller force