Question

people are riding buses to work in the morning. the buses are all the same, but they are carrying different numbers of people. the buses are going the same speed, and each bus is one block away from its next stop.
masses of riders on buses
bus line mass (kg)
b43 1,874
ct5 1,740
m2 1,405
sl1 1,539
x9 1,070
the buses have the same acceleration as they slow down for their stops. order the bus lines to show the size of the force applied to each bus.
larger force
b43
ct5
m2
sl1
x9
smaller force
submit

Explanation:

Step1: Recall Newton's Second Law

Newton's second law states that the force \( F \) acting on an object is given by the formula \( F = ma \), where \( m \) is the mass of the object and \( a \) is the acceleration.

Step2: Analyze the given information

We are told that all the buses have the same acceleration (\( a \) is constant) as they slow down for their stops. So, the force applied to each bus depends directly on its mass (since \( F \propto m \) when \( a \) is constant).

Step3: Order the masses from largest to smallest

First, list the masses of each bus line:

• B43: \( 1874 \, \text{kg} \)
• CT5: \( 1740 \, \text{kg} \)
• SL1: \( 1539 \, \text{kg} \)
• M2: \( 1405 \, \text{kg} \)
• X9: \( 1070 \, \text{kg} \)

Now, order the masses from largest to smallest: \( 1874 > 1740 > 1539 > 1405 > 1070 \)

Step4: Relate mass to force

Since \( F = ma \) and \( a \) is constant, a larger mass means a larger force. So, the order of the bus lines from larger force to smaller force is based on the order of their masses.

Answer:

From larger force to smaller force, the order of the bus lines is: B43, CT5, SL1, M2, X9