Question

shoppers are beginning to push their grocery carts toward the cash register. the carts are identical, but the shoppers have placed different objects in their carts. each shopper pushes with the same force. order the shoppers purchases to show the size of the acceleration each cart will have. larger acceleration smaller acceleration

Explanation:

Step1: Calculate the mass of each purchase

• For 5 bottles of juice: \(m_1 = 5\times500 = 2500\space g\)
• For 2 bags of grapes: \(m_2=2\times400 = 800\space g\)
• For 20 cans of beans: \(m_3 = 20\times200=4000\space g\)
• For 10 jars of peanut butter: \(m_4=10\times700 = 7000\space g\)

Step2: Use Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, \(a\) is acceleration, and \(a=\frac{F}{m}\), \(F\) is constant)

Since \(a\propto\frac{1}{m}\) (inverse - proportional relationship when \(F\) is constant), the smaller the mass \(m\), the larger the acceleration \(a\)

Answer:

2 bags of grapes, 5 bottles of juice, 20 cans of beans, 10 jars of peanut butter