Question

object | mass (g)
hardcover book | 600
magazine | 200
movie | 70
reference book | 700
the librarian pushes the cart with the same force at the start of each trip. order the loads to show the size of the acceleration the cart will have each time it begins to move.
larger acceleration
20 hardcover books
5 magazines
10 movies
2 reference books

Explanation:

Step1: Calculate mass of each load

• 20 hardcover books: \(20\times600 = 12000\) g
• 5 magazines: \(5\times200 = 1000\) g
• 10 movies: \(10\times70 = 700\) g
• 2 reference books: \(2\times700 = 1400\) g

Step2: Recall Newton's second law (\(F = ma\), so \(a=\frac{F}{m}\) when \(F\) is constant, \(a\) is inversely proportional to \(m\))

• Smaller mass → larger acceleration.

Step3: Order by mass (ascending) to get acceleration (descending)

• Masses: 700 g (10 movies) < 1000 g (5 magazines) < 1400 g (2 reference books) < 12000 g (20 hardcover books)
• So acceleration order (larger first): 10 movies, 5 magazines, 2 reference books, 20 hardcover books

Answer:

From larger acceleration to smaller: 10 movies, 5 magazines, 2 reference books, 20 hardcover books