Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

emmett makes deliveries on his bicycle for a pizza shop. he always ride…

Question

emmett makes deliveries on his bicycle for a pizza shop. he always rides the same bicycle and places the objects he is delivering in the bicycles basket.
emmett applies the same force to the bicycle each time he starts to ride. order the deliveries to show the size of the acceleration the bicycle will have each time emmett leaves the pizza shop.
larger acceleration
5 boxes of breadsticks
2 boxes of chicken wings
20 pizzas
10 salads
smaller acceleration

Explanation:

Step1: Calculate the mass of each delivery

  • For 5 boxes of breadsticks: \(5\times100 = 500\space g\)
  • For 2 boxes of chicken wings: \(2\times500=1000\space g\)
  • For 20 pizzas: \(20\times600 = 12000\space g\)
  • For 10 salads: \(10\times200=2000\space g\)

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

Since \(F\) is the same for each delivery, the smaller the mass \(m\), the larger the acceleration \(a\).

Answer:

Larger acceleration: 5 boxes of breadsticks (mass = \(500\space g\))
Then: 2 boxes of chicken wings (mass = \(1000\space g\))
Then: 10 salads (mass = \(2000\space g\))
Smaller acceleration: 20 pizzas (mass = \(12000\space g\))