Background story: Karla, Matthew, Daneisha, Vince and Sergio all have carts of different masses. In their lab, they each apply a different amount of force to their carts, resulting in different accelerations. Yikes! They did not label their data table and are now trying to backtrack and identify all of their data. Your task: using the clues below and your understanding of Newton’s 2nd Law of Motion (F=ma), help each student determine the mass of their cart, the acceleration of their cart, and the force they each gave their cart. What the students know: • the carts had masses of 6 kg, 4.5 kg, 9 kg, 10 kg and 12 kg • the carts had
accelerations of 5 m/s2 , 3 m/s2 , 2 m/s2 , 4 m/s2 , and 2.5 m/s2.
Clues: 1) Karla’s cart is half the mass of Daneisha’s cart.
2) The mass of Vince’s cart is neither the smallest nor the largest.
3) The mass of Sergio’s cart is greater than the mass of Vince’s cart.
4) The acceleration of Daneisha’s cart was half the acceleration of Sergio’s cart.
5) The force Vince applied to his cart was larger than the force that Matthew applied to his cart.
6) The acceleration of Matthew’s cart was greater the acceleration of Vince’s cart.
7) Karla applied less than 18 N of force to her cart.