Karla, Matthew, Daneisha, Vince, and Sergio all have carts of different masses. In their lab, they each
apply a different amount of force to the carts, resulting in different accelerations. However, 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, help
each student determine the mass of their cart, the acceleration of their cart, and the force
they each gave to their cart.
What the students know: the carts had masses of 6kg, 4.5 kg, 9kg, 10 kg, and 12 kg and 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.
2. Vince's cart's mass is neither the smallest nor the largest.
3. The mass of Sergio's cart is greater than Vince's.
4. Daneisha's acceleration was half of Sergio's
5. The force Vince applied to his cart was larger than Matthew's.
6. Matthew's acceleration was greater than Vince's.
7. Karla applied less than 18 N of force.
8. Sergio applied more than 40 N of force.
9. Daneisha's force was greater than 27 N.
10. Vince's acceleration was greater than Daneisha's.
11. Karla had less acceleration than Vince.
12. Karla applies the least amount of force.
13. Vince's cart had twice the mass of Matthew's.