Question

sirniyah investigates cars of different masses being pulled along a flat surface. she created a table that (displays) shows her data. when she presents her discoveries to her class, which two carts should she say that had the same acceleration?
acceleration variables
cart applied force (n) mass (kg)
1 10 5
2 5 10
3 20 10
4 30 2

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), so \(a=\frac{F}{m}\).

Step2: Calculate acceleration for each cart

• For cart 1: \(a_1=\frac{F_1}{m_1}=\frac{10}{5}=2\space m/s^{2}\)
• For cart 2: \(a_2=\frac{F_2}{m_2}=\frac{5}{10}=0.5\space m/s^{2}\)
• For cart 3: \(a_3=\frac{F_3}{m_3}=\frac{20}{10}=2\space m/s^{2}\)
• For cart 4: \(a_4=\frac{F_4}{m_4}=\frac{30}{2}=15\space m/s^{2}\)

Answer:

Cart 1 and Cart 3