Net Force and Motion Practice Test

A 2 kg cart is pushed so the net force is 5 N, then 10 N, then 15 N. The measured accelerations are 2.5 m/s$^2$, 5.0 m/s$^2$, and 7.5 m/s$^2$.

Based on this pattern, what acceleration should the cart have if the net force is increased to 20 N (same cart)?

A student pushes the same $2,\text{kg}$ cart on a level track. Friction is small, so the net force is about the applied force. The student measures the cart’s acceleration for different net forces:

$F_{\text{net}}$ (N): 0, 5, 10, 15

a ($\text{m/s}^2$): 0, 2.5, 5.0, 7.5

What relationship between net force and acceleration does the data show for this cart?