Question

two people are pulling a cart with the same amount of force. which cart will have more acceleration? a b ​will have more acceleration because ​equals more acceleration

Explanation:

Step1: Recall Newton's Second Law

Newton's second law states that \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration. Rearranging for acceleration, we get \( a=\frac{F}{m} \).

Step2: Analyze the Masses of Carts A and B

Cart A has less mass (fewer objects on it) than Cart B (more objects on it). The force applied to both carts is the same (given that two people are pulling with the same amount of force).

Step3: Relate Mass and Acceleration

From \( a = \frac{F}{m} \), when force \( F \) is constant, acceleration \( a \) is inversely proportional to mass \( m \) (i.e., \( a\propto\frac{1}{m} \)). So, a smaller mass will result in a larger acceleration. Since Cart A has less mass than Cart B, Cart A will have more acceleration.

Answer:

Cart A will have more acceleration because less mass (when force is constant, less mass equals more acceleration).