Force and Mass Relation in Acceleration Calculation

Which cart will have the greater acceleration?

Given that a force of 24N is exerted on 2 carts, where Cart A has a mass of 45kg and Cart B has a mass of 25kg.

Answer:

Cart B will have the greater acceleration.

Acceleration is directly proportional to the force applied and inversely proportional to the mass of an object. According to Newton's second law of motion, acceleration (a) is equal to the force (F) acting on an object divided by the mass (m) of the object, represented by the formula: a = F / m.

In this scenario, both carts are subjected to the same force of 24N. However, Cart B has a lower mass compared to Cart A. Since acceleration is inversely proportional to mass, Cart B (25kg) will have a greater acceleration compared to Cart A (45kg) when the same force is applied to both carts.

This means that Cart B will experience a higher rate of change in velocity per unit of time compared to Cart A when the force of 24N is exerted on them. Therefore, Cart B will have the greater acceleration in this situation.