Combination of Bodies and Acceleration Produced

When two bodies with different masses are subjected to the same force, they experience different accelerations due to their different masses. If the acceleration produced in the first body is a1 and that in the second body is a2, then the acceleration produced in the combination of the two bodies is given by:

a = F/(m1 + m2)

where F is the force applied, m1 and m2 are the masses of the two bodies.

Explanation:

When a force is applied to a body, it produces an acceleration in the body according to Newton’s second law of motion, which states that the force acting on a body is directly proportional to the acceleration produced in the body.

F = ma

Where F is the force applied, m is the mass of the body, and a is the acceleration produced in the body.

When the same force is applied to two bodies with different masses, the acceleration produced in each body is different due to their different masses. The body with a smaller mass experiences a larger acceleration, while the body with a larger mass experiences a smaller acceleration.

The acceleration produced in the combination of the two bodies is determined by the total mass of the bodies and the force applied. The acceleration produced in the combination is smaller than the acceleration produced in the body with the smaller mass and larger than the acceleration produced in the body with the larger mass.

This is because the total mass of the combination is greater than the mass of the smaller body and less than the mass of the larger body. Therefore, the acceleration produced in the combination is a weighted average of the accelerations produced in the individual bodies.

In conclusion, the acceleration produced in the combination of two bodies subjected to the same force is determined by the total mass of the bodies and the force applied. The acceleration produced in the combination is a weighted average of the accelerations produced in the individual bodies.