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Why does a larger mass need more force to produce the same acceleration?
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physics
As conceived by Daniel Bernoulli in Hydrodynamica (1738), gases consist of numerous particles in rapid random motion. He assumed that the pressure of a gas is produced by the direct impact of the particles on the walls of the container.
A larger mass requires more force to produce the same acceleration because of the property known as inertia.
According to Newton’s second law, the acceleration of an object is inversely proportional to its mass when a constant force is applied. This relationship is expressed by the equation , where is the force, is the mass, and is the acceleration.1
Inertia is the inherent resistance of a body to changes in its state of motion. Because mass is a numerical measure of this inertia, a body with greater mass possesses a greater resistance to being accelerated. Consequently, to achieve the same rate of acceleration as a smaller body, a larger mass must be subjected to a proportionally greater force.1