The acceleration of an object isa)inversely proportional to its massb)directly proportional to the applied forcec)resisted by inertiad)all of the aboveCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Newton's second law of motion can be formally stated as follows:- The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Answer

Option D

Answer

Yes correct option is D)
Since, F=ma (second law of motion)
Therefore, a=F/m hence acceleration is inversely proportional to mass.
Which also indicates that acceleration is directly proportional to force.

Since mass is the amount of inertia. Therefore, acceleration is resisted by inertia.

Answer

Acceleration is defined as the rate of change of velocity with respect to time. It is a vector quantity, meaning it has both magnitude and direction. The acceleration of an object can be affected by various factors, including mass, force, and inertia.

Inversely Proportional to Mass:
Mass is a measure of the amount of matter in an object. According to Newton's second law of motion, the acceleration of an object is inversely proportional to its mass. This means that as the mass of an object increases, its acceleration decreases, and vice versa. The formula for Newton's second law is F = ma, where F is the force applied to the object, m is its mass, and a is its acceleration. From this equation, it is clear that if the mass increases, the acceleration will decrease for a given force.

Directly Proportional to Applied Force:
According to Newton's second law of motion, the acceleration of an object is directly proportional to the applied force. This means that if a greater force is applied to an object, its acceleration will increase. Conversely, if a smaller force is applied, the acceleration will decrease. So, the greater the force applied, the greater the acceleration of the object.

Resisted by Inertia:
Inertia is the tendency of an object to resist changes in its state of motion. It is directly related to an object's mass. When a force is applied to an object, it tries to change the object's state of motion. However, due to inertia, the object resists this change and tries to maintain its current state of motion. This resistance to a change in motion is often referred to as the 'inertia of rest' or 'inertia of motion.' Therefore, inertia acts as a resistance to acceleration.

All of the Above:
From the above explanations, it is clear that the acceleration of an object is influenced by its mass, the applied force, and the inertia. Therefore, the correct answer is option D - all of the above.

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