The force of freely falling body is directly proportional to:a)mass of bodyb)acceleration of bodyc)velocity of bodyd)both (A) and (B)Correct answer is option 'D'. Can you explain this answer?

Question

Answer

The acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to the object's mass.

Answer

See, force= mass x accelerationthis implies that, it is directly proportional to mass as well as acceleration.
or you can even understand it in a different way. force is directly proportional to mass, force is directly proportional to acceleration. this implies that force is directly proportional to mass x acceleration
now in order to remove the proportional sign, we put a constant k. this implies that,force = k x mass x acceleration
for k=1, force = mass x acceleration hence proved.hope this helps you :)

Answer

Force of a Freely Falling Body

When an object is in free fall, it means that it is only being influenced by the force of gravity. The force of gravity causes objects to accelerate towards the Earth. The force experienced by a freely falling body is known as the weight.

Weight and Mass

Weight is the force with which an object is attracted towards the center of the Earth due to gravity. It is directly proportional to the mass of the object. Mass, on the other hand, is the amount of matter contained in an object and is a measure of its inertia. It is a scalar quantity and does not change with location.

Acceleration Due to Gravity

When an object is in free fall, it experiences an acceleration known as the acceleration due to gravity (g). On the surface of the Earth, the value of g is approximately 9.8 m/s^2. This means that for every second an object is in free fall, its velocity increases by 9.8 meters per second.

Relationship between Force, Mass, and Acceleration

According to Newton's second law of motion, the force (F) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a). Mathematically, this can be expressed as F = m * a.

In the case of a freely falling body, the acceleration is equal to the acceleration due to gravity (g). Therefore, the force of a freely falling body can be calculated using the equation F = m * g.

Conclusion

The force experienced by a freely falling body is directly proportional to both the mass of the body and the acceleration due to gravity. This means that as the mass of the body increases, the force also increases. Similarly, if the acceleration due to gravity increases (e.g., on a planet with a higher gravitational pull), the force experienced by the body also increases. Therefore, the correct answer is option 'D' - both the mass and acceleration of the body are factors that determine the force of a freely falling body.

Answer

D

Answer

The acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to the object's mass.

Answer

In an accleration or mass of body will come in an same velocity or magnitude of a body .

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