
An apparent weight of an object is equal to the magnitude of ________. Complete the statement by filling the blank.
A. Force of gravity
B. Force of momentum
C. Force of acceleration
D. Force of potential
Answer
586.2k+ views
Hint: For mostly, before going into finding the solution of the given question we revisit the basic definition and formula of force.
Force is basically any interaction that will change the motion of an object, that is it can cause an object with mass to change its velocity i.e. to accelerate.
Hence, it can be formulated as $\vec{F}=m\vec{a}$ in reference to Newton’s second law of motion.
Complete step by step answer:
Force of gravity, being one of the four fundamentals Forces, is the Universal Force acting between all matters and it is generally measured by the acceleration it gives to the free falling bodies.
Momentum, for any moving body, is just the product of its mass and its velocity. Traditionally, symbolized as ‘p‘, it could be formulated as $p=mv$ and is also the first derivative of force with respect to time i.e. Force can also be equated as the rate of change of momentum.
Force of acceleration is the force experienced by an accelerated body and could be equated as $\vec{F}=m\vec{a}$.
Force of Potential is the negative derivative of potential energy with respect to distance as the potential energy U is equal to the work that must be done against that force to move an object from a reference point where $U=0$ to the position r.
Hence, the correct option would be (A) Force of gravity as Weight is itself a downward force of gravity.
Note:
It is advised to remember that Force is a derivative of momentum with respect to time, a negative derivative of potential energy with respect to distance and directly proportional to acceleration. Hence, these were incorrect options as weight is the force exerted on a body due to gravity.
Force is basically any interaction that will change the motion of an object, that is it can cause an object with mass to change its velocity i.e. to accelerate.
Hence, it can be formulated as $\vec{F}=m\vec{a}$ in reference to Newton’s second law of motion.
Complete step by step answer:
Force of gravity, being one of the four fundamentals Forces, is the Universal Force acting between all matters and it is generally measured by the acceleration it gives to the free falling bodies.
Momentum, for any moving body, is just the product of its mass and its velocity. Traditionally, symbolized as ‘p‘, it could be formulated as $p=mv$ and is also the first derivative of force with respect to time i.e. Force can also be equated as the rate of change of momentum.
Force of acceleration is the force experienced by an accelerated body and could be equated as $\vec{F}=m\vec{a}$.
Force of Potential is the negative derivative of potential energy with respect to distance as the potential energy U is equal to the work that must be done against that force to move an object from a reference point where $U=0$ to the position r.
Hence, the correct option would be (A) Force of gravity as Weight is itself a downward force of gravity.
Note:
It is advised to remember that Force is a derivative of momentum with respect to time, a negative derivative of potential energy with respect to distance and directly proportional to acceleration. Hence, these were incorrect options as weight is the force exerted on a body due to gravity.
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