
A body falls freely towards the earth with:
(A) uniform speed
(B) uniform velocity
(C) uniform acceleration
(D) none of these
Answer
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HintIn a free fall motion, the body falls from top towards the ground, this free fall is due to the gravitational force of gravity of the earth. In free fall, the speed and velocity are depending on the weight of the object only. This can be determined by using the gravitational force formula.
Formulae Used:
The gravitational force is the product of the mass of the body and acceleration due to gravity,
$F = m \times g$
Where,
$F$ is the gravitational force, $m$ is the mass of the body and $g$ is the acceleration due to gravity.
Complete step-by-step solution:
The gravitational force is the product of the mass of the body and acceleration due to gravity,
$F = m \times g\,................\left( 1 \right)$
Form, the equation (1), it is very clear that the acceleration due to gravity is the constant term. So, when the object is free fall towards earth due to gravity with uniform acceleration.
Acceleration due to gravity is the acceleration that the object is gained by the gravitational force. And the SI unit of the acceleration due to gravity is $m{s^{ - 2}}$. And the acceleration due to gravity has magnitude as well as direction. And it’s standard value is $9.81\,m{s^{ - 2}}$, sometimes the acceleration due to gravity is taken as $10\,m{s^{ - 2}}$.
Thus, the body falls free towards the earth with uniform acceleration.
Hence, the option (C) is the correct answer.
Note:- An object that falls through a vacuum is subjected to only one external force, the gravitational force, expressed as the weight of the object. The acceleration is constant and equal to the gravitational acceleration $g$ which is $9.8$ meters per square second at sea level on the Earth.
Formulae Used:
The gravitational force is the product of the mass of the body and acceleration due to gravity,
$F = m \times g$
Where,
$F$ is the gravitational force, $m$ is the mass of the body and $g$ is the acceleration due to gravity.
Complete step-by-step solution:
The gravitational force is the product of the mass of the body and acceleration due to gravity,
$F = m \times g\,................\left( 1 \right)$
Form, the equation (1), it is very clear that the acceleration due to gravity is the constant term. So, when the object is free fall towards earth due to gravity with uniform acceleration.
Acceleration due to gravity is the acceleration that the object is gained by the gravitational force. And the SI unit of the acceleration due to gravity is $m{s^{ - 2}}$. And the acceleration due to gravity has magnitude as well as direction. And it’s standard value is $9.81\,m{s^{ - 2}}$, sometimes the acceleration due to gravity is taken as $10\,m{s^{ - 2}}$.
Thus, the body falls free towards the earth with uniform acceleration.
Hence, the option (C) is the correct answer.
Note:- An object that falls through a vacuum is subjected to only one external force, the gravitational force, expressed as the weight of the object. The acceleration is constant and equal to the gravitational acceleration $g$ which is $9.8$ meters per square second at sea level on the Earth.
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