Courses
Courses for Kids
Free study material
Offline Centres
More
Store

In vacuum on the earth surface, all freely falling bodies:A) Have the same speedB) Have the same velocityC) Have the same forceD) Have the same acceleration

Last updated date: 06th Sep 2024
Total views: 78k
Views today: 2.78k
Verified
78k+ views
Hint: The motion of any moving object is given by Newton’s second law of motion, which gives,${F = m}\times {a}$. Also for a freely falling body, gravity is the only force acting upon it.

Formulae used:
\begin{align} & {1}{. F = }\dfrac{{GMn}}{{{{r}}^{{2}}}} \\ & 2.{ F = m}\times {a} \\ \end{align}

Complete step by step solution:
According to Newton's universal law of gravitation force acting on the body is given by
${F = }\dfrac{{GMn}}{{{{r}}^{{2}}}}$
Where m is mass of bodies, which every different body is having different from others hence force acting on different bodies will be different. G is the Universal Gravitational Constant (${G=6}{.672 }\!\!\times\!\!{ 1}{{{0}}^{{-11}}}{N}{{{m}}^{{2}}}{/k}{{{g}}^{{2}}}$)
Also we know according to newton’s second law of motion, ${F = m}\times {a}$ so acceleration is $\dfrac{{Force}}{{Mass}}={ }\dfrac{{GM}}{{{{r}}^{{2}}}}$ ​, this is independent of the mass of the body or type of the body.
Also, speed or velocity depends on time for which it is accelerated because acceleration is the same which is equal to acceleration due to gravity

Thus option D is correct.

Note: All objects, regardless of size or shape or weight free fall with the same acceleration which is equal to gravitational acceleration ‘g’. For a free falling body, the net external force is equal to ${F= m}\times g$, which is equal to weight of the body ${(W = m}\times {g)}$.