Question

plzzz answer me with solution................. An iron sphere of a mass 30 kg has the same
diammeter as an aluminium sphere whose mass
is 10.5 kg. The spheres are dropped
simulatingously from a cliff, when they are 10
m from the ground they have the same :
(a) momentum (b) acceleration
(c) K.E
(d) P.E...........................with solution plzzz​

Answer 1

Answer:

Explanation:

i think its answer will be p.energy bcz p.energy is height deppttt....in case of wrong ans then kindly inform me..thnkss

Answer 2

(b) Acceleration

Both the spheres have different masses, one is of 30kg and the other is of 10.5 kg, even they've same diameter, or same volume.

That is why both spheres have different Linear Momentum, Kinetic Energy and Potential Energy, because these three terms depend on the mass.

★ Equation for linear momentum is $\displaystyle\sf {p=mv.}$ Here we can see that linear momentum depends on the mass.

★ Equation for kinetic energy is $\displaystyle\sf {K=\dfrac {1}{2}mv^2.}$ Here we can see that kinetic energy depends on the mass.

★ Equation for potential energy is $\displaystyle\sf {U=mgh.}$ Here we can see that potential energy depends on the mass.

But acceleration is same for each sphere, and that acceleration is none other than the acceleration due to gravity, $\displaystyle\sf {g}$ (assuming no other external force is acting there). The acceleration due to gravity does not depend on the mass of the falling object.

Dimensional analysis can also be applied for the answer.

★ Dimension of linear momentum is $\displaystyle\sf {[p]=MLT^{-1}.}$ Yes, it depends on the mass!

★ Dimension of kinetic energy is $\displaystyle\sf {[K]=ML^2T^{-2}.}$ Yes, it also depends on the mass!

★ Dimension of potential energy is the same as that of the kinetic energy, i.e., $\displaystyle\sf {[U]=ML^2T^{-2}.}$ Hence it also depends on the mass.

★ But Dimension of acceleration is $\displaystyle\sf {[a]=LT^{-2}.}$ Oh, there's no dimension of mass, so it doesn't depend on any mass.

Hence (b) acceleration is the answer.