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Since the moon has less mass than the earth, what happens to objects on the moon?

A) They fall faster.
B) They don't fall.
C) They fall at the same rate as they do on the earth.
D) They fall slower.

Respuesta :

C they fall at the same rate as they do on earth

The reason for this is because even though the gravity is different it still doesn't affect the weight of things there, if they are dropped at the same time they will hit at the same time just like on earth. Gravity pull doesn't affect anything.

Hope this helps!

Answer:

correct option is option D (They fall slower)

Explanation:

Let us consider a body of mass m which is at height h, fall  rest and its final velocity while touch the ground  was v.

Let [tex]t_{e}[/tex] be the time taken by the body to fall on earth

We know from Newton's First equation of motion

[tex]v=u+at[/tex]...........(1)

here,

u=0

a=[tex]9.8ms^{-2}[/tex]

and t=[tex]t_{e}[/tex]

put values of u,t and a in equation 1

[tex]v=9.8t_{e}[/tex].

[tex]t_{e}=\frac{v}{9.8}[/tex]............(2)

similarly,

time taken by the same body to fall on moon is given as

[tex]t_{m}=\frac{v}{1.62}[/tex].........(3)

from equation 2 and 3 it is clear that

[tex]t_{e}<t_{m}[/tex]

It means time taken by a body to fall is greater on moon than earth. In other word body fall slower on moon than earth.

We have to find the time in which body touch the earth and moon

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