Question #41023

Object A has mass of 2 kg and object B has mass of 4 kg. Both masses are dropped from the same
height. Upon reaching the ground, (Ignoring air resistance)
a) Object A has twice the speed of object B
b) Object B has twice the speed of object A
c) Object A has four times the speed of object B
d) Object A has same speed as object B
e) Object B has four times the speed of object A

Expert's answer

Answer on Question #41023, Physics, Mechanics

Object A has mass of 2kg2\mathrm{kg} and object B has mass of 4kg4\mathrm{kg}. Both masses are dropped from the same height. Upon reaching the ground, (Ignoring air resistance)

a) Object A has twice the speed of object B

b) Object B has twice the speed of object A

c) Object A has four times the speed of object B

d) Object A has same speed as object B

e) Object B has four times the speed of object A

Solution:

Free fall as the word states is body falling freely due to the gravitational pull of the earth.

Consider a body falling freely from height hh with velocity vv for time tt seconds due to gravity gg.



Free Fall Formula is


v=2ghv = \sqrt{2gh}


Free fall is independent of the mass of the body. It only depends on height and time period for which body is thrown.

Thus, object A has same speed as object B

Answer.

d) Object A has same speed as object B.

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