Two spheres of same size, one of mass 2 kg and another of mass of 4 kg are dropped simultaneously from the top of qutab minar (height=72 cm) .When they are 1 m above the fround the two spheres have the same
Answers
THEY HAVE SAME acceleration velocity as well as displacement (neglifying the effect of air resistance and related forces).
Given : Two spheres of same size, one of mass 2 kg and another of mass 4 kg, are dropped simultaneously from the top of Qutab Minar (height = 72m)
( correction height = 72 cm should be 72 m as if height is 72 cm < 1 m then after drop object will never have height of 1 m from ground)
To Find : When they are 1 m above the ground, the two spheres have the same
Solution:
Both spheres are under constant force i.e gravitational force.
Hence both spheres have the same acceleration i.e g acceleration due to gravity
Hence When they are 1 m above the ground, the two spheres have the same acceleration.
As both are dropped so initial velocity = 0 for both
Hence velocity will be same for both when 1 m above the ground. as acceleration is constant.
Momentum = mass * velocity
Velocity is same but masses are different hence Momentum will be different
Kinetic Energy = (1/2)mass * (velocity)²
Velocity is same but masses are different hence Kinetic Energy will be different
Potential Energy = mass * g * height
as g and h are equal but masses are different hence potential Energy will be different
So correct option is Acceleration
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