Two balls of same mass and identical in shape and size are allowed to fall from two different height 16 m and 64 M then the ratio of their Momentum just before striking the ground is
Answers
To find
ratio of momentum, it’s required to find their velocities.
To find velocities, apply conservation of energy.
For first ball,
m1gH1 = 1/2 m1 v1^2
Square root (2gH1) = v1…………..(1)
Similarly for second ball ,
Squareroot (2gH2) = v2…………..(2)
Ratio of momentum,
P1/P2 = m1v1/m2v2
=squareroot(2gH1)/ squareroot (2gH2)
(Mass of both balls same (given ) I.e. m1=m2)
= squareroot(2*g*16)/squareroot(2*g*64)
=4/8
=1/2
P1/P2 =1/2
This suggests that mass fallen from higher height has more momentum than other.
Answer:
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Explanation:
ratio of momentum, it’s required to find their velocities.
To find velocities, apply conservation of energy.
For first ball,
m1gH1 = 1/2 m1 v1^2
Square root (2gH1) = v1…………..(1)
Similarly for second ball ,
Squareroot (2gH2) = v2…………..(2)
Ratio of momentum,
P1/P2 = m1v1/m2v2
=squareroot(2gH1)/ squareroot (2gH2)
(Mass of both balls same (given ) I.e. m1=m2)
= squareroot(2*g*16)/squareroot(2*g*64)
=4/8
=1/2
P1/P2 =1/2
This suggests that mass fallen from higher height has more momentum than other.