a man throws A ball of mass 0.5 kilogram vertically upward with a velocity of 25 metre per second find the initial momentum of the ball
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Answer:
6.25√2 kgm/s
Explanation:
Mass of the ball = 0.5kg (Given)
Upward velocity = u =25m/s (Given)
According to the equation -
p = u × m
= 0.5 × 25
= 12.5kg m/s
Maximum height = u²/2g
= (25)²/2×10
= 625/20
= 31.25 m
Thus, half of the maximum height = 31.25/2 = 15.625 m
v² = u² -2gh
v² = (25)² - 2 × 10 × (15.625)
V² = 625 - 312.5 = 312.5
V = 12.5√2 m/s
Momentum at the half of maximum height = mass × velocity at half of maximum height
= 0.5 × 12.5 √2
= 6.25√2 kgm/s
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