A ball is gently dropped from a height of 20 m. Its velocity increases uniformly at the rate of 10 ms.
What is the final momentum of ball
Answers
Explanation:
We have,
initial speed of ball, u= 0 m/s
acceleration due to gravity, g = 10 m/s²
distance, s = 20 m
final speed of ball, v = ?
Let mass of ball = m
Using third equation of motion,
v² - u² = 2gs
=> v² - 0² = 2 × 10 × 20
=> v² = 400
=> v = 20 m/s
Therefore,
Final momentum of ball = m × 20 = 20m
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Given parameters
Initial Velocity of the ball (u) = 0
Distance or height of fall (s) = 20 m
Downward acceleration (a) = 10 m s-2
As we know
2as = v2 – u2
v2 = 2as + u2
v2 = (2 x 10 x 20 ) + 0
v2 = 400
Final velocity of ball (v) = 20 ms-1
t = (v – u)/a
Time taken by the ball to strike (t) = (20 – 0)/10
t = 20/10
t = 2 seconds
The final velocity with which the ball will strike the ground is (v) = 20 ms-1
The time it takes to strike the ground (t) = 2 seconds
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