While painting the top of an antenna 275 m in height, a worker accidentally lets a 1.00 L water bottle fall from his lunchbox. The bottle lands in some bushes at ground level and does not break.

Question

Physics

Alicia Stanton

24 January, 10:40

While painting the top of an antenna 275 m in height, a worker accidentally lets a 1.00 L water bottle fall from his lunchbox. The bottle lands in some bushes at ground level and does not break.

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Answers (1)

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Malakai Calderon · Answer 1

The force of impact of the water bottle is F = 13,475 N

Explanation:

Given data,

The height of the antenna, h = 275 m

The mass of the 1 L water bottle, m = 1 kg

Let the bottle moves distance immediately after the impact is, d = 0.2 m

The force exerted by the bottle on the bushes at the ground is given by the formula,

F = mgh / d

Substituting the values

F = 1 x 9.8 x 275 / 0.2

= 13,475 N

The value of the force of impact can be reduced by increasing the value of d, it is like the lowering the hand along with the motion of the ball to catch it thereby reduce the force of impact.

The force of impact of the water bottle is F = 13,475 N