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Jeff is part of a trekking team. As he climbs a hill, he drops his water bottle, which has a mass of 0.25 kilograms.

The bottle slides down the hill and is moving at a velocity of 14 meters/second the instant it hits the ground. The vertical height from where Jeff dropped the bottle is __?__ meters. Ignore friction, and use , PE = m × g × h, and g = 9.8 m/s2.

2 Answers

5 votes

Answer:

10

Step-by-step explanation:

Use the equation :3

User Smeso
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5 votes
The kinetic energy of the ball is
KE = 1/2 (0.25) (14)²
KE = 24.5 J

Equate it to the potential energy of the ball when it's dropped which is
PE = 0.25 (9.81) h
PE = 2.45 h

Equating...
24.5 = 2.45 h
Solve for h
h = 10 m

The bottle was dropped 10 m above the ground.
User Aaron Maenpaa
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6.0k points