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 K E = 1/2 MV², PE = m × g × h, and g = 9.8 m/s2.
2 answers:
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Answer:
108.7 V
Explanation:
Two forces are acting on the particle:
- The external force, whose work is
- The force of the electric field, whose work is equal to the change in electric potential energy of the charge:
where
q is the charge
is the potential difference
The variation of kinetic energy of the charge is equal to the sum of the work done by the two forces:
and since the charge starts from rest, , so the formula becomes
In this problem, we have
is the work done by the external force
is the charge
is the final kinetic energy
Solving the formula for , we find