A ball of mass 0.20kg is thrown vertically upwards with an initial velocity of 20m/s.calculate the maximum potential energy it gain as it goes up.
Answers
will have the maximum potential energy at H max
then H max
=
=
= 20m
now as PE = mass × g × height
=> 0.2 × 10 × 20
=> 40 Joles
maximum potential energy = 40 J
a particle is thrown vertically upwards with speed 20 m/s. at maximum height it velocity becomes zero so, the kinetic energy becomes zero but potential energy becomes maximum at that point.
from law of conservation of energy,
initial mechanical energy = final mechanical energy
⇒initial kinetic energy + initial potential energy = final kinetic energy + final potential energy
⇒1/2 mv² + 0 = 0 + final potential energy
⇒1/2 × 0.2kg × (20 m/s)² = final potential energy
⇒final potential energy = 1/2 × 0.2 × 400 = 40J
and final potential energy is the maximum potential energy so, maximum potential energy = 40 J
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