By how many times will the kinetic energy of a body increaseif its speed is tripled? show by calculation.

Question

asked Sep 6, 2021 162k views

1 Answer

Jayendra Parmar · Answer 1 · 2021-09-12T01:03:53+0000

Answer:

9 times

Step-by-step explanation:

Mass of a body remains constant.

Let the mass of a body be 'm'

Let the speed of the body be 'v'

Initial Kinetic Energy (K.E.) =
$(1)/(2) m {v}^(2)$

When speed is tripled , new speed = 3v

Mass of body = m (Mass is always constant)

Final Kinetic Energy (K.E.") =

$(1)/(2) * m * {(3v)}^(2)$

= > (1)/(2) * m * 9v

$= > 9( (1)/(2) m {v}^(2) )$

But we already know that
$k.e. = (1)/(2) m {v}^(2)$

Hence

$= > final \: k.e. = 9(initial \: k.e.)$