112k views
0 votes
Times will the kinetic one

Kinetic energy
. By how many
body increase if its speed is tripled? show by
gy of a
calculation,​

User Sjd
by
5.2k points

1 Answer

3 votes

Answer:

The new kinetic energy is 9 times of the initial kinetic energy.

Step-by-step explanation:

The kinetic energy of an object is given by the formula as follows :


E=(1)/(2)mv^2

Where

m is mass and v is speed of the body

If the speed of the body is tripled. Let v' is the new speed, v' = 3v. The new kinetic energy is E' and it is given by :


E'=(1)/(2)mv'^2\\\\\text{Put v' = 3v}\\\\E'=(1)/(2)m* (3v)^2\\\\=(1)/(2)m* 9v^2\\\\=9* ((1)/(2)mv^2)\\\\E'=9* E

Hence, the new kinetic energy is 9 times of the initial kinetic energy.

User Wykk
by
5.4k points