50.9k views
5 votes
1 point

If you had an object (m=55kg) with a mechanical energy (TOTAL ENERGY)

of 4,306J and 2,940J of that is potential energy. What is the objects

velocity?

User Manish Das
by
6.9k points

1 Answer

4 votes

Given that,

Mass of object, m = 55 kg

Mechanical energy of the object, M = 4306 J

Potential energy, P = 2940 J

We know that the mechanical energy is the sum of kinetic and potential energy such that,

Mechanical energy = kinetic energy + potential energy


K=M-P\\\\K=4306-2940\\\\K=1366\ J

Kinetic energy is given by :


K=(1)/(2)mv^2v is velocity of object


v=\sqrt{(2K)/(m)} \\\\v=\sqrt{(2* 1366)/(55)} \\\\v=7.04\ m/s

So, the velocity of object is 7.04 m/s.

User Pkk
by
6.5k points