Question

Determine the mechanical energy of this object: a 2-kg pendulum has a speed of 1 m/s at a height of 1/2 meter.

A: 1 J
B: 10.8 J
C: 2 J
D: 9.8 J

Answer 1

the answer is B 10.8 j 

Answer 2

The mechanical energy of this object is 10.8 Joules.

Step-by-step explanation:

Mechanical energy is the sum of kinetic energy and potential energy.

`M.E=P.E+K.E`

`M.E=mgh+(1)/(2)mv^2`

m = mass of the object

v = velocity of the moving object

h = height at which an object is placed

g = Acceleration due to gravity

We have : m = 2 kg. v = 1 m/s , h = 1/2 m

`M.E=2 kg* 9.8 m/s^2* (1)/(2)m+(1)/(2)* 2 kg * (1 m/s)^2`

`M.E=9.8 J+1 J=10.8 J`

The mechanical energy of this object is 10.8 Joules.