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Problems related to mechanical energy is given below:

### Solved Examples

**Question 1: **A person is sitting on a building of height 20m. The mass of the person is 55kg, calculate the mechanical energy?

** Solution: **

Given parameters are,

m = 55kg and h = 20m

Since the person is not moving, K. E = 0

Mechanical energy formula is,

M. E = $\frac{1}{2}$m$v^{2}$ + mgh

Since K.E is zero, the equation becomes,

M.E = mgh

M.E = 55$\times$9.81$\times$20 = 10791 J

**Question 2: **Calculate the mechanical energy of a 10kg object moving with a speed of 15m/s?

** Solution: **

Given parameters are,

m = 10kg and v = 15m/s

Since the person is moving, P. E = 0

Mechanical energy formula is,

M. E = $\frac{1}{2}$m$v^{2}$ + mgh

Since P.E is zero, the equation becomes,

M.E = $\frac{1}{2}$m$v^{2}$

M.E = $\frac{1}{2}$$\times$10$\times15^{2}$ = 1125 J

Given parameters are,

m = 55kg and h = 20m

Since the person is not moving, K. E = 0

Mechanical energy formula is,

M. E = $\frac{1}{2}$m$v^{2}$ + mgh

Since K.E is zero, the equation becomes,

M.E = mgh

M.E = 55$\times$9.81$\times$20 = 10791 J

Given parameters are,

m = 10kg and v = 15m/s

Since the person is moving, P. E = 0

Mechanical energy formula is,

M. E = $\frac{1}{2}$m$v^{2}$ + mgh

Since P.E is zero, the equation becomes,

M.E = $\frac{1}{2}$m$v^{2}$

M.E = $\frac{1}{2}$$\times$10$\times15^{2}$ = 1125 J