Question

An object of mass 'm' is allowed to fall freely from point A as shown in the figure. Calculate the total mechanical energy of the object at :
(i) Point A.
.

Answer 1

Step 1: Given data

Given object of $mass=m$

Stationary at point A.

$Velocity=0$

Step 2: Kinetic Energy

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

Substitute the value in above equation we get,

$K.E=\frac{1}{2}m{\left(0\right)}^2=0$

Kinetic energy $K.E=0$

Step 3: Potential energy

$=mgh$

g is gravitational force, h is height.

substitute the value in above equation we get,

Potential energy $U=mg(x+y)$

Step 4: Total energy

$Totalenergy=U+K.E$

Substitute the value in above equation we get,

$T=U+K.E=mg(x+y)$

Hence the total mechanical energy of the object at point A is $T=U+K.E=mg(x+y)$