Question

a body of mass 1kg projected vertically up with certain velocity .at certain point it's potential energy and kinetic energy are 8J and 90J.the maximum height reached by it is (g=9.8m/s^2)

Answer 1

hope this will help you ..

Answer 2

Answer:

The maximum height is 10 meter.

Step-by-step explanation:

Given : A body of mass 1 kg projected vertically up with certain velocity. At certain point it's potential energy and kinetic energy are 8 J and 90 J.

To find : The maximum height reached by it ?

Solution :

Mass of the body is 1 kg.

Potential energy is 8 J.

Kinetic energy is 90 J.

Gravitational force g=9.8 m/s².

Mechanical energy is defined as the sum of kinetic and potential energy in an object that is used to do work.

$ME=PE+KE$

$ME=8+90$

$ME=98 J$

So, $PE+KE=98$

Now, At highest point Kinetic energy became zero.

$mgh+0=98$

$1\times 9.8\times h=98$

$h=\frac{98}{9.8}$

$h=10$

Therefore, The maximum height is 10 meter.