Question

An object of mass 25 kg is at certain height above the ground .if potential energy of the object is 5000 J,find the height at which the object is with respect to ground. Given,g=10 m/s²

Answer 1

Answer:

h = 20m

Explanation:

Answer 2

Given,

Mass of an object = 25 Kg

The potential energy of the object at a certain height above the ground = 5000 J

Acceleration due to gravity = 10 m/s²

To find,

The height at which the object is with respect to the ground.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The potential energy of an object

= (mass of the object)×(height at which the object is with respect to ground)×(acceleration due to gravity){Statement-1}

Now, according to the question;

The potential energy of the object at a certain height above the ground = 5000 J

=> (mass of the object)×(height at which the object is with respect to ground)×(acceleration due to gravity) = 5000 J

=> (25 Kg)×(height at which the object is with respect to ground)×(10 m/s²) = 5000 J

=> height at which the object is with respect to ground = 5000/(25×10) m = 5000/250

=> height at which the object is with respect to ground = 20 m

Hence, the height at which the object is with respect to the ground is equal to 20 m.