Question

calculate the potential energy of an object of mass 50 kg is raised to a height of 4 metre above the ground if the object falls down what it it kinetic energy when it has falling Thorough 2 metre taken g= 10 metre per second square.​

Answer 1

Answer:

kinetic eneargy =1000J

Answer 2

Potential energy, P = 2000 J

Kinetic energy, E = 998.56 J

Explanation:

Given that,

Mass of the object, m = 50 kg

It is raised to a height of 4 meters above the ground, h = 4 m

The potential energy of an object is possessed due to its height. It is given by :

$P=mgh\\\\P=50\times 10\times 4\\\\P=2000\ J$

Let K is the kinetic energy when it has falling thorough 2 meter. Its final velocity is given by :

$v^2-u^2=2ad\\\\\text{Here}, u=0\\\\v=\sqrt{2gd} \\\\v=\sqrt{2\times 10\times 2} \\\\v=6.32\ m/s$

The kinetic energy is given by :

$E=\dfrac{1}{2}mv^2\\\\E=\dfrac{1}{2}\times 50\times (6.32)^2\\\\E=998.56\ J$

Hence, this is the required solution.

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