Question

A boy of mass 50 kg climbs up a vertical height of 100 m. Calculate the amount of potential energy he gains.( g= 10 m/s2) ​

Answer 1

Provided that:

• Mass of boy = 50 kg
• Height = 100 metre
• g = 10 m/s sq.

To calculate:

• Potential energy

Solution:

Potential energy = 50000 J or 50 kJ

Using concept:

• Potential energy formula

Using formula:

• ${\small{\underline{\boxed{\pmb{\sf{E_p \: = mgh}}}}}}$

Where, E_p denotes potential energy, m denotes mass, g denotes acceleration due to gravity and h denotes height.

Required solution:

${\sf{:\implies Potential \: energy \: = mgh}}$

${\sf{:\implies E_p \: = mgh}}$

${\sf{:\implies E_p \: = 50 \times 10 \times 100}}$

${\sf{:\implies E_p \: = 50 \times 1000}}$

${\sf{:\implies E_p \: = 50000 \: J}}$

${\sf{:\implies Potential \: energy \: = 50000 \: Joules}}$

${\sf{:\implies Potential \: energy \: = 50 \ kJ}}$

• Henceforth, potential energy = 50,000 Joule or 50 kJ.