Question

A body of mass 20 kg is raised up to a certain height due to which the
energy gained by it is 1960 J. Find out the height.​

Answer 1

Answer :-

• The height at which the body is 10 m.

Given :-

• Mass of the body = 20 kg
• Energy gained = 1960 J

To find :-

• Height = ?

Explanation :-

The body is at a point above the ground level. The energy possessed by it is GRAVITATIONAL POTENTIAL ENERGY.

$\underline{\boxed{\bf \bigstar \: PE_g = mgh \: \bigstar}}$

• m = 20 kg
• g = 9.8 m/s²
• h = ??

$\mapsto{\rm{1960 = 20 \times 9.8 \times H}}$

$\mapsto{\rm{1960 =196H }}$

$\mapsto{\rm{H = \dfrac{1960}{196}}}$

$\blue{\underline{\boxed{\mapsto{\rm{H = 10 \: m}}}}}$

Therefore, the height at which the body is 10 m.

Answer 2

Mass of the body = 20 kg

Acceleration = g = 9.8 m/s²

Let the height be = (h) m

We know,

Gravitational potential energy = mgh

∴ mgh = 1960

⇒ 20 × 9.8h = 1960

⇒ h = 1960/(2 × 98)

⇒ h = 20/2

⇒ h = 10.

So, height to which it was raised against gravity is 10 m.