Question

How much work is required to lift a 2kg hammer from a height of 50m to a height of 60m above the ground

Answer 1

Given :

• Mass of hammer (m) = 2 kg
• It is lifted from height 50m to 60 m

To Find :

• Work Done to be done

Solution :

We're given that the mass of hammer is 2 kg. And it is lifted from height of 50m to 60 m. First of all we've to find our the height up-to which hammer is lifted

⇒h = 60 - 50

⇒h = 10 m

So, height to which hammer is lifted is 10 m

_______________________________

Here, work done is stored as Potential Energy :

⇒W = P.E

⇒W = mgh

Where,

• W is work done
• m is mass
• g is acceleration due to gravity
• h is height

⇒W = 2 * 10 * 10

⇒W = 20 * 10

⇒W = 200

$\therefore$ Work Done in lifting hammer is 200 Joules

Answer 2

Given:-

• Mass of hammer = 2kg

• Initial Height of hammer =50m

• Final Height of hammer = 60m.

• Acceleration due to gravity =9.8m/s²

To Find:-

• Work done required to life hammer .

Solution :-

By using this Formula

work done = Mass × acceleration due to gravity × height.

➦W = mgh

Distance covered by hammer when lft of height 50m to 60m.

☛Final height - initial height

☛ 60-50= 10 m

∴ The height of hammer when lift from initial position to final position is 10m.

Now,

➭W = mgh

➭ W = 2 × 9.8 ×10

➭ W = 19.6× 10

➭ W = 196 Joule.

∴The work done to lift hammer is 196 J.