#### To determine

**To find:**

The work done when a hoist lifts a 200- kg rock to a height of 3 m.

#### Answer

*5880 J*

#### Explanation

**1) Concept:**

Use the formula for work done and force

**2) Formula:**

i. *W=F·d*, Where *F* is force and *d* is distance

ii. *F=m·g*, Where *m* is mass and *g* is acceleration due to gravity

**3) Given:**

i. *m=200 kg*

ii. *d=3 m*

**4) Calculation:**

The work done when a hoist lifts a *200 kg* rock to a height of *3 m* can be calculated by using the formula

*W=F·d*

But *F=m·g*

Substitute this value of F in the above equation

Therefore,

*W=m·g·d*

*g=9.8 m/s2*

Substitute all the values in the equation

*W=200kg·(9.8 m/s2)·(3 m)*

Simplify,

*W=1960N·3 m=5880 J*

**Conclusion:**

The work done when a hoist lifts a *200 kg* rock to a height of *3 m* is *5880 J*