Question

Calculate the work needed for 65kg person to climb through 4.0 m on the surface of the earth and the moon ( g =1.60m/s^2

Answer 1

On earth
Work = mgh
= 65kg × 9.8m/s² × 4.0m
= 2548 J

On Moon
Work = mgh
= 65kg × 1.60m/s² × 4.0m
= 416 J

Answer 2

Answer : The work done on earth and on moon is, 2548 J and 416 J respectively.

Solution :

Formula used :

$w=mgh$

where,

w = work done

m = mass of a person

h = height = 4 m

g = gravitation on earth = $9.8m/s^2$

g = gravitation on moon = $1.60m/s^2$

Now we have to calculate the work done on the earth and the moon.

$\text{Work done on earth}=(65Kg)\times (9.8m/s^2)\times (4m)=2548\text{ Kg }m^2/s^2=2548J$

$\text{Work done on moon}=(65Kg)\times (1.60m/s^2)\times (4m)=416\text{ Kg }m^2/s^2=416J$

Theretofore, the work done on earth and on moon is, 2548 J and 416 J respectively.