Question

a body of mass 1g is raised vertically through a height of 1 cm.the work done is

Answer 1

Work done, W=F.S=mgh      [F=ma: here a=g  so F=mg; S=height=h]
W=1*980*1=980
       OR
W=1*1000*1=1000

THE VALUE OF WORK DONE DEPENDS ON THE VALUE OF "g". THE VALUE OF "g" IS EITHER 980 OR 1000 g/cm^2

Answer 2

Given - Mass and height

Find - Work done

Solution - Work done can be calculated by the formula - mass*acceleration due to gravity*height

As per the known fact, 1000 gram = 1 kilogram and 100 centimetres = 1 metres.

So, mass in kilograms = 1/1000 kilograms and height in metres = 1/100 metres.

Mass = ${10}^{ - 3}$ kilograms and height = ${10}^{ - 2}$ metres.

Keep the values in formula to find the work done.

Taking g = 10 m/s²

Work done = ${10}^{ - 3} \times {10 }^{ - 2} \times 10$

Work done = ${10}^{ - 3 - 2 + 1}$

Performing addition and subtraction of power as per the requirement.

Work done = ${10}^{ - 5 + 1}$

Work done = ${10}^{ - 4}$

Hence, work done is 10-⁴ Joules.