Question

In a particular system of unit, if unit of mass becomes half and that of time becomes twice than 10 joule of work will be written as ____ units of work.

Answer 1

Answer:

10 joule of work will be 1.2 joule.

Explanation:

The units of all terms

Mass = kg

Length = m

Time = s

The work of 10 joule can be defined as:

$W=10\dfrac{kg-m^2}{s^2}$

Now new unit as,

If unit of mass becomes half and that of time becomes twice.

$Mass=\dfrac{kg}{2}$

$Time =2s$

The new unit of work is

$10 J=10\dfrac{kg-m^2}{s^2}$

$10 J=10\dfrac{\dfrac{kg}{2}-m^2}{(2s)^2}$

$10 J=10\times\dfrac{1}{8}\dfrac{kg-m^2}{s^2}$

$10 J=1.2\dfrac{kg-m^2}{s^2}$

$10\ joule=1.2\ joule$

Hence, 10 joule of work will be 1.2 joule.

Answer 2

Explanation:

10 joule of work will be 1.2 joule.

Explanation:

The units of all terms

Mass = kg

Length = m

Time = s

The work of 10 joule can be defined as:

W=10\dfrac{kg-m^2}{s^2}W=10

s

2

kg−m

2

Now new unit as,

If unit of mass becomes half and that of time becomes twice.

Mass=\dfrac{kg}{2}Mass=

2

kg

Time =2sTime=2s

The new unit of work is

10 J=10\dfrac{kg-m^2}{s^2}10J=10

s

2

kg−m

2

10 J=10\dfrac{\dfrac{kg}{2}-m^2}{(2s)^2}10J=10

(2s)

2

2

kg

−m

2

10 J=10\times\dfrac{1}{8}\dfrac{kg-m^2}{s^2}10J=10×

8

1

s

2

kg−m

2

10 J=1.2\dfrac{kg-m^2}{s^2}10J=1.2

s

2

kg−m

2

10\ joule=1.2\ joule10 joule=1.2 joule

Hence, 10 joule of work will be 1.2 joule.