Question

In a new system of units, if the unit of power is
1 milliwatt, the unit of force is 10-2N, and the
unit of time is 1 minute then what will be the
units of mass and length ?
1) 6 kg ; 6 m 2) 3 kg ; 3 m
3) 2 kg ; 2 m 4) 6 kg ; 1 m​

Answer 1

Answer:

Explanation: i cant understand the value of focrce either 10.2 or 10-2force value

Sorry just now I understand the the meaning of 10-2 Power P = W/t = work/ time = Force x displacement/time

dist s = P x t/ F = (1x10^-3 x 60)/ 10^-2 = 6 m

mass m

Power P = Work w/time t = Forcex distance/ time

P = mal/t

 m = Pxt/al = pxt/ l^2/t^2 (l = distance)

m = Px t^3/ l^2 = (1x10^-3 x 60x 60x 60)/ (6x 6) = 6 Kg

Answer 2

Correct Question

In a new system of units, if the unit of power is 1 milliwatt, the unit of force is $10\times 10^{-2}$ , and the unit of time is 1 minute then what will be the units of mass and length ?

1) 6 kg ; 6 m 2) 3 kg ; 3 m

3) 2 kg ; 2 m 4) 6 kg ; 1 m​

Answer:

The value of the units of mass and length will be 6 kg  and  6 m respectively and option (1) is correct.

Explanation:

Given:

The unit of power is 1 miliwatt .

The unit of force is $1\times 10^{-2}$ N.

The unit of time is 1 minute.

Formula Used:

$Power=\frac{Work\ done }{Time}$

           $= \frac{Force\times Displacement}{Time}$

$Power=\frac{Force\times Length}{Time}$   -------------------- formula no.01.

$Power=\frac{Force\times Displacement}{Time}$

          $= \frac{Mass\times Acceleration\times Displacement}{Time}$

Using $Acceleration=\frac{Velocity}{Time} = \frac{Displacement}{Time^{2} }$

          $Power= \frac{Mass\times Displacement\times Displacement}{Time^{2} \times Time}$  

          $Power=\frac{Mass\times Length^{2} }{Time^{3} }$  --------------- Formula no.02.

 Solution:    

As given-the unit of power is 1 miliwatt .      

Power=1 miliwatt =$=1\times 10^{-3} \ watt$

As given-the unit of force is $1\times 10^{-2}$ N.

Force =$1\times 10^{-2}$

As given-the unit of time is 1 minute.

Time= I minute= 60 Second.

Applying formula no. 01.

$Power=\frac{Force\times Length}{Time}$

$1\times 10^{-3} =\frac{1\times 10^{-2} \times Length}{60}$

$Length=\frac{1\times 10^{-3} \times60 }{1\times 10^{-2} }$

             $=6\ m$  

         

Thus, Length  will 6m.

Applying formula no.02.

$Power=\frac{Mass\times Length^{2} }{Time^{3} }$

$1\times 10^{-3} =\frac{Mass\times 6^{2} }{60^{3} }$

$Mass=\frac{1\times 10^{-3}\times 60^{3} }{6^{2} }$

          $=\frac{1\times 10^{-3}\times 60\times60\times60 }{36 }$

           $=6\ kg$

Thus, Mass will be 6kg.

Thus,the value of the units of mass and length will be 6 kg  and  6 m respectively and option (1) is correct.

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