Question

In a new system of unit ,the unit of mass is kg ,the unit of length and time are respectively b m and c s . what is the magnitude of 6 W of power , in this system​

Answer 1

Answer:

Explanation:

Here's your answer in the pic

Answer 2

Answer:

The magnitude of 6 watt of power in the new system is $\frac{6c^{3} }{ab^{2} }$

Explanation:

Given:

• The unit of mass is a kg
• The unit of length is b m
• The unit of time is c s

To find: The magnitude of 6W of power

Solution:

Given data:

In the new system unit of

Mass = a kg

Length = b meter

Time = c sec.

Power = $\frac{work done}{ time}$ $\frac{kgm^{2} }{s^{3} }$

Calculation of magnitude of 6 watt of power:

We know that,

$Watt = \frac{J}{sec}$

 = $\frac{N-m}{sec}$

= $\frac{kgms^{-2} }{s} = \frac{kgm^{2} s^{-2} }{s}$

= $kgm^{2} s^{-3}$

W = $\frac{kgm^{2} }{s^{3} }$

a kg = new unit of mass

1kg = $\frac{1}{a}$ new unit of mass

b m = New unit of length

1m = $\frac{1}{b}$ new unit of length

c sec = $\frac{1}{c} new unit of time$

1W = $\frac{1kgm^{2} }{sec^{3} }$

6W = 6 × $\frac{1kgm^{2} }{sec^{3} }$

6W = 6 × $\frac{\frac{1}{a}*(\frac{1}{b} )^{2} }{(\frac{1}{c} )^{2} }$

6W = 6 × $\frac{(c)^{3} }{ab^{2} }$

6W = $\frac{6c^{3} }{ab^{2} }$

Final answer:

The magnitude of 6 watt of power in the new system is $\frac{6c^{3} }{ab^{2} }$

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