Question

In a new system of units, let the units of force, energy
and velocity be 10 N, 0.1 J and 100 m/s respectively.
In this new system
Choose the correct answer :
1. The unit of length is
(1) 0.50 m
(2) 1.00 m
(3) 10-3 m
(4) 10-2 m
2. The unit of mass is
(1) 10-5 kg (2) 10-3 kg
(3) 10 -4 kg
(4) 10-2 kg
3. The unit of time is
(1) 10+2 s
(2) 0.5 s
(3) 10 s
(4) 10-4 s
​

Answer 1

1. Force multiply by displace is equal to work done which is converted in energy from there calculate displacement is more u can see from photo

Answer 2

Answer:

1. The unit of length is $10^{-2}$ m       [option(4)]

2.The unit of mass is  $10^{-5}$ kg        [option(1)]      

3.The unit of time is  $10^{-4}$ s            [option(4)]

Explanation:

We know that,

Energy = Force x Displacement(d)

=> 0.1 = 10 x d

=> d = 0.1/10 =0.01 = $10^{-2}$

We know that , velocity = displacement / Time

Time = displacement / velocity = 0.01 / 100 = $10^{-4}$ s

and Force = (mass x velocity) / Time

mass = (Force x Time) / Velocity

mass = (10 x $10^{-4}$) / 100 = $10^{-5}$ kg

1. The unit of length is $10^{-2}$ m .

2.The unit of mass is  $10^{-5}$ kg .

3.The unit of time is  $10^{-4}$ s.