Question

If the unit of mass is doubled and the the units of length and time are halved, how much is 20n of force in the new units?

Answer 1

Dear Student,

● Answer -

20 N = 5 yx/z²

◆ Explaination -

Let x, y and z are units od length, mass and time in new system of units.

# Given -

1 x = 1/2 m

1 y = 2 kg

1 z = 1/2 s

# Solution -

As we know,

20 N = 20 kgm/s²

20 N = 20 (1 kg) × (1 m) / (1 s)²

Substitute 1 m = 2 x, 1 kg = 1/2 y and 1 s = 2 z,

20 N = 20 (1/2 y) × (2 x) / (2 z)²

20 N = 5 yx/z²

Therefore, 20 N force will be of magnitude 5 units in new system.

Thanks dear...