If the unit of force is 1 kilo newton, the length is 1 km and time 100 s, what will be the unit of mass?

Question

If the unit of force is 1 kilo newton, the length is 1 km and time 100 s, what will be the unit of mass? (A) 1,000 kg (B) 1 kg (C) 10,000kg (D) 100 kg

Tardigrade Admin · Accepted Answer

Let x kg be unit of mass, then F =(x kg )1(1000 m )1(100 s )-2 1000 =x × 1000 × (1/10000) x =10000 kg x =104 kg

Q. If the unit of force is $1$ kilo newton, the length is $1 km$ and time $100 s$ , what will be the unit of mass?

1,000 kg

1 kg

10,000kg

100 kg

Let $x k g$ be unit of mass, then
$F = (x k g)^{1} (1000 m)^{1} (100 s)^{- 2}$
$1000 = x \times 1000 \times \frac{1}{10000}$
$x = 10000 k g$
$x = 1 0^{4} k g$

Q. If the unit of force is 1 kilo newton, the length is 1km and time 100s, what will be the unit of mass?