One slug is equivalent to 14.6 kg. A force of 10 pound is applied on a body of 1 kg. The acceleration of the body is

Question

One slug is equivalent to 14.6 kg. A force of 10 pound is applied on a body of 1 kg. The acceleration of the body is (A) 44.5 ms -2 (B) 4.448 ms -2 (C) 44.4 ms -2 (D) None of these

Tardigrade Admin · Accepted Answer

Force, F=m a ∴ a =(F/m)=(10 text pound /1 kg ) =10 ( text pound / kg )=(10 text slug ft / kg s 2) =10 × 14.6 kg ( ft / kg s 2)=146 ( ft / s 2) =146 × 0.30 ms -2=44.5 ms -2

Q. One slug is equivalent to $14.6 k g$ . A force of 10 pound is applied on a body of $1 k g$ . The acceleration of the body is

$44.5 m s^{- 2}$

$4.448 m s^{- 2}$

$44.4 m s^{- 2}$

None of these

Force, $F = ma$
$∴ a = \frac{F}{m} = \frac{10 pound}{1 k g}$
$= 10 \frac{pound}{k g} = \frac{10 slug f t}{k g s ^{2}}$
$= 10 \times 14.6 k g \frac{f t}{k g s ^{2}} = 146 \frac{f t}{s ^{2}}$
$= 146 \times 0.30 m s^{- 2} = 44.5 m s^{- 2}$

Q. One slug is equivalent to 14.6kg. A force of 10 pound is applied on a body of 1kg. The acceleration of the body is

44.5ms−2

4.448ms−2

44.4ms−2