Question

The force acting on a mass of 1g due to the gravitational pull on the earth is called 1gwt. One gwt equals:
(A) 1 N
(B) 9.8 N
(C) 980 dyne
(D) none of these

Answer 1

1 N = 102.04 gwt. 1 gwt or 1 gram-weight is nothing but the force exerted by a body of mass 1gm under the effect of gravity. = 102.04 gwt. 1 gwt is the force exerted by a body of mass 1 gm due to gravity. 150 gwt is the force exerted by a body of mass 150 gm due to gravity. so mass (M)= 150gm. = 150/1000 kg.

Complete step by step solution:
1gwt is the force acting on a mass of 1g due to gravitational pull on earth
$1gwt = \dfrac{1}{{1000}}Kg \times 9.8m{s^{ - 2}} \Rightarrow 1gwt = 9.8 \times {10^{ - 3}}$
Now we know,
$1N = {10^5}dyne$
Therefore, $9.8 \times {10^{ - 3}}N = 980dyne$
Or, $1gwt = 980dyne$ .

Note:
Dyne is a unit of force in the centimetre-gram-second system of physical units, equal to the force that would give a free mass of one gram an acceleration of one centimetre per second per second. One dyne equals 0.00001 newton.