Answer:
(c)0.33 Kg
Explanation:
Hello
the two masses will generate a moment around the pivot point,
the generated moment is defined by
M=fxd
where f is the force and d is the distance,
now, for this case the force is the weight of the mass , it can be calculated by:
weight(w)=mg
where m is the acceleration of the gravity and m is the mass of the object.
the system is balanced so the two momentums are equal :
[tex]M_{1}=M_{2}\\m_{1}*d_{1} *g=m_{2}*d_{2} *g\\the\ g\ is\ cancelled\\m_{1}*d_{1} =m_{2}*d_{2} \\isolating\ m_{2}\\[/tex]
Let
[tex]m_{1}=100\ g\\d_{1}=10\ cm\\d_{2}=3\ cm\\\\ replacing\\\\m_{2}=\frac{m_{1}*d_{1} }{d_{2}}\\m_{2}=\frac{100\ g*10\ cm }{3\ cm}\\m_{2}=\frac{1000\ g}{3} \\m_{2}=333.33\ g\\[/tex]
the answer is given in Kg, t
convert g into Kg using a rule of three
if
1Kg⇔ 1000 g
x?Kg ⇔ 333.33g
the relation is
[tex]\frac{1\ kg}{1000\ g}= \frac{x}{333.33\ g}\\ solve \ for\ x \\x=\frac{333.33\ g*1\ kg}{1000\ g}\\x=\frac{333.33 Kg}{1000}\\ x=0.33\ Kg[/tex]
so, the answer is (c) 0.33 Kg
Have a good day
