A uniform meter rule of mass 100g balance at a 40cm mark when a mass x is placed at the 10cm mark.What is x?
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To find the value of x, we can use the principle of moments. The principle of moments states that the sum of the clockwise moments about any point is equal to the sum of the anticlockwise moments about the same point.
In this case, we can take moments about the 40cm mark on the meter rule. The clockwise moment created by the 100g mass at the 40cm mark is given by (100g * 40cm). The anticlockwise moment created by the mass x at the 10cm mark is (x * 10cm).
According to the principle of moments, these two moments should be equal:
100g * 40cm = x * 10cm
To solve for x, we can rearrange the equation:
x = (100g * 40cm) / 10cm
x = 400g
Therefore, the value of x is 400g.