On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 4kg weighs 12n . Find the weight of an object whose mass is 9 kg.
To find the weight of an object whose mass is 9 kg, we use the given information that weight varies directly with mass. This means we can set up a proportion:
\( \frac{4kg}{12N} = \frac{9kg}{x} \)
Cross multiplying, we get:
\( 4 * x = 12 * 9 \)
\( 4x = 108 \)
Dividing both sides by 4, we find that:
\( x = 27 \text{ N} \)
Therefore, an object with a mass of 9 kg would weigh 27 N on this planet.