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Object C has a mass of 3,600 kilograms. Object D has a mass of 900 kilograms. Both objects were placed on different planets so that their weights are equal. The gravity acting on Object C is _____ times the gravity acting on Object D.

User Jkincali
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the answer is 1/4
this is actually a very simple question because if you divide 3,600 by 4 that equals 900 so if you want them to be the same waight you need 3,600 to be multiplied by 1/4.

User Roselyn
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Answer:

1/4

Step-by-step explanation:

The weight of an object is given by:


W=mg

where m is the mass of the object and g is the acceleration due to gravity on the planet.

We are told that object C and object D have same weight, so we can write:


m_C g_C = m_D g_D

where:


m_C = 3600 kg is the mass of object C


m_D = 900 kg is the mass of object D

We can re-arrange the equation to find a relationship between the gravity acting on object C and the gravity acting on object D:


g_C = (m_D)/(m_C)g_D = (900 kg)/(3600 kg)g_D = (1)/(4)g_D

So, the gravity acting on object C is 1/4 times the gravity acting on object D.

User Huiwei
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