ellibriglia04
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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.

Respuesta :

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. 

skyluke89

Answer:

1/4

Explanation:

The weight of an object is given by:

[tex]W=mg[/tex]

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:

[tex]m_C g_C = m_D g_D[/tex]

where:

[tex]m_C = 3600 kg[/tex] is the mass of object C

[tex]m_D = 900 kg[/tex] 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:

[tex]g_C = \frac{m_D}{m_C}g_D = \frac{900 kg}{3600 kg}g_D = \frac{1}{4}g_D[/tex]

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

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