Soru
When a constant force is applied to an object, the acceleration of the object yaries inversely with its mass. When a certain constant force acts upon an object with mass 6 kg the acceleration of the object is 13m/s^2 When the same force acts upon another object,its acceleration is 3m/s^2 . What is the mass of this object? square
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Ali
Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
Cevap
To solve this problem, we can use the concept of inverse variation. According to the problem, the acceleration of an object varies inversely with its mass when a constant force is applied.Let's denote the mass of the first object as
and its acceleration as
. Similarly, let's denote the mass of the second object as
and its acceleration as
.Given:-
kg-
m/s²-
m/s²Since acceleration varies inversely with mass, we have the relationship:
Now, we can solve for
:
Substitute the given values:
Calculate the value:
Therefore, the mass of the second object is
kg.