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Arlecino [84]
3 years ago
9

Inverse variation?

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

An Inverse variation states that a relationship between two variables in which the product is always constant.

If one of the variable increases then the other decreases in proportion so that the product is unchanged.

if y is inversely proportional to x, then the equation is of the form

y = \frac{k}{x} , where k is constant.

As per the given condition, A constant force acts upon an object, the acceleration of the object varies inversely with it's mass.

i.e, a \propto \frac{1}{m}

By definition of inverse variation;

a = \frac{F}{m} . ......[1]  ,where F is the constant force.

It is given that an object has mass(m)= 4kg and the acceleration of an object(a) = 14 m/s^2

Substitute these in [1] to find the constant force F;

14 = \frac{F}{4}

or

F =14 \times 4 = 56 kg m/s^2

Now, if the same force acts upon the another object whose mass (m) = 7 kg then calculate acceleration.

[1]⇒  a = \frac{56}{7} = 8 m/s^2

therefore, the acceleration of an another object is, 8 m/s^2


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