When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

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When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

t force acts upon an object with mass 3 kg, the acceleration of the object is 25 m/s^2. If the same force acts upon another object whose mass is 5 kg, what is this object's acceleration?

Mathematics

1 answer:

Orlov [11] · Answer 1 · 2023-12-10T18:22:17+03:00

If the same force acts upon another object whose mass is 5 kg, the object's acceleration will be 1.667 m/s^2.

<h3>How can the acceleration be calculated?</h3>

We were told that the constant force acts upon an object, and the acceleration of the object varies inversely with its mass, which can be interpreted as :

A = k/M

where M is the mass of the object.

A = acceleration

the k= proportionality constant

then we were told that mass is 3 kg, the acceleration of the object is 25 m/s^2

then substitute into the equation as:

25 =k*3

k= 25/3

then we were told that when mass is 5 kg, then acceleration will be ?

A= (25/3 )/5 = 1.667m/s^2.