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MaRussiya [10]
4 years ago
9

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con

stant force acts upon an object with mass 25 kg, the acceleration of the object is 2 m/s^2. When the same force acts upon another object, its acceleration is 5 m/s^2 . What is the mass of this object?
Physics
1 answer:
notka56 [123]4 years ago
6 0

Given:

mass of object, m = 25 kg

accelaration of the object, a = 2 m/s^{2}

accelaration when force acts upon another object, a' = 5 m/s^{2}

Explanation:

To find the mass m' of the object:

Given that:

mass ∝\frac{1}{accelaration}

Also, from Newton's second law of motion:

F = ma                                (1)

where,

F = force

Now, using eqn (1)

F = m\times a

F =  25\times 2 = 50 N

Now, since constant force acts on both the objects:

Therefore, F' =  m'\times a' = F

50 =  m'\times 5

m' = 10 kg

Therefore, the mass, m' of the second object is 10 kg

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