Question

If same force acts on a body, what will happen to acceleration of the object when its (i) Mass is doubled? (ii) Mass is made 1/4 th?

Answer 1

It is given that same force acts on a body.

We have to find Acceleration if i) Mass is doubled ii) Mass is made ¼th

Solution

i) Let the force be F, mass be m & acceleration be a.

★ Using the equation :

➼ Force = Mass × Acceleration

➼ Force = 2 × Mass × Acceleration

➼ Force = 2ma"

➼ a" = F/2m

★ Change in Acceleration :

➼ Change = a"/a

➼ Change = (F/2ma)/(F/m)

➼ Change = (F/2m) × (m/F)

➼ Change = 1/2

Hence, acceleration of body becomes ½ (halved). (Answer : i)

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ii) At first,

➝ F = ma

➝ a = F/m ...(i)

Secondly,

Mass made ¼th & force remains same.

➝ F = ¼ × m × a

➝ F = ma/4

➝ 4F = ma

➝ a = 4F/m ...(ii)

★ Change in Acceleration :

➝ Change = (4F/m)/(F/m)

➝ Change = (4F/m) × (m/F)

➝ Change = 4 times.

Hence, acceleration of body becomes 4 times. (Answer : ii)

Answer 2

Answer:

Explanation:(i) the force will also double. The body will weight more therefore big force is needed to push or acts on the object.                                  (ii) the mass is now quarter of its original mass. less force is needed therefore the force will decrease. This implies that force is directly proportinal to the mass of the object. The acceleration will decrease if the mass 0f the body or object increases.