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According to Newton’s second law of motion, the acceleration of an object is inversely proportional to which quantity?

a. velocityb.massc.net forced.displacement

2 Answers

3 votes

Answer: mass

Step-by-step explanation:

User Muhammed Kashif
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7 votes

Answer:

Step-by-step explanation:

Newton's second law of motion states that the rate of change of momentum is proportional to the applied force and it takes place in the direction of the force

I.e

F ∝ rate of change of momentum

Momentum is given as p =mv

F ∝ (mv-mu) / t

Let k be constant of proportion

F =k (mv-mu)/t

F= km(v-u)/t

We know that,

a = ∆V/t = (v-u)/t

Then,

F = kma

The unit of force is chosen so that k=1.

Then, F=ma

So, rearranging this will give as

a = F/m

If we assume that F is constant

Then, a ∝ 1/m

So, acceleration is inversely proportional to mass

The right option is b.

User Shachar Shemesh
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8.5k points